Question

A dilation by a scale factor od 2 centered at (2,-1) is performed on the triangle shown draw the resulting triange

Answer 1

A graph of the triangle and its image after a dilation by a scale factor of 2 centered at (2,-1) is shown in the image below.

In this exercise, we would have to dilate the coordinates of the preimage by using a scale factor of 2 centered at the point (2, -1) by using this mathematical expression:

(x, y) → (k(x - a) + a, k(y - b) + b)

For the coordinates of the image, we have;

Coordinates = (1, 2) → (2(1 - 2) + 2, 2(2 + 1) + (-1))

Coordinates = (1, 2) → (2(-1) + 2, 2(3) - 1)

Coordinates = (1, 2) → (-2 + 2, 6 - 1)

Coordinates = (0, 5).

Coordinates = (-3, -1) → (2(-3 - 2) + 2, 2(-1 + 1) + (-1))

Coordinates = (-3, -1) → (2(-5) + 2, 2(0) - 1)

Coordinates = (-3, -1) → (-10 + 2, 0 - 1)

Coordinates = (-8, -1).

Coordinates = (2, -1) → (2(2 - 2) + 2, 2(-1 + 1) + (-1))

Coordinates = (2, -1) → (2(0) + 2, 2(0) - 1)

Coordinates = (2, -1) → (0 + 2, 0 - 1)

Coordinates = (2, -1).

Answer 2

Explanation:

The vertices of the triangle are:

• (2, -1)

,

• (-3, -1)

,

• (1,2)

The triangle is dilated by a scale factor of 2 with the center of dilation at (2, -1).

The coordinates of the image triangle are (-2,1), (0,5) and (-8, -1).

Answer:

The triangle and its image are attached below: