Question

Polygon MNP shown on the coordinate planeA dilation centered about the origin will be performed on the polygon with vertices M(- 18, 12) forall(8,10),8(-6,8) and Q(- 8, - 8)

Answer 1

N'(4, 5)

Explanation:

The correct question is attached.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.

Dilation is a transformation that changes the size of a figure (i.e. it increases or reduces the size).

If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).

The location of the polygon vertex is at M(-16, 12), N(8, 10), P(-6, 8) and Q(-8, -8).

After dilation, the new location of M is at M'(-8, 6)

M(-16, 12) ⇒ M'(-8, 6)

M(-16, 12) ⇒ M'[1/2(-16), 1/2(12)]

Hence the dilation factor is 1/2. This means that the new vertex is at:

N'(4, 5), P'(-3, 4) and Q'(-4, -4).