Question

Nancy drew parallelogram ABCD as shown.

On the same grid she will draw parallelogram PQRS similar to parallelogram ABCD with the ratio of corresponding side lengths PQ and AB equal to 4 : 1. If the coordinates of vertex P are (-8, -5), what could be the coordinates of vertex Q?

a. (4, 6)

b. (-4, -1)

c.(0, -5)

d. (8, -5)

Answer 1

Use distance formula

Answer 2

and c.(0, -5) is the answer

Answer 3

@SmoothMath help?(:

Answer 4

Similar with a ratio of 4:1
means that they're the same shape, but one is 4 times bigger than the other.

Answer 5

yep so that mean PQ is four times bigger then AB

Answer 6

Okay, tell me, how do you get from point A to point B?

Answer 7

4 units if that's what you mean?

Answer 8

Well, sort of. 4 units in which direction?

Answer 9

right from a to b

Answer 10

Good, that's exactly what I want.
To get from A to B, I go RIGHT 4, and I don't go up or down at all.

Answer 11

Now, for PQ, we said that it's going to be the same, but 4 times longer.

Answer 12

So how do I get from P to Q, Alyssa?

Answer 13

right 16 units

Answer 14

Yes. Good, so what will the coordinates of Q be if I start at P, which is (-8,-5) and go to the right 16.

Answer 15

8,-5?

Answer 16

Perfect =)

Answer 17

Will you stay and keep going with me to get a little extra practice and make sure you understand it? Let's figure out where R would be.

Answer 18

Sure, you would be going over 4 and up 8

Answer 19

Exactly =) Well, I'd prefer if you said right 4, but yes.

Answer 20

So where do you end up?

Answer 21

12,3?

Answer 22

You're so good. =D

Answer 23

yay! thank you soo much!

Answer 24

My pleasure, Alyssa! =D