Question

identify transformations (rigid motions)
question
figure ( mnop ) is the result of a transformation on figure ( ijkl ). which transformation would accomplish this?
answer
a rotation ( 90^circ ) clockwise about the origin
a rotation ( 180^circ ) clockwise about the origin
a rotation ( 90^circ ) counterclockwise about the

Explanation:

First, identify a vertex from Figure IJKL, such as point K at (1,5). Apply a 180° clockwise rotation about the origin, which uses the rule $(x,y) \to (-x,-y)$. For point K, this gives $(-1,-5)$, which matches point M on Figure MNOP. Verify with another vertex: point J at (5,2) becomes $(-5,-2)$, which matches point N. This confirms the transformation.

Answer:

A rotation 180° clockwise about the origin