Question

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

A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin
  A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
 A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right
 A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right

Answer 1

The answer is D

Explanation:

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 2

Polygons EFHG and E′F′H′G′ are shown on the following coordinate grid:A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon EFHG is shown with vertex E on ordered pair 2, 2, vertex F on ordered pair 2, 4, vertex H on ordered pair 3, 5 and vertex G on ordered pair 3, 1. A polygon E prime F prime H prime G prime is shown with vertex E prime on ordered pair negative 1, 2, vertex F prime on ordered pair negative 3, 2, vertex H prime on ordered pair negative 4, 3, and vertex G prime on ordered pair 0, 3.