Question

Which of the following statement is correct regarding the two given triangles in the following image?

• A. △ABC is obtained by translation of △PQR. △ABC ≅ △PQR
• B. △ABC is obtained by rotation of △PQR.
• C. △ABC is obtained by reflection of △PQR.
• D. △ABC $≆$ △PQR

Answer 1

The correct option is A △ABC is obtained by translation of △PQR. △ABC ≅ △PQR


Rotation is turning a figure. Here, the figure has not turned.

Translation refers to sliding a figure. Here, ΔPQR is moved
10 units down.

Reflection refers to flipping a figure. Here, the figure has not
flipped.

Since the translations do not change the size of the figure;
therefore, the given triangles are congruent.
So, △ABC ≅ △PQR