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Math Help - can someone check my coordinate points?

  1. #1
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    can someone check my coordinate points?

    can someone check if i did these coordinates correctly cause my graph looks kinda werid

    1)Graph and label triangle ABC whose vertices have coordinate A( 2,2) B(1,5) and C (5,4)

    Graph triangle A' B' C' the image of triangle ABC under T -6,3
    state the coordinates of A' B' C'

    A(2,2) -> A'(-4,5)
    B(1,5) -> B'(-5,8)
    C(5,4) -> C'(-1,7)

    Graph traingle A"B"C" the image of traingle ABC under r y=x
    State the coordinate of A" B" C"

    A(2,2) -> A"(2,2)
    B(1,5) -> B"(5,1)
    C(5,4) -> C"(4,5)

    Graph triangle A"B"C" the image of traingle ABC under R o,90
    State the coordinate of A"'B"'C"'

    A(2,2) -> A"'(-2,2)
    B(1,5) -> B"'(-5,1)
    C(5,4) -> C"'(-4,5)

    2)Graph and label triangle ABC whose vertices have coordinate A( 2,2) B(1,5) and C (5,4)

    Graph triangle A' B' C' the image of triangle ABC under D2
    state the coordinates of A' B' C'

    A(2,2) -> A'(4,4)
    B(1,5) -> B'(2,10)
    C(5,4) -> C'(10,8)

    Graph traingle A"B"C" the image of traingle ABC under r origin
    State the coordinate of A" B" C"

    A(2,2) -> A"(2,2)
    B(1,5) -> B"(5,-1)
    C(5,4) -> C"(4,5)

    Graph triangle A"B"C" the image of traingle ABC under r x-axis
    State the coordinate of A"'B"'C"'

    A(2,2) -> A"'(2,-2)
    B(1,5) -> B"'(1,-5)
    C(5,4) -> C"'(5,-4)
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    Hello zelda1850
    Quote Originally Posted by zelda1850 View Post
    can someone check if i did these coordinates correctly cause my graph looks kinda werid

    1)Graph and label triangle ABC whose vertices have coordinate A( 2,2) B(1,5) and C (5,4)

    Graph triangle A' B' C' the image of triangle ABC under T -6,3
    state the coordinates of A' B' C'

    A(2,2) -> A'(-4,5)
    B(1,5) -> B'(-5,8)
    C(5,4) -> C'(-1,7)

    Graph traingle A"B"C" the image of traingle ABC under r y=x
    State the coordinate of A" B" C"

    A(2,2) -> A"(2,2)
    B(1,5) -> B"(5,1)
    C(5,4) -> C"(4,5)

    Graph triangle A"B"C" the image of traingle ABC under R o,90
    State the coordinate of A"'B"'C"'

    A(2,2) -> A"'(-2,2)
    B(1,5) -> B"'(-5,1)
    C(5,4) -> C"'(-4,5)

    2)Graph and label triangle ABC whose vertices have coordinate A( 2,2) B(1,5) and C (5,4)

    Graph triangle A' B' C' the image of triangle ABC under D2
    state the coordinates of A' B' C'

    A(2,2) -> A'(4,4)
    B(1,5) -> B'(2,10)
    C(5,4) -> C'(10,8)

    Graph traingle A"B"C" the image of traingle ABC under r origin
    State the coordinate of A" B" C"

    A(2,2) -> A"(2,2)
    B(1,5) -> B"(5,-1)
    C(5,4) -> C"(4,5)

    Graph triangle A"B"C" the image of traingle ABC under r x-axis
    State the coordinate of A"'B"'C"'

    A(2,2) -> A"'(2,-2)
    B(1,5) -> B"'(1,-5)
    C(5,4) -> C"'(5,-4)
    The notation you are using to represent each of the transformations is not one that I've used, but I can see what most of your answers represent.

    1a is OK - it's a translation through -6 in the x-direction and 3 in the y-direction.

    1b is OK - if r y = x represents a reflection in y = x.

    1c is OK - if R o,90 means a rotation centre O, through 90 degrees anticlockwise.

    I think 2a is OK - provided D2 represents an enlargement with scale factor 2, centre O. (But I don't see why the letter D is used.)

    2b doesn't seem to make sense to me. What does r origin mean?

    2c is OK - if r x-axis is a reflection in the x-axis.

    So all your answers make sense except the second part of question 2. Do you need to look at that one again?

    Grandad
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