Question

mr. patel drew figure a and its image, figure k, on the grid. hiroko says figure k is a rotation of figure a. kareem says it is a reflection. can both students be correct? explain.

Explanation:

Step1: Recall transformation rules

A figure can't be both a rotation and a reflection of another figure simultaneously. Rotation is turning a figure around a point and reflection is flipping a figure over a line.

Step2: Analyze the claims

Hiroko says figure K is a rotation of figure A and Kareem says it is a reflection. Since rotation and reflection are different types of rigid - motions, they can't both be correct for the same pair of figures.

Answer:

No, both students cannot be correct because a figure cannot be both a rotation and a reflection of another figure at the same time.