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solmaris [256]
2 years ago
8

Line segmentAB has vertices A(−3, 4) and B(1, −2) . A dilation, centered at the origin, is applied to AB⎯⎯⎯⎯⎯ . The image has ve

rtices A′(−1, 43) and B′(13, −23) .
What is the scale factor of the dilation?

16

13

3

6
Mathematics
2 answers:
zysi [14]2 years ago
5 0

Answer:

The scale factor is

\frac{1}{3}

Step-by-step explanation:

Line segmentAB has vertices A(−3, 4) and B(1, −2) .

A dilation, centered at the origin, is applied to AB. The image has vertices

A'(-1,4/3) and B′(1/3, −2/3) .

We know the rule for dilation by scale factor of k, is

(x,y)\to(kx,ky)

This means that;

A(-3,4)\to A'(-3k,4k)

But we know, A' has coordinates (-1,4/3)

This means that

- 3k =  - 1

k =  \frac{1}{3}

We could also compare:

4k=4/3

Which gives

k=⅓

Morgarella [4.7K]2 years ago
3 0

Answer:

1/3

Step-by-step explanation:

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