If ΔRST congruent to ΔNPQ, which of the following is true? A. ∠R congruent to ∠P B. ∠R congruent to ∠Q C. ∠T congruent to ∠P D. ∠T congruent to ∠Q

Step-by-step explanation:

The order of the expression for congruent shapes indicate the

corresponding vertices between the two shapes that are congruent.

The option which is true is D. T = Q.

Reasons:

The given statement is; ΔRST ≅ ΔNPQ

By Corresponding Parts of Congruent Triangle are Congruent, CPCTC, we

have; The sides on ΔRST are congruent to the corresponding sides of ΔNPQ

Therefore;

RS ≅ NP

RT ≅ NQ

ST ≅ PQ

By CPCTC, we have that the angles on ΔRST are congruent to the corresponding angles of ΔNPQ

Therefore;

∠R ≅ ∠N

∠S ≅ ∠P

∠T ≅ ∠Q

Which gives, by definition of congruency;

∠R = ∠N

∠S = ∠P

∠T = ∠Q

Therefore, the true statement is D. T = Q.

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