Question

concept rotations
a rotation ( r_{(x^{circ}, p)} ) is a transformation that rotates each point in the
preimage about a point ( p ), called the center of rotation, by an angle
measure of ( x^{circ} ), called the angle of rotation. a rotation
has these properties:

• the image of ( p ) is ( p ) (that is, ( p = p )).
• for a preimage point ( a, p a=p a^{prime} ) and ( m angle a p a^{prime}=x^{circ} ).

a rotation is a rigid motion, so length and angle measure
are preserved. note that a rotation is counterclockwise
for a positive angle measure.

1. ( rleft(-90^{circ},(2,1)

ight) )
is a reflection across ( (2,1) )
is a cew rotation about ( (2,1) )
is a cw rotation, where the center
of rotation is at ( (2,1) )
is a cw rotation, where the center
of rotation is at the origin.

Explanation:

A rotation \(r_{(x^{\circ},P)}\) is about point \(P\). Here \(P=(2,1)\). A negative angle \(- 90^{\circ}\) indicates a clock - wise (cw) rotation.

Answer:

Is a cw rotation, where the center of rotation is at \((2,1)\)