Question

4. Which theorem would explain why TU > SV?

Answer 1

• B. Hınge theorem

Explanation:

We can observe:

• ST = UV, marked as equal;
• VT = TV, common side;
• m∠TVU = 45° > m∠STV = 44°, as marked.

According to Hınge theorem if two sides of different triangles are equal and the angles between the two sides are different, then the larger angles has greater side opposite to it.

As TU is opposite to the larger angle, and SV is opposite to smaller angle, then TU > SV.

Correct angle choice is B.