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Ludmilka [50]
3 years ago
11

A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im

age △A'B'C'? Check all that apply.
AB is parallel to A'B'.

DO,1/2(x, y) = (1/2x, 1/2y)

The distance from A' to the origin is half the distance from A to the origin.

The vertices of the image are farther from the origin than those of the pre-image.

A'B' is greater than AB.

Mathematics
2 answers:
fomenos3 years ago
3 0
A dilation is a transformation D_{o,k}(x,y), with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.

In a dilation of D_{o, \frac{1}{2} }(x,y), the scale factor, \frac{1}{2} is mapping the original figure to the image in such a way that the distances from O to the vertices of the image are half the distances from O to the original figure. Also the size of the image is half the size of the original figure.

Therefore, <span>If D_{o, \frac{1}{2} }(x,y) is a dilation of △ABC, the truth about the image △A'B'C'</span> are:

<span>AB is parallel to A'B'.

D_{o, \frac{1}{2} }(x,y)=( \frac{1}{2}x,  \frac{1}{2}y)

The distance from A' to the origin is half the distance from A to the origin.</span>
LekaFEV [45]3 years ago
3 0

Answer:

<em><u>1</u></em>

<em><u>2</u></em>

<em><u>3</u></em>

Step-by-step explanation:

I JUST DID IT AND GOT IT CORRECT!!!

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