Question

i need help:(

Answer 1

With what? :)

Answer 2

Triangles

Answer 3

Okay what specifically do you need help with on triangles.

Answer 4

Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, –4), and R(–8, –4). Triangle P'Q'R' has vertices P'(1, 0), Q'(0, –1), and R'(–2, –1).

Plot triangles PQR and P'Q'R' on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer.

Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis.

Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer.

Answer 5

Do you know how to do the first one? it's quite simple.

Answer 6

I've been having trouble on finding scale factor of dilation because my teacher never taught it yet and he gave us work on it over fall break.

Answer 7

The scale factor is simple. Simply divided the new image by the original image. Watch.

"Triangle PQR has vertices P(4, 0), Q(0, –4), and R(–8, –4). Triangle P'Q'R' has vertices P'(1, 0), Q'(0, –1), and R'(–2, –1)."

P(4, 0).... P'(1, 0)

Answer 8

Oops, my thing didn't show up.

Answer 9

"Triangle PQR has vertices P(4, 0), Q(0, –4), and R(–8, –4). Triangle P'Q'R' has vertices P'(1, 0), Q'(0, –1), and R'(–2, –1)."


PQ = 4/-4 = 2
P'Q' = 1/-1 = 2

Therefore, your scale factor is 2.

Answer 10

Oh Thanks now i can do the rest of the problems about scale factor

Answer 11

So on part B would i need graph paper the reflect the figure? @Compassionate

Answer 12

http://www.virtualnerd.com/tutorials/?id=PreAlg_06_01_0013

Check this out for more information on scale factors.

Answer 13

okay

Answer 14

To reflect across your y-axis, you just change your x-coordinate. The general expression for reflections across the y-axis is (-x, y)

You have the points: P'(1, 0), Q'(0, –1), and R'(–2, –1).

So just substitute them, but make x the opposite. For example.

P'(1, 0) = (-1, 0) because (-x, y) is the expression.

Answer 15

Was going to type back sorry I got side tracked with a quiz but it looks like you are covered. <3

Answer 16

@richgall____ , are you familliar with the distance formula?

Answer 17

yea someone sent it to me b4

Answer 18

Okay, so say we're given a triangle with sides that we know. And that triangle is shrunk down and you're asking to find the scale factor. You can find the scale factor by making a ratio. Simply take the corresponding sides of a triangle and divide them. The general equation is your NEW IMAGE over your ORIGINAL IMAGE

\[\frac{ 6 }{ 12 }\] Six over twelve is just one side. So this is a ratio. Now if we divide this, we will find the scale factor, which is 0.5. If the scale factor is less than 1, the image shrunk, if it is greater than 1, the image grew. We can see your scale factor is 0.5, which means it shrunk. A dilation that creates a bigger image is called an \(ENLARGMENT\) and an image that creates a smaller one is called a \(REDUCTION\)

Answer 19

Are you following so far?

Answer 20

yea