Enlarge the triangle by scale factor -1/3 with centre (-1,2).

The answer is below

Step-by-step explanation:

The coordinates of the triangle vertices is not given. Let us assume the vertices of the triangle is at A(2, 5), B(-5, 5) and C(-5, -4)

Solution:

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

Dilation is the enlargement or the reduction in the size of an object. The dilation of a point A(x, y) by a factor k about a point (a, b) is given by:

A' = (k(x - a) + a, k(y - b) + b)

Given the vertices of the triangle is at A(2, 5), B(-5, 5) and C(5, -4). The new location is at:

A' = [-1/3(2 - (-1)) -1, -1/3(5 - 2) + 2] = (-2, 1)

B' = [-1/3(-4 - (-1)) -1, -1/3(5 - 2) + 2] = (0, 1)

C' = [-1/3(5 - (-1)) -1, -1/3(-4 - 2) + 2] = (-3, 4)