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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.
- Triangle P R S is similar to triangle X Y Z,
Not correct it should be
Triangle P R S is similar to triangle Y Z X,
- Triangle P S R is similar to Triangle Z Y X
Not correct it should be
Triangle P S R is similar to Triangle Y X Z.
- Triangle S P R is similar to triangle X Z Y
Not correct it should be
Triangle S P R is similar to triangle X Y Z
