Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN: 9781133382119

Author: Swokowski

Publisher: Cengage

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Which one will help prove the 6th step?

Transcribed Image Text:solve/12993350/quadProofsOneMissingStep Fill in the missing statement and reason of the proof below. Given: ABCD is a rhombus and AE BE. Prove: ABCD is a square. Step Statement Reason ABCD is a rhombus Given AE BE AC and BD bisect each other The diagonals of a rhombus bisect each other When a segment is bisected, the whole segment is twice the length of each part 3 AC = 2AE 4 Type of Statement AC BD Segments that are twice the lengths of congruent segments are congruent ABCD is a square because it is a rhombus with congruent diagonals ABCD is a square E C Note: AC and BD are segments. You must answer all questions above in order to submit. attempt i out of 2 Privacy Policy Terms of Service

Transcribed Image Text:Step Statement Reason ABCD is a rhombus Given 1 AE BE AC and BD bisect each other The diagonals of a rhombus bisect each othe When a segment is bisected, the whole segm of each part AC = 2AE 4 Type of Statement XY WZ Segments that are twice the lengths of congri congruent ZX ZY ABCD is a square because it is a rhombus u 6. diagonals ΔΧΥΖ -ΔΤUV XY WZ D XY 1WZ Classify a triangle Classify a quadrilateral ZX and ZY are complementary/supplementary ZX is a right angle XY bisects ZX XY bisects W Z XY WZ (or 2W Z) %3D AC and BD are segments. mZX = mZY (or 2mZY) %3D You must answer all questions above in order to submit.

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