Proving a quadrilateral is a parallelogram assignment

Proving a Quadrilateral Is a Parallelogram - Assignment. 9 terms. diamondstarkes634. ... all theorems prove that quadrilaterals are parallelograms, BUT IT MUST BE SHOWN.

Proving a quadrilateral is a parallelogram assignment. State the theorem you can use to show that the quadrilateral is a parallelogram. 3. 30 m 30 m 4. 5 in. 5 in. 7 in. 7 in. 5. 115° 65 115° 65° 6. For what value of x is quadrilateral MNPQ a parallelogram? Explain your reasoning. Q M N P 2x 10 − 3x Ways to Prove a Quadrilateral Is a Parallelogram 1. Show that both pairs of opposite sides are ...

This self-grading digital assignment provides students with practice applying theorems associated with parallelograms, including:If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram.If both pairs of opposite angles ...

Q-Chat. Study with Quizlet and memorize flashcards containing terms like If both pairs of opposite sides of a quadrilateral are parallel, then it is a parallelogram, both pairs of opposite sides of a quadrilateral are congruent, One pair of opposite sides of a quadrilateral are both parallel and congruent and more.Area = base x height. Here are the steps to finding the area of a parallelogram: Identify the base and height of the parallelogram. Multiply the base and height together. The …Trapezoid. a quadrilateral with at least one pair of parallel sides. square. a rectangle with all sides equal and four right angles. Rhombus. a parallelogram with all sides equal. which of the following reasons would complete the proof in line 6? if a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram ...If the measure of two consecutive angles in a quadrilateral is 91 and 91 degrees, is this a parallelogram? No, 91 + 91 = 182 so the angles are not supplementary. For a parallelogram with opposite sides given by 4r + 7 and 7r - 1 find the value of the given sides. The sides length is 15. For a parallelogram with opposite sides given by s + 5 and ...Proving that a Quadrilateral is a Parallelogram Math Quiz. Reverse of the definition. Click the card to flip 👆. If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. Click the card to flip 👆.each other, then the quadrilateral is a rhombus. Proving That a Quadrilateral Is a Rhombus To prove that quadrilateral KMOJ is a rhombus, you may first show that it is a parallelogram and then apply either of the following methods. 1 If a parallelogram contains a pair of consecutive sides that areDo you want to practice solving problems involving quadrilaterals on the coordinate plane? Khan Academy offers you a series of examples and exercises to help you master this topic. You will learn how to identify, classify, and draw different types of quadrilaterals, such as rectangles, parallelograms, and trapezoids, using coordinates and formulas. You will …The opposite angles of a P-gram are congruent. Parallelogram Diagonal Theorem (PDT) The diagonals bisect each other in a P-gram. Parallel Lines Transversal Theorem (PLTT) If three or more transversals cut off one transversal, then the segments are congruent. Study with Quizlet and memorize flashcards containing terms like Converse of ...

State the property or definition (if there is one) that proves that the figure is a parallelogram. Cannot be proved to be a parallelogram! The most descriptive name you could give this quadrilateral is “isosceles trapezoid.”. U A Both pairs of opposite sides are parallel. Q D Both pairs of opposite sides are congruent.Do you want to practice solving problems involving quadrilaterals on the coordinate plane? Khan Academy offers you a series of examples and exercises to help you master this topic. You will learn how to identify, classify, and draw different types of quadrilaterals, such as rectangles, parallelograms, and trapezoids, using coordinates and formulas. You will …A quadrilateral is a parallelogram IFF both pairs of its opposite angles are congruent. Theorem: If a quadrilateral is a parallelogram, then its consecutive angles are supplementary. Theorem: A quadrilateral is a parallelogram IFF the diagonals bisect each other. Theorem: If one pair of oppos ite sides of a quadrilateral is congruent and …A parallelogram is a geometric figure with opposite sides parallel and equal in length. In the picture below notice that when two parallel lines intersect two other parallel lines, a parallelogram is formed, or many, as in the case here. A parallelogram is a specific type of quadrilateral (a four-sided figure). Study with Quizlet and memorize flashcards containing terms like List the following methods that COULD(Might) Be used to prove a quadrilateral is a parallelogram., Show examples when you prove a quadrilateral is a parallelogram with the below method: If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. (reverse definition), Show examples ... "Glencoe Geometry - Lesson 9-1: Circles and Circumference, Lesson 9-2: Measuring Angles and Arcs, Lesson 9-3: Arcs and Chords, Lesson 9-4: Inscribed Angles, and Lesson 9-5: Tangents: Key Concept Boxes"assignment 25. Parallelograms: Rhombus. 17 terms. taylorg438. Preview. Angles. Teacher 10 terms. katelynn_anderson54. Preview. Topics 2-2.6. 84 terms. czgonz. ... If two sides of a quadrilateral are equal and parallel, then the quadrilateral is a parallelogram. Theorem 4-18. If the diagonals of a quadrilateral bisect each other, ...

