Question

Given the regular polygon below, which of the following conditions is NOT sufficient for proving that triangles MCD and MAE are congruent?


Answer MA and MC are perpendicular to AE and CD, respectively.
MA and MC are apothems.
A and C are the midpoints of ER and DS, respectively.
MD = 2CD and DE = MC

Answer 1

Picture needed.

Answer 2

sorry there it is

Answer 3

Alright, just a moment.

Answer 4

All of this is assuming that M is a center of the polygon, I suppose.

Answer 5

Well, an apothem is the line from the center to the midpoint of a side, right? So the first thing I notice is that b and c are equivalent. If the lines are apothems, then a and c are midpoints, and similarly if a and c are midpoints, then the lines are apothems.

Answer 6

So we can eliminate b and c as choices.

Answer 7

Oh, hey! A is equivalent also. If the lines MA and MC are perpendicular, then they are also apothems. Kablam, sucka.

Answer 8

thank u