Question

describe a sequence of transformations that will take figure m onto its congruent image, figure n. explain your answer.

Explanation:

Step1: Rotate figure M

Rotate figure M \(180^{\circ}\) around the origin. The rule for a \(180^{\circ}\) rotation around the origin \((x,y)\to(-x, -y)\).

Step2: Translate the rotated figure

Translate the rotated figure. Count the horizontal and vertical distances. Translate the rotated figure \(1\) unit to the left (so \(x\) - coordinate of each point is decreased by \(1\)) and \(1\) unit down (so \(y\) - coordinate of each point is decreased by \(1\)).

Answer:

First, rotate figure M \(180^{\circ}\) around the origin. Then, translate the rotated figure \(1\) unit to the left and \(1\) unit down.