Question

examine the transformation below. what sequence of transformations could have been used? 90° clockwise rotation, translate 2 units right 90° clockwise rotation, translate 2 units left 180° clockwise rotation, translate 2 units right 180° clockwise rotation, translate 2 units left

Explanation:

Step1: Analyze rotation

For a 90 - degree clockwise rotation of a point $(x,y)$ about the origin, the transformation rule is $(x,y)\to(y, - x)$. For a 180 - degree clockwise rotation of a point $(x,y)$ about the origin, the transformation rule is $(x,y)\to(-x,-y)$. By observing the orientation of the triangle, we can see that it has undergone a 90 - degree clockwise rotation.

Step2: Analyze translation

After the rotation, we can see that the triangle has moved to the left. Counting the grid - squares, it has been translated 2 units to the left.

Answer:

90° clockwise rotation, translate 2 units left