In the figure, ∆AMH ≅ ∆HTA by Side-Side-Side (SSS). Which angles are congruent by CPCTC?

https://dlap.gradpoint.com/Resz/~yUA6AAAAAAAOqWBsYMvk0A.apvz_thhwqYRjr2_CEtCXD/7234256,F26/Assets/questions/quiz/geometry/geocpctc/geocpctc-e-19.png

Question

In the figure, ∆AMH ≅ ∆HTA by Side-Side-Side (SSS). Which angles are congruent by CPCTC?

https://dlap.gradpoint.com/Resz/~yUA6AAAAAAAOqWBsYMvk0A.apvz_thhwqYRjr2_CEtCXD/7234256,F26/Assets/questions/quiz/geometry/geocpctc/geocpctc-e-19.png

eviant · Answer

@Shadow @563blackghost

eviant · Answer

∠HAM ≅ ∠AHT

∠TAM ≅ ∠HTA

∠MAH ≅ ∠TAH

∠AHT ≅ ∠MHT

Shadow · Answer

This is one where multiple bubbles can be chosen, right?

eviant · Answer

no, you can only pick one choice

Shadow · Answer

Mhm, which one are you thinking then

eviant · Answer

the first one?

Shadow · Answer

Good instincts, you're correct.

Shadow · Answer

The last two are easy to eliminate. You may think B works, but you can't assume that they are right angles just because they look like it :)