Question

Line CD is constructed by making arcs centered at point A and point B with the same compass width.

Which of the following equations is not necessarily true?
A. AD = DB
B. AE = EB
C. AB = CD
D. AC = CB

Answer 1

AE=CE

Explanation:

Answer 2

C. AB=CD not necessarily true

Explanation:

A.

AD = DB True because the width of the compass was the same and hence the radius was same for both centers A and B

B. AE=EB True

CD makes the perpendicular bisectors if arcs are made with compass of same width

C. AB=CD . There is no property which says that it is necessarily true

D. AC=CB True because the width of the compass was the same and hence the radius was same for both centers A and B