Question

Triangle ABC is rotated clockwise about the origin through 90°. The resulting triangle is then

Answer 1

When a shape is rotated, it must be rotated through a point.

The vertices of the triangle would remain unchanged after both transformations

Assume the coordinates of triangle ABC is (x,y).

The first rotation is 90 degrees clockwise rotation.

The rule of this transformation is:

$(x,y) \to (y,-x)$

Next, the triangle is rotated 270 degrees clockwise.

The rule of this transformation is:

$(x,y) \to (-y,x)$

So, we have:

$(y,-x) \to (x,y)$

Hence, the vertices of the triangle would remain unchanged after both transformations

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