Question

Pls help 100 points

Consider this dilation.

(a)
Is the image of the dilation a reduction or an enlargement of the original figure? Explain.

(b)
What is the scale factor? Explain.

Answer 1

(a) reduction

(b) 2/3

Explanation:

(a) The original figure is called ΔMSV, while the dilation is called ΔM'S'V'. Because we can see that M'S'V' is clearly much smaller than MSV, we know that the image is a reduction of the original.

(b) We simply need to find the ratio of one side of M'S'V' to one side of MSV. Look at M'S': the length is just 4 - (-2) = 6 (this is because it's a completely horizontal line). The length of MS is 6 - (-3) = 9.

So, the scale factor is: 6 / 9 = 2/3.

Answer 2

The letters M,S,V are the original image.

The letters M’, S’, V’ are the displayed image.

You can see that M’, S’,V’ is a smaller image, so it was a reduction.

The length of line MS is 9 units.

The length of M’S’ is 6 units.

The dialation is 6/9 = 2/3