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18 August, 17:38

4. A triangle has vertices (-2,-3) (3,5) and (8,-1).

(a) Write a matrix expression to represent reflecting the triangle across the x-axis. Evaluate the matrix expression and list the coordinates of the vertices of the transformed figure.

(g) Write a matrix expression to represent rotating the triangle 90° clockwise. Evaluate the matrix expression and list the coordinates of the vertices of the transformed figure.

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  1. 18 August, 17:56
    0
    Given:

    Vertex 1 (-2,-3)

    Vertex 2 (3,5)

    Vertex 3 (8,-1)

    Reflection across the x-axis rule (x, y) → (x - y)

    Vertex 1 (-2,-3) → (-2, - (-3)) → (-2,3)

    Vertex 2 (3,5) → (3,-5)

    Vertex 3 (8,-1) → (8, - (-1)) → (8,1)

    Rotation 90° clockwise (x, y) → (y,-x) * I'm assuming the original triangle was rotated and not the reflection.

    Vertex 1 (-2,-3) → (-3, - (-2)) → (-3,2)

    Vertex 2 (3,5) → (5,-3)

    Vertex 3 (8,-1) → (-1,-8)
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