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State 'T' for true and 'F' for false. ...

State 'T' for true and 'F' for false.
(a) A quadrilateral is a five sided polygon.
(b) All the four sides of a rhombus are equal.
(c) A trapezium has all angles equal.
(d) Half of a revolution is a straight angle.

A

`{:((a),(b),(c),"(d)"),(F,F,T,T):}`

B

`{:((a),(b),(c),"(d)"),(F,T,F,T):}`

C

`{:((a),(b),(c),"(d)"),(T,T,F,F):}`

D

`{:((a),(b),(c),"(d)"),(T,F,T,F):}`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we will evaluate each statement one by one and determine whether they are true (T) or false (F). ### Step-by-Step Solution: **(a)** A quadrilateral is a five-sided polygon. - A quadrilateral is defined as a polygon with **four sides**. Therefore, this statement is **false**. **Answer:** F **(b)** All the four sides of a rhombus are equal. - A rhombus is a type of quadrilateral where all four sides are indeed equal in length. Thus, this statement is **true**. **Answer:** T **(c)** A trapezium has all angles equal. - A trapezium (or trapezoid in some regions) has only one pair of parallel sides, and the angles can vary. It is not necessary for all angles to be equal. Therefore, this statement is **false**. **Answer:** F **(d)** Half of a revolution is a straight angle. - A full revolution is 360 degrees, so half of that (180 degrees) is indeed a straight angle. Thus, this statement is **true**. **Answer:** T ### Final Answers: - (a) F - (b) T - (c) F - (d) T ### Summary: - A: F - B: T - C: F - D: T

To solve the question, we will evaluate each statement one by one and determine whether they are true (T) or false (F). ### Step-by-Step Solution: **(a)** A quadrilateral is a five-sided polygon. - A quadrilateral is defined as a polygon with **four sides**. Therefore, this statement is **false**. **Answer:** F ...
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