Fill in the blanks.
Rotation turns an object about a `ul(P)` fixed point is the centre of `ul(Q)`. The angle by which the object rotates is the `ul(R)`. P point. The

Options

A. P - fixed, Q- rotation, R - angle of rotation
B. P - variable , Q- rotation , R - central angle
C. P - fixed , Q- angle of rotation , R - rotation
D. P - variable , Q- rotation, R - angle of rotation

Explanation

To fill in the blanks in the given statement, we need to identify the correct terms that relate to the concept of rotation in geometry. Here’s the step-by-step solution:

1. **Identify the fixed point**: The fixed point around which rotation occurs is known as the **center of rotation**. This is the point that remains stationary while the rest of the object rotates around it.

**Hint**: Think about a spinning top; the point where it touches the table is the fixed point.

2. **Determine what the center of rotation is**: The center of rotation is represented by **Q** in the statement. It is the point that remains unchanged during the rotation.

**Hint**: Recall that in a circle, the center is the point from which all points on the circle are equidistant.

3. **Identify the angle of rotation**: The angle by which the object rotates is referred to as the **angle of rotation**. This is the measure of how far the object has turned around the center of rotation.

**Hint**: Consider how we measure angles in degrees or radians when we talk about rotations.

4. **Fill in the blanks**: Now, we can fill in the blanks with the identified terms:
- P: **fixed point**
- Q: **center of rotation**
- R: **angle of rotation**

Thus, the completed statement is:
"Rotation turns an object about a **fixed point** (P) which is the centre of **rotation** (Q). The angle by which the object rotates is the **angle of rotation** (R)."

**Final Answer**:
- P: fixed point
- Q: center of rotation
- R: angle of rotation