If ΔRST ΔNPQ, which of the following is true? (1 point) Responses ∠R ∠P ∠ R Image with alt text: symbol ∠ P ∠R ∠Q ∠ R Image with alt text: symbol ∠ Q ∠T ∠P ∠ T Image with alt text: symbol ∠ P ∠T ∠Q
If ΔRST ΔNPQ, then it is true that:
∠R = ∠P
∠S = ∠Q
∠T = ∠N
If ΔRST ΔNPQ, it means that triangle RST is congruent to triangle NPQ.
When two triangles are congruent, it implies that the corresponding sides and angles of the triangles are equal in measure.
Therefore, the following statements would be true:
- ∠R ≅ ∠P (angle R is congruent to angle P)
- ∠S ≅ ∠Q (angle S is congruent to angle Q)
- ∠T ≅ ∠N (angle T is congruent to angle N)
So, out of the given options, the correct statement would be:
- ∠R ≅ ∠P
To determine which of the following statements is true, we need to compare the angles of ΔRST and ΔNPQ.
In triangle notation, ΔRST represents triangle RST, and ΔNPQ represents triangle NPQ.
To compare the angles, we look at the correspondence of the vertices. In this case, R corresponds to N, S corresponds to P, and T corresponds to Q.
So, out of the given options:
1. ∠R ∠P
We can observe that angle R in triangle RST corresponds to angle N in triangle NPQ. Therefore, ∠R ∠P is not true because R corresponds to N, not P.
2. ∠R ∠Q
We can observe that angle R in triangle RST corresponds to angle N in triangle NPQ. Therefore, ∠R ∠Q is not true because R corresponds to N, not Q.
3. ∠T ∠P
We can observe that angle T in triangle RST corresponds to angle Q in triangle NPQ. Therefore, ∠T ∠P is not true because T corresponds to Q, not P.
4. ∠T ∠Q
We can observe that angle T in triangle RST corresponds to angle Q in triangle NPQ. Therefore, ∠T ∠Q is true because T corresponds to Q.
Therefore, the correct statement is ∠T ∠Q.