Question

Polygons EFHG and E′F′H′G′ are shown on the following coordinate grid:

What set of transformations is performed on EFHG to form E′F′H′G′?

A.) A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin
B.) A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
C.) A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right
D.) A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right

Answer 1

90 degrees counterclockwise rotation about the origin
(x,y) ....(-y, x)

E(2,2) to E'(-2,2)
F(2,4) to F'(-4, 2)

then translation 1 unit to the right
E'(-2,2) to E'(-1,2)
F'(-4, 2) to F'(-3, 2)

answer is

D.) A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right