Fill in the blanks.
(i) A right angle is (P)________ of a revolution.
(ii) A figure whose all sides are equal and all angles are (Q)_________is called regular closed figure.
(iii) A line dividing a line segment into two equal parts and perpendicular to it is (R)_____________of the line segment.

Options

A. `{:(" "P," "Q," "R),("One-fourth","different","length"):}`
B. `{:(" "P," "Q," "R),("One-third","different","angle bisector"):}`
C. `{:(" "P," "Q," "R),("One-fourth","equal","perpendicular bisector"):}`
D. `{:(P," "Q," "R),("Half","equal","end point"):}`

Answer

Let's solve the fill-in-the-blanks step by step:

### Step 1: Understanding the first blank
The first statement is: "A right angle is (P)________ of a revolution."
- A right angle measures 90 degrees.
- A full revolution is 360 degrees.
- To find out how many right angles fit into a full revolution, we divide 360 degrees by 90 degrees.

**Calculation:**
\[ \text{Number of right angles} = \frac{360}{90} = 4 \]
This means one right angle is one-fourth of a revolution.

**Answer for (P):** 1/4

### Step 2: Understanding the second blank
The second statement is: "A figure whose all sides are equal and all angles are (Q)_________ is called a regular closed figure."
- A regular closed figure is defined as a polygon where all sides and all angles are equal.
- Therefore, the missing word should describe the angles in such a figure.

**Answer for (Q):** equal

### Step 3: Understanding the third blank
The third statement is: "A line dividing a line segment into two equal parts and perpendicular to it is (R)_____________ of the line segment."
- A line that divides a line segment into two equal parts and is perpendicular to it is known as a perpendicular bisector.

**Answer for (R):** Perpendicular Bisector

### Final Answers:
- (P) 1/4
- (Q) equal
- (R) Perpendicular Bisector