Question

which transformation would take figure a to figure b? answer a reflection over the y - axis a clockwise rotation of 270 about the origin a reflection over the x - axis a clockwise rotation of 90 about the origin

Explanation:

Step1: Recall transformation rules

For a point $(x,y)$: reflection over y - axis gives $(-x,y)$; reflection over x - axis gives $(x, - y)$; clock - wise rotation of 90° about origin gives $(y,-x)$; clock - wise rotation of 270° about origin gives $(-y,x)$.

Step2: Analyze the transformation

Let's assume a vertex of Figure A is $(x,y)$. For the corresponding vertex in Figure B, if we consider a clock - wise rotation of 270° about the origin:
If we have a point $(x,y)$ in Figure A, after a clock - wise rotation of 270° about the origin, the new point is $(-y,x)$. By observing the positions of the vertices of Figure A and Figure B on the coordinate plane, we can see that this transformation rule applies.

Answer:

A clockwise rotation of 270 about the origin