Question

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

Explanation:

First, identify key vertices of Figure A: let's take (4, -4), (8, -4), (6, -9). For a reflection over the y-axis, the transformation rule is $(x, y) \to (-x, y)$. Applying this:

• $(4, -4) \to (-4, -4)$
• $(8, -4) \to (-8, -4)$
• $(6, -9) \to (-6, -9)$

These coordinates match the vertices of Figure B. Other transformations do not produce the correct position: a 90° clockwise rotation would change axis orientation, 270° clockwise rotation is equivalent to 90° counterclockwise (also changes orientation), and x-axis reflection would flip the y-sign which does not match Figure B.

Answer:

A reflection over the y-axis