Place them in order Prove that segment AC bisects segment BD, and that segment BD bisects segment AC using the ASA theorem.I am going to prove that segment AC bisectssegment BD, and that segment BD bisects segmentAC using the Angle-Side-Angle TriangleCongruence Theorem.D,B2D2B1BD is a transversal of parallel lines AD and CB, so- angles ADX and CBX are alternate interior angles,and therefore congruent. By the same reasoning,angles BCX and DAX are congruent.Because ABCD is a parallelogram, I know thatsegments AD and CB are congruent (oppositesides of a parallelogram are congruent), and linesAD and CB are parallel. Because corresponding parts of congruent trianglesare congruent, segment BX is congruent tosegment DX, so AC bisects BD. By the samereasoning, segment AX is congruent to segmentCX, so BD bisects AC.Therefore, triangles AXD and CXB are congruentby the Angle-Side-Angle Triangle CongruenceTheorem.

Name: Place them in order Prove that segment AC bisects segment BD, and that
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Description: Place them in order Prove that segment AC bisects segment BD, and that segment BD bisects segment AC using the ASA theorem.I am going to prove that segment AC bisectssegment BD, and that segment BD bisects segmentAC using the Angle-Side-Angle Triangl

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Prove that segment AC bisects segment BD, and that segment BD bisects segment AC using the ASA theorem. I am going to prove that segment AC bisects segment BD, and that segment BD bisects segment AC using the Angle-Side-Angle Triangle Congruence Theorem. D, D2 B1 BD is a transversal of parallel lines AD and CB, so angles ADX and CBX are alternate interior angles, and therefore congruent. By the same reasoning, angles BCX and DAX are congruent. A2 Because ABCD is a parallelogram, I know that segments AD and CB are congruent (opposite sides of a parallelogram are congruent), and lines AD and CB are parallel.

Prove that segment AC bisects segment BD, and that segment BD bisects segment AC using the ASA theorem. I am going to prove that segment AC bisects segment BD, and that segment BD bisects segment AC using the Angle-Side-Angle Triangle Congruence Theorem. D, D2 B1 BD is a transversal of parallel lines AD and CB, so angles ADX and CBX are alternate interior angles, and therefore congruent. By the same reasoning, angles BCX and DAX are congruent. A2 Because ABCD is a parallelogram, I know that segments AD and CB are congruent (opposite sides of a parallelogram are congruent), and lines AD and CB are parallel.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.1: Early Definitions And Postulates

Problem 34E: Generalize your findings in Exercise 33. 33. Can you use the construction for the midpoint of a...

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