Question

khalil is using rigid transformations to map \\( \triangle a b c \\) to \\( \triangle m n p \\). what type of transformation does ray \\( a a ^ { prime } \\) indicate? (1 point) ray \\( a a ^ { prime } \\) indicates a rotation ray \\( a a ^ { prime } \\) indicates a translation ray \\( a a ^ { prime } \\) indicates a reflection ray \\( a a ^ { prime } \\) indicates a dilation

Explanation:

Step1: Recall transformation definitions

• Rotation: A transformation where a figure is turned around a fixed point.
• Translation: A transformation that slides a figure without rotation or reflection.
• Reflection: A transformation that flips a figure over a line.
• Dilation: A non - rigid transformation that resizes a figure.

Step2: Analyze ray \(AA'\)

Since it is a rigid transformation (dilation is non - rigid, so we can eliminate the dilation option). A translation would move \(A\) to \(A'\) in a straight line (all points moving the same distance in the same direction). A reflection would have a line of symmetry. Here, the presence of an angle (implied by the arc - like markings near \(M\)) suggests a rotation around point \(M\) (as rotation involves turning around a point).

Answer:

Ray \(AA'\) indicates a rotation.