Question

1. rotation 90° clockwise about the origin

rules of transformations:
: (x, y) (x ± h, y ± k) where h and k ar
movement is left, then h is negative. if movemen
: over the x - axis: (x, y) (x, - y)
: counter - clockwise: clockwise: rule
90° 270° (x, y) → (- y, x)
180° 180° (x, y) → (- x, - y)
270° 90° (x, y) → (y, - x)

Explanation:

Step1: Recall rotation rule

The rule for a \(90^{\circ}\) clockwise rotation about the origin is \((x,y)\to(y, -x)\).

Step2: Apply the rule to each point (assuming we had coordinates for the figure's vertices, but since the problem is about filling in the transformation type)

Translation is \((x,y)\to(x\pm h,y\pm k)\), reflection over \(x -\)axis is \((x,y)\to(x, -y)\), and rotation (as per the given rule structure).

Answer:

1. Translation
2. Reflection
3. Rotation