Answered

IDNLearn.com provides a user-friendly platform for finding answers to your questions. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.

this is stumping me. it's a geometry proof question, and i really need help! diagram and statements are attached in a picture.

This Is Stumping Me Its A Geometry Proof Question And I Really Need Help Diagram And Statements Are Attached In A Picture class=

Sagot :

Sohamidn
We know : 
To prove: AD = CD
AB = CB
angle BEA = angle BEC
BE = BE (common side)
So, by SAS criterion (Side-Angle-Side),
ΔBEA congruent to ΔBEC. 
By seeing the corresponding parts of the Congruent triangles, we observe:
AE = CE 
So, 
in triangles AED and CED,
ED = ED (common side)
AE = CE (given)
angle AED = angle CED 
So, by SAS criterion:
ΔAED is congruent to ΔCED.
Therefore, by observing the corresponding parts of congruent triangles,
we can say that: AD = CD.
We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.