Question

figures b, c, and d are all images of figure a. which figures can you map figure a onto using a single reflection, rotation, or translation? choose all that apply. figure b figure c figure d

Explanation:

Step1: Analyze figure B

Figure B can be obtained from figure A by a reflection across the y - axis. The x - coordinates of the vertices of figure A change their signs to get the vertices of figure B while the y - coordinates remain the same.

Step2: Analyze figure C

Figure C cannot be obtained from figure A by a single reflection, rotation, or translation. The orientation and position of figure C relative to figure A cannot be achieved with one of these basic rigid motions.

Step3: Analyze figure D

Figure D can be obtained from figure A by a rotation of 180° about the origin. When a point (x,y) is rotated 180° about the origin, it becomes (-x,-y), and this transformation maps figure A to figure D.

Answer:

A. figure B, D. figure D