1. Which of the following is NOT a quadrilateral?
Answer:
Explanation:
A pentagon has five sides, while a quadrilateral has four sides.
2. The sum of all interior angles of a quadrilateral is:
Answer:
Explanation:
The sum of all interior angles of any quadrilateral is always 360°.
3. Which of the following quadrilaterals has only one pair of opposite sides parallel?
Answer:
Explanation:
A trapezium is defined as a quadrilateral with exactly one pair of parallel sides.
4. A parallelogram with all sides of equal length is called:
Answer:
Explanation:
A rhombus is a parallelogram where all four sides are of equal length.
5. Which quadrilateral has diagonals that are equal and bisect each other at right angles?
Answer:
Explanation:
In a rectangle, the diagonals are equal in length and bisect each other at right angles.
6. A quadrilateral with both pairs of opposite sides parallel but not all sides equal is:
Answer:
Explanation:
A rectangle has both pairs of opposite sides parallel and opposite sides equal, but all four sides are not necessarily equal.
7. In which of the following quadrilaterals are the diagonals perpendicular bisectors of each other?
Answer:
Explanation:
In a rhombus, the diagonals are perpendicular bisectors of each other.
8. Which quadrilateral has only one line of symmetry?
Answer:
Explanation:
A rectangle has only one line of symmetry, which is its median.
9. In a kite, the diagonals:
Answer:
Explanation:
In a kite, the diagonals are perpendicular to each other.
10. A quadrilateral with two distinct pairs of adjacent sides equal is:
Answer:
Explanation:
A kite has two distinct pairs of equal adjacent sides.
11. In which quadrilateral are opposite angles equal?
Answer:
Explanation:
In a parallelogram, opposite angles are always equal.
12. Which quadrilateral has all angles equal to 90°?
Answer:
Explanation:
Both square and rectangle have all angles equal to 90°.
13. The diagonals of which quadrilateral are equal but do not bisect each other at right angles?
Answer:
Explanation:
In a general parallelogram, the diagonals are equal but do not bisect each other at right angles.
14. Which of the following cannot have all its sides equal?
Answer:
Explanation:
A trapezium does not have all sides equal by definition.
15. In a quadrilateral, if each pair of opposite angles are equal, then it is a:
Answer:
Explanation:
If opposite angles of a quadrilateral are equal, it is a parallelogram.
16. In a rhombus, the angle between the diagonals is:
Answer:
Explanation:
The diagonals of a rhombus are perpendicular, so the angle between them is 90°.
17. A square is a type of:
Answer:
Explanation:
A square is both a kite and a parallelogram with special properties.
18. The sum of the exterior angles of any polygon is always:
Answer:
Explanation:
The sum of the exterior angles of any polygon, taken one at each vertex, is 360°.
19. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is:
Answer:
Explanation:
If the diagonals of a quadrilateral bisect each other, it is a characteristic property of a parallelogram.
20. In a rectangle, if one angle is 90°, then the other three angles are:
Answer:
Explanation:
All angles in a rectangle are 90°.