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

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

Step-by-step explanation: Took the test and it was correct :)

Answer 2

To verify similarity, the toy maker should check the congruence of corresponding segments by translation and angles by reflection, ensuring they are proportional and thus confirming the triangles are similar.

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 perform the following steps. First, confirm that the corresponding segments of the triangles are congruent by translation, such as verifying that segment SR is congruent to segment YX and segment ST is congruent to segment YZ.

Then, they should confirm that the corresponding angles of the triangles are congruent by reflection, making sure that angle S is equal to angle Y and angle T is equal to angle Z. This process shows that both triangles have the same shape and their corresponding sides and angles are proportional, which defines them as similar triangles. Taking ratios of similar sides, would provide additional verification of their similarity.