Question

which transformation would accomplish this?
answer
a reflection over the y - axis
a rotation 90° clockwise about the origin
a rotation 90° counterclockwise about the origin
a reflection over the x - axis

Explanation:

1. First, identify key vertices of Figure U: let's take (0,2), (5,5), (5,4), (2,5).
2. Apply the 90° clockwise rotation rule about the origin: $(x,y)

ightarrow (y,-x)$ to each vertex:

• $(0,2)

ightarrow (2,0)$

• $(5,5)

ightarrow (5,-5)$

• $(5,4)

ightarrow (4,-5)$

• $(2,5)

ightarrow (5,-2)$

1. These transformed vertices match the vertices of Figure V.
2. Verify other options: reflection over y-axis flips x-sign, reflection over x-axis flips y-sign, 90° counterclockwise rotation uses $(x,y)

ightarrow (-y,x)$; none produce Figure V.

Answer:

A rotation 90° clockwise about the origin