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zmey [24]
2 years ago
10

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. Tria

ngle 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
Mathematics
2 answers:
lys-0071 [83]2 years ago
4 0

Answer:

The answer is C

Step-by-step explanation:

zavuch27 [327]2 years ago
3 0

Answer:

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

Step-by-step 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.

__

<h3>corresponding sides</h3>

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
<h3>corresponding vertices</h3>

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

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