Question

Parallelogram RSTU is shown below with a line AB drawn through its center. If the parallelogram is dilated using a scale factor of 3 and a line is drawn through the center of the new dilated figure, what relationship will that line have with line AB in the drawing below?

Answer 1

Alright so when we're dilating the parallelogram by a scale factor of 3

that basically means, we take each point of the parallelogram

if the point is (x, y)
the new point when we dilate it by 3 will be (3x, 3y)

we just multiply the x-value by 3 and y-value by 3

Answer 2

So can you tell me the points of our parallelogram?

We have 4 points. Point R, S, T and U

What is the x and y coordinate of each point?

Answer 3

ive missed most of this unit at school so I'm very confused

Answer 4

do you know how to label a point?

Answer 5

no

Answer 6

okay, let's start from the basics then

here's an example

Answer 7

so we have a graph, and we have an x axis - it's that horizontal line

and we have a y-axis- it's the vertical line

Answer 8

oh yeah

Answer 9

we assign numbers to it, and so I drew a point at (3, 1)

we write the points as (x, y)
the x-value which was 3 and on the y-axis it was 1
so (3, 1)

Answer 10

make sense?

Answer 11

yeah

Answer 12

but when i look at the picture of the parallelogram there's no number on the y-axis

Answer 13

so for your graph, look at where the letter R is

can you tell me what the point is?

Answer 14

the x-axis is -3 but theres no number on the y-axis

Answer 15

good

that's true but you can see that's just one block DOWN so it's going to be -1

Answer 16

hold on i have to change classes

Answer 17

sure

so the point R is (-3, -1)

so now if we look back at your original question-
we have a scale factor of 3

that means we need to multiply both numbers by 3

so what is -3 * 3 =
and what is -1 * 3 =