Question

The two triangles below are similar. What is the similarity ratio of ΔABC to ΔXYZ?

1:2

2:1

3:2

2:3

Answer 1

@iPwnBunnies

Answer 2

First, you need to match up the triangle so they are in the same orientation.
If you look at ΔXYZ, you can see points X, Y, and Z go from left to right.

Match up ΔABC so that points A, B, and C also go from left to right. You can do that in your head.

Now, we need to look at similar sides when both triangle are in the same orientation.
For XYZ, we get the length of the bottom of the triangle, 10 units.
For ABC, after we put it in similar orientation, we can see the bottom is 15 units.

They want the ratio of triangle ABC to triangle XYZ. We can use the ratio of these bottoms for that.
ABC:XYZ -> 15:10 -> 3:2

Answer 3

For anyone ever looking this up, the answer is not 3:2. The answer is 2:3.