Question

problem 6 (from unit 1, lesson 7) describe a rigid transformation that takes polygon a to polygon b.

Explanation:

Step1: Analyze horizontal and vertical shifts

To move Polygon A to Polygon B, we first look at the x - coordinates. The x - coordinates of points in Polygon A need to shift 4 units to the left. For example, if a point in A has x - coordinate \(x_1\), in B it will have \(x_2=x_1 - 4\). Then we look at the y - coordinates. The y - coordinates of points in Polygon A need to shift 5 units up. If a point in A has y - coordinate \(y_1\), in B it will have \(y_2=y_1+5\).

Step2: Define the rigid transformation

A translation is a rigid transformation that moves every point of a figure the same distance in the same direction. The translation rule for moving Polygon A to Polygon B is \((x,y)\to(x - 4,y + 5)\).

Answer:

Translate Polygon A 4 units to the left and 5 units up.