Back to Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations — Problem 5 · Task Set 22

Exercises: Congruence Through Sequences of Rigid Motions

Work through each section in order. When you describe a sequence of rigid motions, name each transformation in order and give its parameters: direction and distance for a translation, the line of reflection for a reflection, and the center and angle (with direction) for a rotation. Two figures are congruent only when a sequence of rigid motions maps one exactly onto the other.

Grade 8·21 problems·~35 min·Common Core Math - Grade 8·container·8-g-a-2

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Fluency Practice

For each pair of congruent figures, describe a sequence of rigid motions that maps the first onto the second. Name each transformation in order, with its parameters.

Point $P(2, 5)$ is rotated $90\degree$ clockwise about the origin using the rule $(x, y) \rightarrow (y, -x)$ . What are the coordinates of the image point $P'$ ? Write your answer in the form $(a, b)$ .