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.

Question

Mathematics

Madelynn Glover

12 August, 18:32

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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Answers (1)

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Giuliana Decker · Answer 1

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)