Question

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

Answer 1

Answer: ∠AMH ≅ ∠HTA

∠MHA ≅ ∠TAH

∠HAM ≅ ∠AHT

Explanation:

Given: ∆AMH ≅ ∆HTA

We know that if two triangles are congruent then by we apply the CPCTC property which says that the corresponding parts of congruent triangles are congruent.

Since, ∆AMH ≅ ∆HTA

⇒ The corresponding angles of ∆AMH and ∆HTA congruent.

⇒∠AMH is congruent to ∠HTA [ Keep order of letters same]

∠MHA is congruent to ∠TAH

∠HAM is congruent to ∠AHT

Answer 2

Corresponding sequences of the vertices define congruent angles:

∠AMH is congruent to ∠HTA
∠MHA is congruent to ∠TAH
∠HAM is congruent to ∠AHT