Question

The problem features this image, the URL is below.

h t t p :/ / a s s e t s . o p e n s t u d y . c o m / u p d a t e s / a t t a c h m e n t s / 5 6 4 c 8 1 d b e 4 b 0 d 3 c 6 6 b 1 4 5 0 c f - j e w e l r y 0 2 - 1 4 4 7 8 5 5 1 0 9 5 6 7 - t r i 5 . p n g

a) congruent (my answer)
b) similar
c) neither

The description says: (please see image)
The image is 2 triangles BCA and DCE intersecting at C. Legs BA and DE are dashed. Angles ABC and CDE are equal. Angles BCA and DCE are equal. Legs BC and EC are equal.

Answer 1

The five cases of congruence of triangles are:
ASA
SAS
SSS
AAS and
RHS

If you can find which case this belongs, then the two triangles are congruent. If not, please post again for more information.