Question

The triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Triangle A B C. Side A C is 14 centimeters, A B is 12 centimeters, and B C is 6 centimeters. Which similarity statement expresses the relationship between the two triangles? Triangle Z Y X is similar to triangle C A B Triangle Z Y X is similar to triangle A C B Triangle Z Y X is similar to triangle C B A Triangle Z Y X is similar to triangle A B C Mark this and return

Answer 1

The answer is C

Explanation:

Answer 2

(c) Triangle Z Y X is similar to triangle C B A

Explanation:

Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.

__

corresponding sides

The side lengths, smallest to largest, for the two triangles are ...

• 3 cm -- ZY
• 6 cm -- YX
• 7 cm -- XZ

And for the other triangle, ...

• 6 cm -- BC
• 12 cm -- AB
• 14 cm -- AC

corresponding vertices

The points joining the each side to the next one longer, in order for the two triangles, are ...

Y, X, Z and B, A, C

The vertices corresponding to ZYX in the same order are CBA.

triangle ZYX is similar to triangle CBA