Consider parallelogram ABCD.BOARDAВSESENDARCHow can it be proven that the diagonals bisect each other? Dragtiles to the empty boxes to correctly complete each part of theproof.AB || DC because it isAB = DC because opposite sides of parallelograms arecongruent.ZBAC = ZDC A because they areangles.ZAEB = ZCED because they areangles.AAEB = ACED becauseBE = DE and AE = CE because correspondingparts of congruent triangles are congruent.So, AC bisects BD and BD bisects AC because of thedefinition of a segment bisector.AASASASASSSgivencorrespondingverticalalternate interioralternate exteriorsame-side interior

Consider parallelogram ABCD. A B E How can it be proven that the diagonals bisect each other? Drag tiles to the empty boxes to correctly complete each part of the proof. AB || DC because it is AB DC because opposite sides of parallelograms are congruent. ZBAC = ZDC A because they are angles. ZAEB 2 LCED because they are angles. AAEB ACED because BE = DE and AE CE because corresponding parts of congruent triangles are congruent. So, AC bisects BD and BD bisects AC because of the definition of a segment bisector. AAS ASA SAS SS given corresponding vertical alternate interior alternate exterior same-side interior

Consider parallelogram ABCD. A B E How can it be proven that the diagonals bisect each other? Drag tiles to the empty boxes to correctly complete each part of the proof. AB || DC because it is AB DC because opposite sides of parallelograms are congruent. ZBAC = ZDC A because they are angles. ZAEB 2 LCED because they are angles. AAEB ACED because BE = DE and AE CE because corresponding parts of congruent triangles are congruent. So, AC bisects BD and BD bisects AC because of the definition of a segment bisector. AAS ASA SAS SS given corresponding vertical alternate interior alternate exterior same-side interior

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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