Question

Consider the dilation.

Pre-image: A(3, 4)A(3, 4) , B(1, 5)B(1, 5) , and C(6, 6)C(6, 6)

Image: A′(4.5, 6)A′(4.5, 6) , B′(1.5, 7.5)B′(1.5, 7.5) , and C′(9, 9)C′(9, 9)

Is the dilation an expansion or contraction? What is the scale factor?

Answer 1

@563blackghost

Answer 2

@3mar

Answer 3

Look at the first point of the pre-image and the image...

\(\huge{(3,4) \rightarrow (4.5,6)}\)

The x value goes from `3` to `4.5` is that increasing or decreasing?

Answer 4

increasing

Answer 5

Correct so this is an expansion

Answer 6

so the dilation is an expansion

Answer 7

Correct since the x-value was increasing :)

Answer 8

and i believe the scale factor is 1/2

Answer 9

or 3/2

Answer 10

not sure

Answer 11

Now to determine the scale factor we can divide the x-value of the image by the pre-image....

\(\Large{4.5 \div 3 =?}\)

We can also do this with the y-values...

\(\Large{6 \div 4 = ?}\)

Answer 12

1.5 or 3/2

Answer 13

Correct :) So the dilation is an `expansion`. And the scale factor is \(\large{\frac{3}{2}}\) :)

Answer 14

Hope I was helpful :) I have to go...Good luck on the rest of your work ^^

Answer 15

could you help me with 1 more question

Answer 16

Im sorry but i can't :(

Answer 17

ok no worries

Answer 18

Cya around :)