Question

Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.

Answer 1

Answer:

The graph of the image is attached below.

Step-by-step explanation:

Let the points of the figure

• A(1, -1)

• B(3, -1)

• C(1, 2)

• D(3, 2)

We need to find the image coordinates after the dilation by a scale factor of 2 centered at the origin.

The rule of dilation by a scale factor of 2 is:

Dilation with scale factor 2, multiply by 2.

(x, y) → (2x,2y)

The coordinates of the vertices of the image according to this rule will be:

(x, y) → (2x,2y)

A(1, -1) → (2(1),2(-1)) = A'(2, -2)

B(3, -1) → (2(3),2(-1)) = B'(6, -2)

C(1, 2) → (2(1),2(2)) = C'(2, 4)

D(3, 2) → (2(3),2(2)) = D'(6, 4)

Therefore, the coordinates of the vertices of the image will be:

• A'(2, -2)

• B'(6, -2)
• C'(2, 4)
• D'(6, 4)

The graph of the image is attached below.