Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0).
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. (4 points)
Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)

- nuccioreggie

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- schrodinger

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- triciaal

@chris00 thanks I won't be able to complete pressed for time

- anonymous

|dw:1444396883679:dw|

- nuccioreggie

ok

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## More answers

- triciaal

did you plot the points?

- nuccioreggie

yes

- nuccioreggie

can you guys explain all the answers for me please

- triciaal

to reflect across the y-axis each point (x, y) goes to (-x, y)

- triciaal

congruent means same
compare the lengths and angles

- anonymous

do you know how to calculate scale factors @nuccioreggie

- triciaal

scale factor is the ratio of the sides from

- nuccioreggie

no

- anonymous

you can pick any point to determine the scale factor

- nuccioreggie

ok

- anonymous

scale factor = new image/ old image

- nuccioreggie

So for Part A?

- anonymous

P'(1, −2) (new image)
old image P(3, −6))

- nuccioreggie

um uhhh i sthat for part A?

- anonymous

you can choose the x or y-coordindate to solve for it

- anonymous

scale factor = 1/3

- nuccioreggie

ok can you explain the answer for part A in 1 comment please

- anonymous

i just did...

- nuccioreggie

ohhhh lol im so sorrry so scale factor = 1/3 is the answer

- anonymous

a) scale factor = new image/old image
Pick a point, so P. P is the old image. P' is the new image.
to determine the scale factor we can either use the corresponding x co-ordinate or y-coorindates.
using the co-ordinates
P'(1, −2) (new image)
old image P(3, −6))
therefore using x co-orindate
scale factor = P'/P = 1/3
or using y co-orindate
scale factor = P'/P = -2/-6=1/3
therefore scale factor = 1/3
we can see this seems right because the new image is smaller than the old image

- anonymous

good?

- nuccioreggie

wow lol yea thanks so what about B and C?

- anonymous

yep ok

- anonymous

if we want to reflect it in the y axis, |dw:1444397999471:dw|

- anonymous

as triciall said each point (x, y) goes to (-x, y)

- nuccioreggie

oh ok so what will the answer for letter B will be?

- anonymous

Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0).
Therefore,
P"Q"R" have verticies P''(-1,-2) Q'' (0,3) R''(1,0)

- anonymous

|dw:1444398231371:dw|

- nuccioreggie

ok soooo i get that the answer for C?

- anonymous

B) since y-reflection means each point (x, y) goes to (-x, y)
Therefore,
Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0).
Therefore,
P"Q"R" have verticies P''(-1,-2) Q'' (0,3) R''(1,0)

- anonymous

the diagram is used for C

- anonymous

|dw:1444398545805:dw|

- nuccioreggie

CAN YOU PUT THE ANSWER FOR c in word please?

- anonymous

C) Triangles are congruent when they have
exactly the same three sides and exactly the same three angles
So no triangles PQR and P''Q''R'' are not congruent

- nuccioreggie

thank you

- anonymous

np

- anonymous

i think i get a fan after that ahah

- nuccioreggie

can you help me with like 2more questions?

- anonymous

sorry, i have to go to sleep. its past midnight >.<

- anonymous

good luck

- nuccioreggie

preciate it

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