Question

identifying rigid transformations
which rigid transformations would map △jkl onto △pqr? choose three
correct answers.
a translation only
a reflection only
a rotation and a reflection
a rotation only

Explanation:

Step1: Understand rigid transformations

Rigid transformations include translation, rotation, and reflection. Translation moves a figure without rotation or reflection. Rotation turns a figure around a point. Reflection flips a figure over a line.

Step2: Analyze the triangles

Looking at \(\triangle JKL\) and \(\triangle PQR\), a translation only would not map them as their orientations are different. A reflection only might not align them properly. But a rotation can adjust the orientation and then a reflection (or vice - versa) can map one triangle onto the other. Also, a rotation and a reflection combination can work. Another way is a translation and a reflection.

Answer:

a rotation and a reflection, a translation and a reflection