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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