Question

Please help

Determine if ΔUTV and ΔRQS are similar. If so, write the similarity statement.

Question 1 options:

A)
ΔVTU ∼ ΔQRS

B)
ΔUTV ∼ ΔRQS

C)
Impossible to determine.

D)
The triangles are not similar.



Solve for x.

Question 2 options:

A)
42

B)
47

C)
44

D)
48

Answer 1

1) B

2) A

Explanation:

1) When a triangle is similar it means that all the angle measures are the same.

So for triangle UVT the angle measures are:

U=29.95, V=56.25, T=93.82

For triangle RSQ the angle measures are:

R=29.95, S=56.25, Q=93.82

So the answer is that they are similar (triangle UTV ~triangle RQS)

2) For this problem each sided is proportional because of the parallel lines. (It's been a while since I've done this kind of math but I'll give it a go)

30/25=x/35

25x=30(35)

25x=1050

x=42