Question

graph the image of this figure after a dilation with a scale factor of 2 centered at the origin use the polygon tool to graph the dilated figure ! Please help 100 pts and brainliest

Answer 1

Answer:

For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.

The new coordinates will be

A(-4,10)

B(4,10)

C(-4,4)

D(4,4)

Step-by-step explanation:

The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).

Answer 2

Answer:

See below

Step-by-step explanation:

Points given on the graph:

• (-2, 2), (-2, 5), (2, 5), (2, 2)

Dilation by a scale factor of 2 will result in coordinates doubled for each point:

• (x, y) → (2x, 2y)

And the new points will be:

• (-2, 2) → (-4, 4)
• (-2, 5) → (-4, 10)
• (2, 2) → (4, 4)
• (2, 5) → (4, 10)

See attached for the graph