Respuesta :

Answer:

D. T = Q

Step-by-step explanation:

A congruence statement tells us which pieces of one triangle correspond to the other.

This tells us that R corresponds to N; S corresponds to P; and T corresponds to Q.  This means that T = Q.

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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