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richgall____
 one year ago
Medal!
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 yaxis.
Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer.
richgall____
 one year ago
Medal! 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 yaxis. Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer.

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richgall____
 one year ago
Best ResponseYou've already chosen the best response.0@amarimiller @Joehoffy

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.0Did you plot the shapes?

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.0When you plot the graphs, use the distance formula to measure the distance between two points on the original triangle, and then find the distance of the scaled triangle, using the prime of the same points.

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.0So if you measure the distance between Q and P, then measure the distance between Q' and P'

richgall____
 one year ago
Best ResponseYou've already chosen the best response.0it didnt give me a graph only thing it gave me was an explanation box to type my answer in

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.0So try graphing it on a piece of paper. A visual really helps.

richgall____
 one year ago
Best ResponseYou've already chosen the best response.0idk how to find the scale factor

richgall____
 one year ago
Best ResponseYou've already chosen the best response.0is it when you tell how many units it is moved to the left and right and up and down?

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.0Okay. That's fine. The scale factor is simply how much larger the shape is than its translation. Graphing it shows you that it is smaller, but it doesn't tell you by what factor. If we find the distance between two points (or a side of the triangle) in the original one, then we can find the distance of the proportional length in the scaled triangle and whatever factor the large length is bigger compared to the smaller one, is your scale factor.

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.0Btw, the distance between two points has a formula:\[d=\sqrt{(x_{2}x_{1})^2+(y_{2}y_{1})^2}\]

richgall____
 one year ago
Best ResponseYou've already chosen the best response.0is the scale factor 1/2

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.0I have to go soon, so find the distance using that formula between Q and R and then on the other triangle, find the distance between Q' and R'. Then, compare how many times larger PQ is than P'Q'.

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.0QR AND Q'R', not PQ AND P'Q'. I'm sorry for the typo.

PhantomCrow
 one year ago
Best ResponseYou've already chosen the best response.0And I go QR=8 AND Q'R'=2 so from there decide the scale factor (how many times larger)
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