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

3:2

Explanation:

just took the test

Answer 2

we know that

If the ΔABC and ΔXYZ are similar. then the corresponding sides of the triangles are proportional

`(AB)/(XY)= (BC)/(YZ)= (AC)/(XZ)`

we have

`AC=15\ units\\XZ=10\ units`

Find the ratio

`(AC)/(XZ)`

substitute the values

`(15)/(10)`

Simplify Divide by
`5` both numerator and denominator

`(15)/(10)=(3)/(2)`

therefore

the answer is

`(3)/(2)`