Question

The figure shows three right triangles. Triangles UVW, UZV, and ZVW are similar.
Theorem: If two triangles are similar, the corresponding sides are in proportion.

Using the given theorem, which two statements help to prove that if segment UW is x, then x2 = 13?
Select one:
a. Segment UW ⋅ segment UZ = 4
Segment UW ⋅ segment ZW = 6

b. Segment UW ⋅ segment UZ = 9
Segment UW ⋅ segment ZW = 4

c. Segment UW ⋅ segment UZ = 4
Segment UW ⋅ segment ZW = 9

d. Segment UW ⋅ segment UZ = 6
Segment UW ⋅ segment ZW = 4

Answer 1

Since triangle UVW is similar to UZV, then
UW/UV = UV/UZ
UW. UZ = (UV)^2 = 2^2 =4

Hence option D is right