The coordinates of △ABC are A(−11,7), B(−5,−3), C(−2,3). After a dilation, the coordinates are A'(22,−14), B'(10,6), C'(4,−6). Find the scale factor.

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freckledspots freckledspots · Answer 1 · 2019-07-13T06:02:11+02:00

Answer:

-2

Step-by-step explanation:

Before a dilation you have the point (x,y).

After a dilation of a scale factor of r you have (r*x,r*y).

Let's look at one pair of corresponding points.

A(-11,7) and A'(22,-14)

We need to figure out what we can multiply to -11 to get 22.

We need to figure out what we can multiply to 7 to get -14.

Hopefully it is the same number or this isn't a dilation.

So to get from pre-image to image you need to multiply by -2 because -11*-2=22 and 7*-2=-14.

The scale factor is -2.

The dilation is this: (x,y)->(-2x,-2y)

tutorconsortium009 tutorconsortium009 · Answer 2 · 2022-06-25T10:52:27+02:00

The required scale factor is -2

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

We know that if we have the point (x, y) before a dilation and (ax, ay) after a dilation, then a is the scale factor

Let's consider one pair of corresponding points.

To get the scale factor we need to find out what we can multiply to -11 and 7 to get 22 and -14

Clearly we need to multiply by -2.

This is applicable for all the points

So, the scale factor is -2.

Find more about "Scale factor" here: https://brainly.com/question/10253650

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