Question

The figure, polygon ABCD is dilated by a factor of 2 to produce A B C D with the origin as the center of dilation

Answer 1

In the polygon ABCD, the production of point A' and point D' is (-2,-2)  and (4,-2) respectively.

What is the transformation rule?

In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

$\mathbf{(x,y) \to (k_x, k_y)}$

where;

• k = scale factor

From the given information:

• The scale factor = 2
• the origin as a center of dilation for image vertices = (0, 0)

Now, using the coordinate vertices:

• A = (-1, -1)
• D = (2, -1)

The corresponding coordinate of the image vertices is as follows:

A(-1,-1) → A'(2 × (-1), 2 × (-1))

A' = (-2,-2)

D(2,-1) → A'(2 × (2), 2 × (-1))

D' = (4,-2)

Learn more about the transformation rule in coordinate planes here:

brainly.com/question/4251601

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