If ΔRST ΔNPQ, which of the following is true? (1 point) Responses
∠R =∠P ∠R =∠Q ∠T =∠P ∠T =∠Q
If ΔRST is congruent to ΔNPQ, then the corresponding angles are congruent. So, the correct response is ∠R =∠P and ∠T =∠Q.
only one is correct
If ΔRST is congruent to ΔNPQ, then the corresponding angles are congruent. Therefore, the correct response is ∠R =∠P.
If ΔRST is congruent to ΔNPQ, then the corresponding angles of the two triangles will be equal.
Therefore, the correct answer is: ∠R = ∠P.
To determine which of the given statements is true, we need to analyze the given information.
The notation "ΔRST" represents triangle RST, and "ΔNPQ" represents triangle NPQ. The symbol "Δ" denotes a triangle.
When it is stated that "ΔRST ΔNPQ," it means that triangle RST is congruent to triangle NPQ.
In congruent triangles, corresponding angles are equal. So, if ΔRST ΔNPQ, the corresponding angles of these triangles will be equal.
Looking at the given options:
1. ∠R = ∠P: This option suggests that angle R is equal to angle P. It is a valid possibility, as corresponding angles are equal in congruent triangles.
2. ∠R = ∠Q: This option suggests that angle R is equal to angle Q. While it is possible in some cases, it cannot be concluded solely based on the given information.
3. ∠T = ∠P: This option suggests that angle T is equal to angle P. It is a valid possibility, as corresponding angles are equal in congruent triangles.
4. ∠T = ∠Q: This option suggests that angle T is equal to angle Q. It cannot be concluded solely based on the given information.
Based on the given information that ΔRST ΔNPQ, the statement ∠R = ∠P and ∠T = ∠P is true because corresponding angles of congruent triangles are equal.