Question

determine the composition of transformations that would map figure abcd to figure abcd. 1. the transformation that would map vertex b to b is a translation down and right a rotation of 90° about b a rotation of 360° about b

Explanation:

Step1: Analyze translation

Translation moves a figure without rotation or reflection. A translation down and right would change the position of a point but not its orientation.

Step2: Analyze rotation of 90°

A 90 - degree rotation about a point changes the orientation of the figure around that point.

Step3: Analyze rotation of 360°

A 360 - degree rotation about a point brings the figure back to its original orientation.
By observing the relative position of B and B', we can see that the transformation is a translation down and right.

Answer:

a translation down and right