I need help with these questions please.

Mathematics

1 answer:

astraxan [27]3 years ago

8 0

Answer:

A'(0,1), B'(1,0) and the lines are parallel
dilation factor is 2
A(-2,0), B(2,0); twice the length

Step-by-step explanation:

1. Whenever dilation is about the origin, the dilation factor affects each coordinate individually. When the dilation factor is 1/2, each coordinate of the image is 1/2 the coordinate of the pre-image:

A(0, 2) ⇒ A'(0, 1)

B(2, 0) ⇒ B'(1, 0)

2. The above description works in reverse, as well. If the dilation factor is 1/2, the pre-image has coordinate values twice those of the image. Dilation does not change directions or angles, so any dilated lines are parallel.

3. The center of dilation is an invariant point: it does not move. As in the second problem, the pre-image is twice the size of the image when the scale factor is 1/2.

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