Question

If Δ C A T ≅ Δ D O G, which statement must be true?


A. m ∠ A = m ∠ O
B. m ∠ C = m ∠ G
C. CA = OG
D. ¯¯¯¯¯¯ C T ≅ ¯¯¯¯¯¯ D O

Answer 1

Answer:

A. m∠A = m∠O

Step-by-step explanation:

$\triangle CAT\cong\triangle DOG\\\\\text{Therefore:}\\\\\angle C\cong\angle D\\\angle A\cong\angle O\\\angle T\cong\angle G\\CA\cong DO\\CT\cong DG\\AT\cong OG$

Answer 2

Answer:  $\angle{A}\cong\angle{O}$

Step-by-step explanation:

Given : $\triangle{CAT}\cong\triangle{DOG}$

We know that when two triangles are congruent then their corresponding sides and angles area also congruent.

So , if $\triangle{CAT}\cong\triangle{DOG}$

Then,

$\angle{C}\cong\angle{D}\\\angle{A}\cong\angle{O}\\\angle{T}\cong\angle{G}$

And

$\overline{CA}\cong\overline{DO}\\\\\overline{AT}\cong \overline{DO}\\\\\overline{CT}\cong \overline{DG}$

Hence, from the given options the true statement is $\angle{A}\cong\angle{O}$