The ABC Toy Company is creating two similar pieces for a board game, as shown below. How could the toy maker confirm that the pieces are similar using the definition of similarity in terms of similarity transformations? Verify segment SR ≅ segment YX and segment ST ≅ segment YZ by translation. Verify ∠S ≅ ∠Y and ∠T ≅ ∠Z by reflection. Verify segment SR ≅ segment YX and segment ST ≅ segment YZ by reflection. Verify ∠S ≅ ∠Y and ∠T ≅ ∠Z by translation.

∠S ≅ Y AND ∠T ≅ Z by translation

Step-by-step explanation:

ΔRST ≅ ΔXYZ    

m∠R ≅ m∠X

m∠S ≅ m∠Y

m∠T ≅ m∠Z

Verify ∠S ≅ ∠Y and ∠T ≅ ∠Z by translation.

Step-by-step explanation:

Triangles are similar if all three of their angles are congruent. If you can prove that two of them are the same, then the third ones must be congruent as well, because the angles of a triangle always add up to 180 degrees.

where's the diagrams?

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