The triangles below are similar. Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply. Triangle P R S is similar to triangle X Y Z Triangle R S P is similar to triangle Z X Y Triangle S R P is similar to triangle X Z Y Triangle P S R is similar to Triangle Z Y X Triangle R P S is similar to triangle Z Y X Triangle S P R is similar to triangle X Z Y

Question

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inchu420 inchu420 · Answer 1 · 2020-02-29T07:36:14+01:00

Answer:

The similarity statements that describes the relationship between the two triangles are

Triangle S R P is similar to triangle X Z Y.

Triangle R S P is similar to triangle Z X Y.

Triangle R P S is similar to triangle Z Y X.

Step-by-step explanation:

Given:

Triangles below are similar,

In ΔSRP

∠S = 54 ° , ∠R = 41° , ∠P = 85°

In ΔXYZ

∠X = 54 ° , ∠Z = 41° , ∠Y = 85°

Solution:

If two triangles are similar then their corresponding angles are Equal.

When the two triangles are Similar then their Vertices are correspondence to each other. the correspondence of vertices are as

For, Δ SRP ~ Δ XZY

S ↔ X ∠S ≅ ∠X = 54°

R ↔ Z ∠R ≅ ∠Z = 41°

P ↔ Y ∠P ≅ ∠Y = 85°

The true statement

Triangle S R P is similar to triangle X Z Y.

Triangle R S P is similar to triangle Z X Y.

Triangle R P S is similar to triangle Z Y X.

Not correct it should be

Triangle P R S is similar to triangle Y Z X,

Not correct it should be

Triangle P S R is similar to Triangle Y X Z.

Not correct it should be

Triangle S P R is similar to triangle X Y Z