Question

select translation, reflection, or rotation to identify the single transformation that transforms δrst to δrst. image of triangles rst (top) and rst (bottom) with three radio buttons labeled translation (selected), reflection, rotation

Explanation:

Step1: Recall transformation definitions

• Translation: Shifting a figure without rotation/reflection, same orientation/shape/position change via sliding.
• Reflection: Flipping over a line, mirror image.
• Rotation: Turning around a point.

Step2: Analyze $\triangle RST$ to $\triangle R'S'T'$

The triangles have the same shape, size, and orientation. $\triangle R'S'T'$ appears shifted (slid) down/left (or similar direction) from $\triangle RST$, no flip/rotation. So it's a translation.

Answer:

Translation (the selected option in the image is already correct, as the triangles show a slide without reflection/rotation).