Rating Action: Moody's assigns provisional ratings to Nelnet Student Loan Trust 2021-DRead the full article at Moody's Indices Commodities Currencies StocksTo show that a quadrilateral is a parallelogram in the x − y plane, you will need to use a combination of the slope formulas, the distance formula and the midpoint formula. For example, to use the Definition of a Parallelogram, you would need to find the slope of all four sides to see if the opposite sides are parallel.6-3 Practice Proving That A Quadrilateral Is A Parallelogram Form K One pair of opposite sides are congruent AND parallel. A tip from Math Bits says, if we can show that one set of opposite sides are both parallel and congruent, which in turn indicates that the polygon is a parallelogram, this will save time when working a proof.Proving a Quadrilateral is a Parallelogram. 1. Multiple Choice. State which method we can use to show that the quadrilateral is a parallelogram. Both pairs of opposite angles are congruent. Both pairs of opposite sides are congruent. Both pairs of diagonals bisect each other. Both pairs of opposite sides are parallel.

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Which "F" does your food come from: factory or farm? Right now, we're all about "farm" to prove that eating whole foods can be healthy and delicious. Eating whole foods is simple: ...manojselvan. The document contains several theorems about the properties of parallelograms: if a quadrilateral has both pairs of opposite sides congruent, opposite angles congruent, or an angle supplementary to its consecutive angles, then it is a parallelogram. It also proves that if the diagonals of a quadrilateral bisect each other …one pair of opposite sides are congruent and parallel. diagonals bisect eachother. One angle is supplementary to both consecutive angles. two pairs of opposite angles are congruent. 6-4 Proving a Quadrilateral is a Parallelogram. Click the card to flip 👆. two pairs of opposite sides are congruent. Click the card to flip 👆.

This video provides the student with a walkthrough on proving that a quadrilateral is a parallelogram. Click Create Assignment to assign this modality to your LMS. We have a new and improved read on this topic.6-3 Proving That a Quadrilateral is a Parallelogram. Share. Theorem 6-8. Click the card to flip 👆. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Click the card to flip 👆.May 21, 2013 · By the definition of a parallelogram, opposite sides are parallel, so the trays of the sewing box are always parallel. Ex. 2: Proving Quadrilaterals are Parallelograms. Another Theorem ~ • Theorem 6.10—If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. To prove a parallelogram is a square, we need to show either one of the following: It is a rhombus (all four sides of equal length) with interior angles equal to \(90°\). It is a rectangle (interior angles equal to \(90°\)). Trapezium (EMA64) Trapezium. A trapezium is a quadrilateral with one pair of opposite sides parallel.A parallelogram is a quadrilateral that has 2 pairs of parallel sides. In these worksheets, students identify which shapes are parallelograms. With hints: Worksheet #1. No hints: Worksheet #2. Draw & describe: Worksheet #3. Similar:Read It Feels So Wrong To Bite People Chapter 1 In English Online Free — 6-3 Practice Proving That A Quadrilateral Is A Parallelogram Worksheet. Regardless of it's flaws, it's definitely a SUPERnatural fun ride. Please find her, soon ... 6-3 practice proving that a quadrilateral is a parallelogram find; It Feels So Wrong To Bite People ...In this lesson we go through properties of parallelograms and prove theorems relating to determining whether a given quadrilateral is a parallelogram. We go ...This video provides the student with a walkthrough of one or more examples from the concept "Proving a Quadrilateral is a Parallelogram". Click Create Assignment to assign this modality to your LMS.N L O M. (Sample answer) You can prove that a quadrilateral is a parallelogram if any of these conditions apply: both pairs of opposite angles are congruent, both pairs of opposite sides are congruent, the diagonals bisect each other, or one pair of opposite sides is both parallel and congruent.2. Which of the following is NOT a way to prove a quadrilateral is a parallelogram? Choose: Show both sets of opposite angles of the quadrilateral are congruent. Show the diagonals of the quadrilateral bisect each other. Show one set of opposite sides of the quadrilateral is both congruent and parallel. Show one set of opposite sides of the ...

