This means a parallelogram is a plane figure, a closed shape, and a quadrilateral. A) The opposite sides of the parallelogram are congruent. 4) If in a quadrilateral, each pair of opposite angles is equal then it is a parallelogram. 3) In a parallelogram, opposite angles are equal. Let’s play with the simulation given below to better understand a parallelogram and its properties. Step-by … This Lesson (Proof of Opposite sides of a parallelogram are equal) was created by by chillaks(0) : View Source, Show About chillaks : am a freelancer In this lesson we will prove the basic property of a parallelogram that the opposite sides in a parallelogram are equal. Prove that the opposite sides of a parallelogram are congruent. View Untitled document (3).pdf from MATH 100 at Basha High School. The diagonals of a parallelogram bisect each other. Prove that one pair of opposite sides is both congruent and parallel. Opposite sides are congruent (AB = DC). B) The diagonals of the parallelogram are congruent. Once again, since we are trying to show line segments are equal, we will use congruent triangles.Let's draw triangles, where the line segments that we want to show are equal, represent corresponding sides. a. C) The diagonals of the parallelogram bisect the angles. 1) In a parallelogram, opposite sides are equal. Prove that the diagonals bisect each other. Opposite angels are congruent (D = B). d. Yes; two opposite sides are both parallel and congruent. Be sure to create and name the appropriate geometric figures. Try to move the vertices A, B, and D and observe how the figure changes. Yes; opposite angles are congruent. (Recall that a parallelogram is a four-sided figure in which both pairs of opposite sides are p… Yes; opposite sides are congruent. 5) The diagonals of a parallelogram … The opposite sides are equal and parallel; the opposite angles are also equal. parallelogram, because opposite sides are congruent and adjacent sides are not perpendicular Which statement explains how you could use coordinate geometry to prove the diagonals of … To prove a quadrilateral is a parallelogram, you must use one of these five ways. Consecutive angles are supplementary (A + D = 180°). Prove opposite sides of parallelograms are congruent. Parallelogram Sides; Parallelogram Angles; How To Prove A Parallelogram; Parallelogram Definition. Math III Unit 7-4 Theorems about Parallelograms Notes Name: _____ 1. ? Each diagonal of a parallelogram separates it into two congruent … diagram: its a parallelogram, opposite sides and angles are congruent. Which statement can be used to prove that a given parallelogram is a rectangle? c. No; you cannot prove that the quadrilateral is a parallelogram. Prove that both pairs of opposite sides are congruent. Be sure to create and name the appropriate geometric figures. Prove that opposite sides of a parallelogram are congruent. If one angle is right, then all angles are right. Write a proof to show that opposite sides of a parallelogram are congruent. Prove that both pairs of opposite sides are parallel. A parallelogram is a flat shape with four straight, connected sides so that opposite sides are congruent and parallel. D) The opposite angles of the parallelogram are congruent. 2) If each pair of opposite sides of a quadrilateral is equal then it is a parallelogram. Strategy: how to prove that opposite sides of a parallelogram are equal. b. (10 Observe that at any time, the opposite sides … Better understand a parallelogram … a No ; you can not prove that opposite sides … parallelogram ;. 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