Question

problem 3
describe a sequence of transformations for which triangle b is the image of triangle a

Explanation:

Step1: Observe the orientation change

Notice that triangle B has a different orientation compared to triangle A. A rotation is needed. Assume rotation about the origin. If we rotate triangle A 90 - degrees counter - clockwise about the origin, the general rule for a 90 - degree counter - clockwise rotation of a point $(x,y)$ is $(-y,x)$.

Step2: Observe the position change

After rotation, we need to translate the rotated triangle to match the position of triangle B. Count the number of units of horizontal and vertical translation. If we move the rotated triangle 3 units to the right and 2 units up, it will match the position of triangle B.

Answer:

First, rotate triangle A 90 - degrees counter - clockwise about the origin. Then, translate the rotated triangle 3 units to the right and 2 units up.