Question

Given the above, which method would you use to prove AEC ≅ BED?

Answer 1

A. AAS
B. SSS
C. SAS
D. ASA

Answer 2

You need more information than just the diagram. Please check the question

Answer 3

nope thats it all the information

Answer 4

ce=de

Answer 5

Then it could be any of the four choices, since insufficient information is given.

Answer 6

K -_-

Answer 7

@magbak

Answer 8

@yahya90 how did you get the information?

Answer 9

@Jameela_leonard what does "given the above" refer to?

Answer 10

the diagram obviously

Answer 11

It does not even say what is required.
Are the two congruence of the two triangles given, or are we to prove congruence?

Answer 12

Yes theyre congruent

Answer 13

In that case what can you say about angles BCD and ACD?

Answer 14

idk

Answer 15

...given that triangles ACD and BCD are congruent?

Answer 16

that theyre congruent

Answer 17

Remember that to prove two triangles congruent, we need at least three congruent items, be they angles or sides.
How many congruent items have your found so far between triangles AEC and BED?

Answer 18

so its d

Answer 19

??????????????

Answer 20

d could be correct if you can justify it.
Which are the angles and the sides that are congruent?

Answer 21

Here's the deal:
Since angles BCD and ADC are equal (congruence of triangles)
then EC=ED ... 1st congruence item.
Since AD=BC (congruence of triangles)
we subtract congruence segments ED and EC to get
AE = BE (second congruence item)
Also, angles AEC and BED are congruent (vertically opposite angles), that supplies the third congruent item, which completes the proof of congruence of triangles ACE and BDE.
Now it's up to you to choose the choices.