Question

Determine if the statement was gathered from the hypothesis, conclusion, or the diagram.

Given: QS−→ bisects ∠PQR.
Prove: ∠1 and ∠2 are supplementary.

Statement: ∠1≅∠3.

A. This information was gathered from the hypothesis.
B. This information was gathered from the conclusion.
C. This information was gathered from the diagram.
D. This information cannot be gathered from the hypothesis, conclusion, or the diagram.

Answer 1

The statement where ∠1 is congruent to ∠3 is false. Therefore the answer is that this information cannot be gathered from the hypothesis, conclusion, or the diagram. Letter D. This is because, the measure of ∠1 has a larger value compared to the measure of ∠3. Also, ∠1 is a supplement to ∠2 and knowing that ∠1 is greater than 90°, ∠3 is lesser than 90°