Question

Nancy drew parallelogram ABCD as shown. (Will include picture)



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 3 : 1. If the coordinates of vertex P are (-3, 4), what could be the coordinates of vertex Q?

(0, 5)

(6, 4)

(3, 4)

(9, 4)

Answer 1

First, can you put this parallelogram in a Cartesian plan?

Answer 2

And then can you find the length of AB?
Hint: vertex A and vertex B's 'y' value is the same (You'll probably see it in the plan if you don't get this one ;))

Answer 3

C?

Answer 4

Nope

Answer 5

I really do not know

Answer 6

Since vertex and & B's y value is the same, we know that AB is a horizontal line, so you do x2-x1:
6-3 = 3

We know the ratio is 3:1
If AB = 1, PQ = 3 (AB*3)
If AB = 3, PQ = AB*3 = 3*3 = 9

Now we know that PQ's length is 9
P's vertex is at (-3, 4)
Since AB is a horizontal line, PQ should be one as well, since both parallelogram are similar.
From there, try to solve for Q ;D