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Fill in the blanks. (i) The opposite s...

Fill in the blanks.
(i) The opposite sides of a parallelogram are `ul(P) and ul(Q)`
(ii) A quadrilateral having only one pair of opposite sides parallel is called a `ul(R)`
(iii) A parallelogram having all the sides equal is called a `ul(S)`.

A

`{:(P,Q,R,S),("equal"," parallel"," rectangle"," rhombus "):}`

B

`{:(P,Q,R,S),("equal"," non-parallel","trapezium","kite"):}`

C

`{:(P,Q,R,S),("equal"," parallel","trapezium" ,"rhombus"):}`

D

`{:(P,Q,R,S),("equal"," parallel"," trapezium"," kite"):}`

Text Solution

AI Generated Solution

The correct Answer is:
To fill in the blanks, we need to identify the correct terms based on the properties of shapes mentioned in the question. Let's solve it step by step. ### Step-by-Step Solution: 1. **Identify the Opposite Sides of a Parallelogram:** - In a parallelogram, the opposite sides are equal and parallel. Let's denote these sides as `P` and `Q`. - Therefore, the answer for (i) is: **P and Q**. 2. **Identify the Type of Quadrilateral with One Pair of Opposite Sides Parallel:** - A quadrilateral that has only one pair of opposite sides parallel is known as a trapezium. - Therefore, the answer for (ii) is: **Trapezium**. 3. **Identify the Type of Parallelogram with All Sides Equal:** - A parallelogram where all sides are equal is called a rhombus. - Therefore, the answer for (iii) is: **Rhombus**. ### Final Answers: (i) P and Q (ii) Trapezium (iii) Rhombus

To fill in the blanks, we need to identify the correct terms based on the properties of shapes mentioned in the question. Let's solve it step by step. ### Step-by-Step Solution: 1. **Identify the Opposite Sides of a Parallelogram:** - In a parallelogram, the opposite sides are equal and parallel. Let's denote these sides as `P` and `Q`. - Therefore, the answer for (i) is: **P and Q**. ...
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