Question

Which theorem would you use to prove that triangle ABE is similar to triangle DCE?

a. ASA Similarity
b. SSS Similarity
c. AA Similarity
d. SAS Similarity

Wait as I draw the problem.

Answer 1

Do you know anything about the lengths of the sides of these triangles? In other words, do you know if any side of one triangle is congruent to a side of the other triangle?

Answer 2

Yes they're congruent.

Answer 3

The sides are congruent? Which sides and how do you know that?

Answer 4

C and B and be cause they're similar triangles.

Answer 5

No, you can't say they are similar. You need to prove they are similar. For the time being, you still don't know the triangles are similar until you prove them similar. That is what this problem is asking you to do.

BTW, C and B are congrunet. You are correct, but they are angles not sides.

Answer 6

OK, you know angles B and C are congruent. That is good.
Are there any other angles that you can conclude are congruent?

Answer 7

Angle E?

Answer 8

Yes, angle AEB in the upper triangle is congruent to angle CED in the lower triangle because they are vertical angles. I marked them.

Now you have two angles in the upper triangle are congruent to two angles in the lower triangle. Now can you prove the two triangles are similar using one of your choices?

Answer 9

c. AA Similarity

Answer 10

Bingo! That's it!

Answer 11

Thank youu !!

Answer 12

You're welcome!