Test your knowledge of proving quadrilaterals are parallelograms with Quizlet flashcards. Learn theorems, definitions and proofs with examples.

Proving a Quadrilateral Is a Parallelogram - Assignment. ... Proving a Quadrilateral Is a Parallelogram Assignment. 9 terms. HaileyC771. Preview. TEAS 7 Volume ...$\begingroup$ @dxiv thank you for your interest in my question; to prove that, it seems to me, I should start by noting the figure in the center is a rectangle and then prove that the two triangles to the sides of the rectangle are congruent: the two triangles have and equal side (to side of the rectangle) and an equal angle (the 90° one) but I …Study with Quizlet and memorize flashcards containing terms like Theorem 7.7 = Parallelogram Opposite Sides Converse, Theorem 7.8 = Parallelogram Opposite Angles Converse, Theorem 7.9 = Opposite Sides Parallel and Congruent Theorem and more.To prove that a quadrilateral is a parallelogram, we need to show that both pairs of opposite sides are parallel. There are a few different ways to prove that a quadrilateral is a parallelogram. Here, I will describe two common methods: using parallel lines and using congruent opposite angles.With few exceptions, most mental health clinic managers have encountered the patient or parents of a patient w With few exceptions, most mental health clinic managers have encounte...Tip: To get a feel for why this proof method works, take two toothpicks and two pens or pencils of the same length and put them all together tip-to-tip; create a closed figure, with the toothpicks opposite each other. The only shape you can make is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then it’s a ...If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If AB CD and BC DA, then ABCD is a parallelogram. B.To prove that a quadrilateral is a parallelogram, we need to show that both pairs of opposite sides are parallel. There are a few different ways to prove that a quadrilateral is a parallelogram. Here, I will describe two common methods: using parallel lines and using congruent opposite angles.Proving a Quadrilateral Is a Parallelogram. 10 terms. brookewhealdon01. Preview. ... Geometry- [2B]: Special Parallelograms Assignment. 9 terms. WELCOME_TO_THE_CHAOS ...

