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

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  1. richgall____
    • one year ago
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    @PhantomCrow

  2. richgall____
    • one year ago
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    @amarimiller @Joehoffy

  3. PhantomCrow
    • one year ago
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    Did you plot the shapes?

  4. PhantomCrow
    • one year ago
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    When 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.

  5. PhantomCrow
    • one year ago
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    So if you measure the distance between Q and P, then measure the distance between Q' and P'

  6. richgall____
    • one year ago
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    it didnt give me a graph only thing it gave me was an explanation box to type my answer in

  7. PhantomCrow
    • one year ago
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    So try graphing it on a piece of paper. A visual really helps.

  8. richgall____
    • one year ago
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    okay

  9. richgall____
    • one year ago
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    idk how to find the scale factor

  10. richgall____
    • one year ago
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    is it when you tell how many units it is moved to the left and right and up and down?

  11. PhantomCrow
    • one year ago
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    No

  12. PhantomCrow
    • one year ago
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    Okay. 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.

  13. PhantomCrow
    • one year ago
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    Btw, the distance between two points has a formula:\[d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\]

  14. richgall____
    • one year ago
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    is the scale factor 1/2

  15. PhantomCrow
    • one year ago
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    I 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'.

  16. PhantomCrow
    • one year ago
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    QR AND Q'R', not PQ AND P'Q'. I'm sorry for the typo.

  17. richgall____
    • one year ago
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    okay

  18. PhantomCrow
    • one year ago
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    And I go QR=8 AND Q'R'=2 so from there decide the scale factor (how many times larger)

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