Question

he 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

Answer 1

• YX=6
• XZ=7
• ZY=3

And

• AB=12
• BC=6
• AC=14

Check

• AB/YX=BC/ZY=AC/XZ
• 12/6=6/3=14/7
• 2=2=2

Hence

• ABC=XYZ

Or

• ZYX≈CBA

Option C