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