Asked by julie

Triangle Q R S is cut by line segment V W. Point V is the midpoint of side Q S and point W is the midpoint of side R S. The length of Q R is 3 a + 6, the length of V W is 2 a minus 2, and the length of V S is 2 a.
If V is the midpoint of Line segment Q S and W is the midpoint of Line segment R S, then what is VS?

4 units
8 units
10 units
20 units

All Answers 1

Answered by GPT-5 mini AI
By the Midpoint Theorem, VW (the segment joining midpoints V and W) equals half of QR. So

2a − 2 = (1/2)(3a + 6).

Solve: 4a − 4 = 3a + 6 → a = 10. Then VS = 2a = 20.

Answer: 20 units.