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assignment 25. Parallelograms: Rhombus. 17 terms. taylorg438. Preview. Angles. Teacher 10 terms. katelynn_anderson54. Preview. Topics 2-2.6. 84 terms. czgonz. ... If two sides of a quadrilateral are equal and parallel, then the quadrilateral is a parallelogram. Theorem 4-18. If the diagonals of a quadrilateral bisect each other, ...There are 5 basic ways to prove a quadrilateral is a parallelogram. They are as follows: Proving opposite sides are congruent. Proving opposite sides are parallel. Proving the quadrilateral’s diagonals bisect each other. Proving opposite angles are congruent. Proving consecutive angles are supplementary (adding to 180°)Reading Assignment: student notes section 7-2. Chapter 7: Quadrilaterals and Other Polygons Geometry Student Notes 5 ... Section 7-3: Proving a Quadrilateral is a Parallelogram SOL: G.9 Objective: Identify and verify parallelograms Show that a quadrilateral is a parallelogram in the coordinate planeYou can classify shapes based on their properties. Properties are qualities that a shape has.. Examples of shape properties are: number of sides; length of sides; number of angles (corners)Feb 24, 2012 · Prove a quadrilateral is a parallelogram. Click Create Assignment to assign this modality to your LMS. We have a new and improved read on this topic. Is the quadrilateral a parallelogram? Justify your answer. c. Repeat parts (a) and (b) for several other quadrilaterals. Then write a conjecture based on your results. d. Write the converse of your conjecture. Is the converse true? Explain. Proving That a Quadrilateral Is a Parallelogram Work with a partner. Use dynamic geometry software. a. Competency: Identifies that quadrilaterals are parallelogram Ways of proving that a quadrilateral is a parallelogram About the Lesson Objectives: At the end of a 1 hour lesson, the students must be able to: identify the theorems and postulates on how to prove that quadrilaterals are parallelogram; prove that a diagonal divides a parallelogram …The given information proves that HELP is a parallelogram., A. 7 B. 8 C. 10 D. 14, A. p = 18, q = 13 B. p = 13, q = 8 C. p = 8, q = 18 D. p = 13, q = 18 and more. hello quizlet Homewe make based on whether we are given that a certain quadrilateral is a parallelogram, or if we want to prove that the quadrilateral is a parallelogram. Let’s take a look at these statements so that we understand how to use them properly in our proofs. Given a ParallelogramProving that a Quadrilateral is a Parallelogram.pptx. May 4, 2022 • Download as PPTX, PDF •. 0 likes • 142 views. M. MartinGeraldine. powerpoint. Education. Download now. Proving that a Quadrilateral is a Parallelogram.pptx - Download as a PDF or view online for free.How to frame the conversation so it won't ruin their opinion of you. No matter how hard you try to manage your time, you will probably end up being late on an assignment at some po...There are a few different ways to prove that a quadrilateral is a parallelogram. Here, I will describe two common methods: using parallel lines and using congruent opposite … ….

