If △RST ≅△NPQ, which of the following is true?
(1 point)
Responses
∠R≅∠Q
∠R≅∠Q
∠T≅∠Q
∠T≅∠Q
∠T≅∠P
∠T≅∠P
∠R∠≅∠P
wrong yet again!
∠T≅∠Q
My apologies for the mistake. You are correct, the correct answer is ∠T≅∠Q.
To determine which statement is true, we need to use the information given in the question.
If △RST is congruent to △NPQ (denoted as △RST ≅△NPQ), it means that the two triangles have equal sides and equal angles.
Based on congruence, we know that the corresponding angles between congruent triangles are also equal. Therefore, if △RST ≅△NPQ, we can conclude that:
∠R ≅ ∠N
∠S ≅ ∠P
∠T ≅ ∠Q
Now let's look at the answer choices:
∠R ≅ ∠Q: This statement is not necessarily true because there is no direct indication of equality between ∠R and ∠Q.
∠T ≅ ∠Q: This statement is true since we concluded that ∠T ≅ ∠Q based on the congruence of △RST and △NPQ.
∠T ≅ ∠P: This statement is not necessarily true because we have no direct information about ∠P.
∠R ∠ ≅ ∠P: This statement is not meaningful since it contains a typographical error.
Therefore, the correct statement is:
∠T ≅ ∠Q
The correct answer is:
∠T≅∠P