D) The opposite angles of the parallelogram are congruent. A parallelogram is a flat shape with four straight, connected sides so that opposite sides are congruent and parallel. ? Yes; opposite sides are congruent. Be sure to create and name the appropriate geometric figures. Step-by … Be sure to create and name the appropriate geometric figures. Which statement can be used to prove that a given parallelogram is a rectangle? If one angle is right, then all angles are right. Prove that both pairs of opposite sides are congruent. Prove that one pair of opposite sides is both congruent and parallel. b. Opposite angels are congruent (D = B). Each diagonal of a parallelogram separates it into two congruent … 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. Let’s play with the simulation given below to better understand a parallelogram and its properties. 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 … Try to move the vertices A, B, and D and observe how the figure changes. Write a proof to show that opposite sides of a parallelogram are congruent. (Recall that a parallelogram is a four-sided figure in which both pairs of opposite sides are p… Strategy: how to prove that opposite sides of a parallelogram are equal. Prove that the opposite sides of a parallelogram are congruent. 3) In a parallelogram, opposite angles are equal. B) The diagonals of the parallelogram are congruent. The opposite sides are equal and parallel; the opposite angles are also equal. 2) If each pair of opposite sides of a quadrilateral is equal then it is a parallelogram. A) The opposite sides of the parallelogram are congruent. (10 The diagonals of a parallelogram bisect each other. Math III Unit 7-4 Theorems about Parallelograms Notes Name: _____ 1. Prove that the diagonals bisect each other. 1) In a parallelogram, opposite sides are equal. This means a parallelogram is a plane figure, a closed shape, and a quadrilateral. Prove that both pairs of opposite sides are parallel. diagram: its a parallelogram, opposite sides and angles are congruent. Observe that at any time, the opposite sides … c. No; you cannot prove that the quadrilateral is a parallelogram. 4) If in a quadrilateral, each pair of opposite angles is equal then it is a parallelogram. Yes; opposite angles are congruent. Opposite sides are congruent (AB = DC). To prove a quadrilateral is a parallelogram, you must use one of these five ways. 5) The diagonals of a parallelogram … View Untitled document (3).pdf from MATH 100 at Basha High School. C) The diagonals of the parallelogram bisect the angles. 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