Question

The line segments are translated 2 units to the right to form E'F' and G'H'. Which statement describes E'F' and G'H'?

Line segments E'F' and G'H' do not intersect and are closer together than EF and GH.

Line segments E'F' and G'H' intersect at (−2, 0) and are two times farther apart than EF and GH.

Line segments E'F' and G'H' intersect at (0, −2) and are two times closer together than EF and GH.

Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.

Answer 1

Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.

Explanation:

Transformation is the movement of a point from its initial location to a final location. Types of transformation are reflection, rotation, translation and dilation. Translation is a rigid transformation that is it preserves shape, size and angle.

The locations of the point are E(-1, 2) , F(3,2), G(-1, 1), H(3,1). If a translation is done 2 units to the right (i.e. x + 2, y), the new location of the points is:

E'(1, 2), F'(5,2) G'(1,1), H'(5,1). Hence line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.