Question

in the diagram a quadrilateral a CBD, diagonal CD is the perpendicular bisector of diagonal a b. Which of the following congruence statements is not necessarily correct? A) AE is congruent to BEB)CE is congruent to DE C) AD is congruent to BDD) BC is congruent to AC

Answer 1

The right answer to your question is B)CE is congruent to DE

A) AE is congruent to BE This option is correct because the line CD divides the segment AB in exactly to segments that measure the same.

B)CE is congruent to DE Because of the picture we observe that it is a rombus so in this kind of figures a perpenticular line that crosses the segment, does not divide it in two small segment that have the same size.

C) AD is congruent to BD This option is correct, we can obswrva that both lines have the same length. This is also true for the definition of Rombus.

D) BC is congruent to AC​ This choice is also correct we can notice in the figure that both size measure the same. And also for the definition of Rombus.