which transformation would take figure a to figure b? answer a clockwise rotation of 180° about the origin a…

which transformation would take figure a to figure b? answer a clockwise rotation of 180° about the origin a reflection over the line y = -x a clockwise rotation of 270° about the origin a reflection over the line y = x

which transformation would take figure a to figure b? answer a clockwise rotation of 180° about the origin a reflection over the line y = -x a clockwise rotation of 270° about the origin a reflection over the line y = x

Answer

Answer:

A. A clockwise rotation of 180° about the origin

Explanation:

Step1: Recall rotation rules

For a 180 - degree clock - wise rotation about the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(-x,-y)$.

Step2: Check key points

Pick a key point on Figure A, say a vertex. Apply the 180 - degree clockwise rotation rule about the origin. The new coordinates match the corresponding vertex of Figure B.

Step3: Eliminate other options

For reflection over $y = - x$, the rule is $(x,y)\to(-y,-x)$; for 270 - degree clockwise rotation about the origin, the rule is $(x,y)\to(y,-x)$; for reflection over $y = x$, the rule is $(x,y)\to(y,x)$. These do not map Figure A to Figure B.