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?

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 can confirm the similarity of the pieces by performing translation and reflection transformations on the corresponding segments and angles.

Step-by-step explanation:

To confirm that the pieces are similar using the definition of similarity in terms of similarity transformations, the toy maker can:

1. Verify segment SR ≅ segment YX and segment ST ≅ segment YZ by translation.
2. Verify ∠S ≅ ∠Y and ∠T ≅ ∠Z by reflection.
3. Verify segment SR ≅ segment YX and segment ST ≅ segment YZ by reflection.