Which of the following conditions is a quadrilateral proves it is a parallelogram? A. One pair of opposite sides are congruent. B. One angle is supplementary to both consecutive angles.This video provides the student with a walkthrough on proving that a quadrilateral is a parallelogram. Click Create Assignment to assign this modality to your LMS. We have a new and improved read on this topic.Parallelogram ANDR with AW and DE bisecting NWD and REA at points W and E (Given). AN ≅RD, AR ≅DN (Opposite sides of a parallelogram are congruent). AE = 1 2 AR, WD = 1 2 DN, so AE ≅WD (Definition of bisect and division property of equality). AR DN (Opposite sides of a parallelogram are parallel). AWDE is a parallelogram (Definition of ...Definition: A parallelogram is a type of quadrilateral whose pairs of opposite. sides are parallel. If a quadrilateral is a parallelogram, then… Much of the information above was studied in the previous section. The …Read It Feels So Wrong To Bite People Chapter 1 In English Online Free — 6-3 Practice Proving That A Quadrilateral Is A Parallelogram Worksheet. Regardless of it's flaws, it's definitely a SUPERnatural fun ride. Please find her, soon ... 6-3 practice proving that a quadrilateral is a parallelogram find; It Feels So Wrong To Bite People ...A collateral assignment refers to the transfer of ownership rights of an asset. When you borrow money, or when someone spends money on your behalf, often they will require you to p...By the definition of a parallelogram, opposite sides are parallel, so the trays of the sewing box are always parallel. Ex. 2: Proving Quadrilaterals are Parallelograms. Another Theorem ~ • Theorem 6.10—If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram.Competency: Identifies that quadrilaterals are parallelogram Ways of proving that a quadrilateral is a parallelogram About the Lesson Objectives: At the end of a 1 hour lesson, the students must be able to: identify the theorems and postulates on how to prove that quadrilaterals are parallelogram; prove that a diagonal divides a parallelogram …Jan 21, 2020 · Exclusive Content for Member’s Only. 00:09:14 – Decide if you are given enough information to prove that the quadrilateral is a parallelogram. (Examples #7-13) 00:15:24 – Find the value of x in the parallelogram. (Examples #14-15) 00:18:36 – Complete the two-column proof. (Examples #16-17) Proving a quadrilateral is a parallelogram assignment, Proving a Quadrilateral Is a Parallelogram - Assignment. 9 terms. diamondstarkes634. Preview. ... Which concept is used to prove that the opposite sides of a ..., This self-grading digital assignment provides students with practice applying theorems associated with parallelograms, including: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral ..., Learn how to prove a quadrilateral is a parallelogram with flashcards covering angles, sides, and properties. Test your knowledge with Quizlet., CK-12 Foundation. 29.9K subscribers. Subscribed. 168. 31K views 10 years ago CK-12 Basic Geometry Concepts. Discover more at www.ck12.org: …, Proving a Quadrilateral Is a Parallelogram - Assignment. 9 terms. diamondstarkes634. Preview. Proving a Quadrilateral Is a Parallelogram Assignment. 9 terms. HaileyC771. Preview. TEAS 7 Volume Formulas. 14 terms. NicoleCardenas727. Preview. Shapes and sizes. Teacher 30 terms. aurorafloraison. Preview. Proving a Quadrilateral Is a …, About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ..., Attorney For Car Title Problems / Proving A Quadrilateral Is A Parallelogram - Assignment Flashcards. February 3, 2024 Do yourself and the next person buying the car a favor and take care of this before attempting to sell. ... 6-3 practice proving that a quadrilateral is a parallelogram are congruent;, State the theorem you can use to show that the quadrilateral is a parallelogram. 3. 30 m 30 m 4. 5 in. 5 in. 7 in. 7 in. 5. 115° 65 115° 65° 6. For what value of x is quadrilateral MNPQ a parallelogram? Explain your reasoning. Q M N P 2x 10 − 3x Ways to Prove a Quadrilateral Is a Parallelogram 1. Show that both pairs of opposite sides are ... , In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram? , $\begingroup$ @dxiv thank you for your interest in my question; to prove that, it seems to me, I should start by noting the figure in the center is a rectangle and then prove that the two triangles to the sides of the rectangle are congruent: the two triangles have and equal side (to side of the rectangle) and an equal angle (the 90° one) but I can't see a third equal element to prove congruence., 5. Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification. Yes, both pairs of opposite sides are congruent. Study with Quizlet and memorize flashcards containing terms like Complete the statement: A polygon with all sides the same length is said to be ..., Given: quadrilateral MNOL with MN ≅ LO and ML ≅ NO. 3 Prove a quadrilateral is a parallelogram Independent Practice Ch. In addition, we may determine that both pairs of opposite sides are parallel, and once again, we have shown the quadrilateral to be a parallelogram., Feb 24, 2012 · Prove a quadrilateral is a parallelogram. Click Create Assignment to assign this modality to your LMS. We have a new and improved read on this topic. , About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ..., assignment 25. Parallelograms: Rhombus. 