Question

which sequence of transformations maps defgh onto defgh? a rotation 90° clockwise around the origin followed by a translation left 9 units a reflection across the x - axis followed by a rotation 90° clockwise around the origin n translation left 9 units followed by a reflection across the x - axis

Explanation:

Step1: Analyze rotation rules

The rule for a 90 - degree clockwise rotation around the origin is $(x,y)\to(y, - x)$. Analyzing the orientation change from DEFGH to D'E'F'G'H', a 90 - degree clockwise rotation around the origin is part of the transformation.

Step2: Analyze translation

After rotation, we can observe that the figure is shifted left. Counting the horizontal displacement of corresponding points, it is shifted left 9 units.

Answer:

a rotation 90° clockwise around the origin followed by a translation left 9 units