Question

Given: MAH and HTM are right angles
ΜΑ congruent to ΤΗ

Prove: AMAH = AHTM H​

Answer 1

To prove that AMAH = AHTM, we need to show that the two triangles are congruent using the SAS congruence theorem.

Step-by-step explanation:

To prove that AMAH = AHTM, we need to show that the two triangles are congruent. Given that MAH and HTM are right angles and MA is congruent to HT, we can use the SAS congruence theorem to prove their congruence.

1. First, we have the common side AM = AT.
2. Next, we have the right angles MAH = HTM.
3. Finally, we have MA = HT.

By showing that these two triangles have the same corresponding sides and angles, we can conclude that AMAH is congruent to AHTM. Therefore, AMAH = AHTM.