Q.1 What is the sum of interior angles of a quadrilateral?
180°
270°
360°
540°
Explanation - The sum of interior angles of any polygon is (n-2) × 180°. For a quadrilateral (n=4), (4-2) × 180° = 360°.
Correct answer is: 360°
Q.2 A polygon with 8 sides is called a:
Hexagon
Heptagon
Octagon
Nonagon
Explanation - A polygon with 8 sides is an Octagon.
Correct answer is: Octagon
Q.3 Which quadrilateral has exactly one pair of parallel sides?
Rectangle
Rhombus
Trapezium
Square
Explanation - A trapezium has one pair of parallel sides, unlike rectangles or squares which have two pairs.
Correct answer is: Trapezium
Q.4 The diagonals of a rhombus:
Are equal
Bisect each other at right angles
Do not bisect each other
Are parallel
Explanation - In a rhombus, diagonals bisect each other at 90°.
Correct answer is: Bisect each other at right angles
Q.5 What is the sum of exterior angles of any polygon?
180°
360°
540°
720°
Explanation - The sum of exterior angles of any polygon is always 360°, regardless of the number of sides.
Correct answer is: 360°
Q.6 Which quadrilateral has diagonals that are equal and bisect each other?
Parallelogram
Rhombus
Rectangle
Trapezium
Explanation - In a rectangle, diagonals are equal and bisect each other.
Correct answer is: Rectangle
Q.7 A polygon with 12 sides is called a:
Dodecagon
Decagon
Undecagon
Nonagon
Explanation - A polygon with 12 sides is a Dodecagon.
Correct answer is: Dodecagon
Q.8 In a square, the diagonals:
Are equal and perpendicular
Are equal but not perpendicular
Are unequal and perpendicular
Do not bisect each other
Explanation - The diagonals of a square are equal in length and intersect at 90°.
Correct answer is: Are equal and perpendicular
Q.9 The number of diagonals in a pentagon is:
5
10
15
20
Explanation - The number of diagonals in an n-sided polygon is n(n-3)/2. For n=5, diagonals = 5×2/2 = 5.
Correct answer is: 5
Q.10 Which quadrilateral always has four right angles?
Rhombus
Trapezium
Rectangle
Parallelogram
Explanation - A rectangle is defined as a quadrilateral with four right angles.
Correct answer is: Rectangle
Q.11 What is the measure of each interior angle of a regular hexagon?
90°
120°
135°
150°
Explanation - Each angle = (n-2) × 180° / n. For hexagon, (6-2)×180°/6 = 120°.
Correct answer is: 120°
Q.12 Which quadrilateral has all sides equal and all angles equal?
Rhombus
Square
Rectangle
Parallelogram
Explanation - A square has equal sides and four right angles.
Correct answer is: Square
Q.13 The diagonals of a parallelogram:
Are equal
Bisect each other
Are perpendicular
Do not bisect each other
Explanation - In a parallelogram, diagonals bisect each other but are not always equal.
Correct answer is: Bisect each other
Q.14 A polygon with 20 sides is called:
Decagon
Icosagon
Dodecagon
Nonadecagon
Explanation - A polygon with 20 sides is an Icosagon.
Correct answer is: Icosagon
Q.15 What is the number of sides of a polygon if each interior angle is 150°?
10
12
15
18
Explanation - Each angle = (n-2)×180°/n = 150°. Solving gives n=12.
Correct answer is: 12
Q.16 Which quadrilateral is both a rectangle and a rhombus?
Parallelogram
Square
Trapezium
Kite
Explanation - A square has equal sides (like a rhombus) and right angles (like a rectangle).
Correct answer is: Square
Q.17 The number of diagonals in a decagon is:
35
40
45
50
Explanation - Formula: n(n-3)/2. For n=10, diagonals = 10×7/2 = 35.
Correct answer is: 35
Q.18 The sum of interior angles of a pentagon is:
360°
450°
540°
720°
Explanation - Sum = (n-2)×180°. For n=5, sum = 3×180° = 540°.
Correct answer is: 540°
Q.19 Which polygon is used in a soccer ball design along with pentagons?
Hexagon
Octagon
Nonagon
Decagon
Explanation - Soccer balls are made of pentagons and hexagons.
Correct answer is: Hexagon
Q.20 A kite has:
Two pairs of adjacent equal sides
Two pairs of opposite equal sides
All sides equal
No equal sides
Explanation - A kite has two distinct pairs of adjacent sides that are equal.
Correct answer is: Two pairs of adjacent equal sides
Q.21 If all angles of a polygon are 135°, how many sides does it have?
8
9
10
12
Explanation - Each angle = (n-2)×180°/n = 135°. Solving gives n=8.
Correct answer is: 8
Q.22 What is the measure of each exterior angle of a regular decagon?
18°
30°
36°
45°
Explanation - Exterior angle = 360°/n. For n=10, angle = 36°.
Correct answer is: 36°
Q.23 The diagonals of which quadrilateral are perpendicular but not equal?
Square
Rhombus
Rectangle
Parallelogram
Explanation - In a rhombus, diagonals intersect at right angles but are not equal unless it’s a square.
Correct answer is: Rhombus
Q.24 How many diagonals does a hexagon have?
6
9
12
15
Explanation - Formula: n(n-3)/2. For n=6, diagonals = 6×3/2 = 9.
Correct answer is: 9
Q.25 In a parallelogram, opposite sides are:
Unequal
Parallel and equal
Only parallel
Only equal
Explanation - A parallelogram has both pairs of opposite sides parallel and equal in length.
Correct answer is: Parallel and equal