Question

If ΔCAT≅ΔDOG, which statement must be true?

Answer 1

Answer:

m∠A = m∠O ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the problem

- When two triangles are congruent then:

# Their corresponding sides are equal

# Their corresponding angles are equal

# Their areas are equal

- Ex: If Δ XYZ ≅ Δ LMN

∴ XY = LM , YZ = MN , XZ = LN

∴ m∠X = m∠L , m∠Y = m∠M , m∠Z = m∠N

∴ P of Δ XYZ = P of Δ LMN

∴ A of Δ XYZ = A of Δ LMN

* Lets solve the problem

∵ Δ CAT ≅ Δ DOG

∴ CA = DO , AT = OG , CT = DG

∴ m∠C = m∠D , m∠A = m∠O , m∠T = m∠G

* Look to the answer to chose the right answer

- The right answer is answer A

∴ m∠A = m∠O