Questions: rotation 90° clockwise about the origin

Transcript text: rotation $90^{\circ}$ clockwise about the origin

Solution

Solution Steps

Step 1: Identify the coordinates of the vertices

The coordinates of the vertices of triangle TUV are: T(-1, -1) U(-2, 1) V(-1, 1)

Step 2: Apply the rotation rule

To rotate a point 90° clockwise about the origin, the rule is (x, y) → (y, -x). Applying this rule to each vertex: T(-1, -1) → (-1, 1) which we'll call T' U(-2, 1) → (1, 2) which we'll call U' V(-1, 1) → (1, 1) which we'll call V'

Step 3: State the new coordinates

The coordinates of the vertices after a 90° clockwise rotation are T'(-1, 1), U'(1, 2), and V'(1, 1).

Final Answer

T'(-1, 1), U'(1, 2), V'(1, 1)

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