nuccioreggie
  • nuccioreggie
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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triciaal
  • triciaal
@chris00 thanks I won't be able to complete pressed for time
anonymous
  • anonymous
|dw:1444396883679:dw|
nuccioreggie
  • nuccioreggie
ok

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triciaal
  • triciaal
did you plot the points?
nuccioreggie
  • nuccioreggie
yes
nuccioreggie
  • nuccioreggie
can you guys explain all the answers for me please
triciaal
  • triciaal
to reflect across the y-axis each point (x, y) goes to (-x, y)
triciaal
  • triciaal
congruent means same compare the lengths and angles
anonymous
  • anonymous
do you know how to calculate scale factors @nuccioreggie
triciaal
  • triciaal
scale factor is the ratio of the sides from
nuccioreggie
  • nuccioreggie
no
anonymous
  • anonymous
you can pick any point to determine the scale factor
nuccioreggie
  • nuccioreggie
ok
anonymous
  • anonymous
scale factor = new image/ old image
nuccioreggie
  • nuccioreggie
So for Part A?
anonymous
  • anonymous
P'(1, −2) (new image) old image P(3, −6))
nuccioreggie
  • nuccioreggie
um uhhh i sthat for part A?
anonymous
  • anonymous
you can choose the x or y-coordindate to solve for it
anonymous
  • anonymous
scale factor = 1/3
nuccioreggie
  • nuccioreggie
ok can you explain the answer for part A in 1 comment please
anonymous
  • anonymous
i just did...
nuccioreggie
  • nuccioreggie
ohhhh lol im so sorrry so scale factor = 1/3 is the answer
anonymous
  • 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
  • anonymous
good?
nuccioreggie
  • nuccioreggie
wow lol yea thanks so what about B and C?
anonymous
  • anonymous
yep ok
anonymous
  • anonymous
if we want to reflect it in the y axis, |dw:1444397999471:dw|
anonymous
  • anonymous
as triciall said each point (x, y) goes to (-x, y)
nuccioreggie
  • nuccioreggie
oh ok so what will the answer for letter B will be?
anonymous
  • 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
  • anonymous
|dw:1444398231371:dw|
nuccioreggie
  • nuccioreggie
ok soooo i get that the answer for C?
anonymous
  • 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
  • anonymous
the diagram is used for C
anonymous
  • anonymous
|dw:1444398545805:dw|
nuccioreggie
  • nuccioreggie
CAN YOU PUT THE ANSWER FOR c in word please?
anonymous
  • 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
  • nuccioreggie
thank you
anonymous
  • anonymous
np
anonymous
  • anonymous
i think i get a fan after that ahah
nuccioreggie
  • nuccioreggie
can you help me with like 2more questions?
anonymous
  • anonymous
sorry, i have to go to sleep. its past midnight >.<
anonymous
  • anonymous
good luck
nuccioreggie
  • nuccioreggie
preciate it

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