Question

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?

triangles SRT and YXZ

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.

Answer 1

The toy maker confirms that the pieces are similar using the definition of similarity in terms of similarity transformations by verifying ∠S ≅ ∠Y and ∠T ≅ ∠Z by translation. Option D is correct.

What are the conditions of the congruent triangle?

Triangles that are equivalent in terms of size and form are known as congruent triangles.

When two triangles are similar, their angles are equal and their respective sides are proportionate in the same way. A comparable triangle's side is not always the same length.

Also, for the given condition the longest side of the triangles is facing the same side therefore, it can be concluded the triangles are not reflected, but instead, the two triangles are translated.

The toy maker confirms that the pieces are similar using the definition of similarity in terms of similarity transformations by verifying ∠S ≅ ∠Y and ∠T ≅ ∠Z by translation.

Hence, the correct option is D.

To learn more about the congruent triangle, refer;

https://brainly.com/question/12413243

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