17 terms. taylorg438. Preview. Angles. Teacher 10 terms. katelynn_anderson54. Preview. Topics 2-2.6. 84 terms. czgonz. ... If two sides of a quadrilateral are equal and parallel, then the quadrilateral is a parallelogram. Theorem 4-18. If the diagonals of a quadrilateral bisect each other, ..., because if one pair of opposite sides of a quadrilateral are both congruent and parallel, the quadrilateral is a parallelogram. AE ≅ CE because the diagonals of a parallelogram bisect each other., Try Magic Notes and save time Crush your year with the magic of personalized studying. Try it free, Proving a Quadrilateral Is a Parallelogram - Assignment. 9 terms. diamondstarkes634. Preview. Parallelograms Assignment and Quiz. 19 terms. Taelor_Morton. Preview. ... Geometry- [2B]: Special Parallelograms Assignment. 9 terms. WELCOME_TO_THE_CHAOS. Preview. parts of a circle geometry . 13 terms. …, Proving a Quadrilateral Is a Parallelogram. 10 terms. brookewhealdon01. Preview. ... Geometry- [2B]: Special Parallelograms Assignment. 9 terms. WELCOME_TO_THE_CHAOS ..., Proving Quadrilateral is a parallelogram (Different Theorem) Deleted for CBSE Board 2024 Exams. Previous topics →. Chapter 8 Class 9 ..., Answers: 1 on a question: Proving a Quadrilateral Is a Parallelogram Assignment Active Determining Whether a Figure Is a Parallelogram could the Sgure be a 10 in Based on the measures show parallelogram? (x + 5) in Yes, one pair of opposite sides could measure 10 in, and the other pair could measure 13 in (2x-3) in Yes, one pair of opposite sides could …, Prove that the quadrilateral is a parallelogram. Step 1: Plot the given points on a coordinate plane. Plot the quadrilateral on a coordinate plane. Step 2: Find the length of the opposite sides ..., There are five ways to prove that a quadrilateral is a parallelogram: Prove that both pairs of opposite sides are congruent. Prove that both pairs of opposite sides are parallel., Criteria proving a quadrilateral is parallelogram. 1) If a quadrilateral has one pair of sides that are both parallel and congruent. 2) If all opposite sides of the quadrilateral are congruent. 3) Both pairs of opposite sides are parallel. 4) Opposite angles are congruent. 5) Diagonals bisect., Draw a picture of each quadrilateral, to determine if it is a parallelogram by one of the following reasons. Be able to explain your selection. Opposite sides congruent. Opposite angles congruent. Diagonals bisect each other. One pair of opposite sides is both parallel and congruent. Both pairs of opposite sides are parallel. 22) In ..., Proving a Quadrilateral Is a Parallelogram - Assignment. 9 terms. diamondstarkes634. Preview. Parallelograms Assignment and Quiz. 19 terms. Taelor_Morton. Preview. ... Geometry- [2B]: Special Parallelograms Assignment. 9 terms. WELCOME_TO_THE_CHAOS. Preview. parts of a circle geometry . 13 terms. …, 3 years ago. 1.Both pairs of opposite sides are parallel. 2.Both pairs of opposite sides are congruent. 3.Both pairs of opposite angles are congruent. 4.Diagonals bisect each other. 5.One angle is supplementary to both consecutive angles (same-side interior) 6.One pair of opposite sides are congruent AND parallel. , The Square. the little squares in each corner mean "right angle". A square has equal sides (marked "s") and every angle is a right angle (90°) Also opposite sides are parallel. A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length)., What are the ways to prove a quadrilateral is a parallelogram? 1. Show both pairs of opposite sides are parallel. 2. Show that both pairs of opposite sides are congruent. 3. Show that both pairs of opposite angles are congruent. 4. Show that one pair of opposite sides are parallel and congruent., Proving a Quadrilateral Is a Parallelogram - Assignment. 9 terms. diamondstarkes634. Preview. Proving a Quadrilateral Is a Parallelogram Assignment. 9 terms. HaileyC771. Preview. TEAS 7 Volume Formulas. 14 terms. NicoleCardenas727. Preview. Shapes and sizes. Teacher 30 terms. aurorafloraison. Preview. Proving a Quadrilateral Is a …, Answers: 1 on a question: Proving a Quadrilateral Is a Parallelogram Assignment Active Determining Whether a Figure Is a Parallelogram could the Sgure be a 10 in Based on the measures show parallelogram? (x + 5) in Yes, one pair of opposite sides could measure 10 in, and the other pair could measure 13 in (2x-3) in Yes, one pair of opposite sides could …, This self-grading digital assignment provides students with practice applying theorems associated with parallelograms, including: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral ... , This self-grading digital assignment provides students with practice applying theorems associated with parallelograms, including:If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram.If both pairs of opposite angles ...