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How many diagonals does a hexagon have? (a) 9 (b) 8 (c) 2 (d) 6

The correct answer is (a) 9 Explanation The number of diagonals in a polygon of n sides is n(n – 3)/2 here n = 6 = 6 × (6... View Article

A quadrilateral whose all sides, diagonals and angles are equal is a (a) square (b) trapezium (c) rectangle (d) rhombus

The correct answer is (a) square Explanation A square is a four-sided polygon that has it’s all sides equal in length and the measure... View Article

A quadrilateral whose opposite sides and all the angles are equal is a (a) rectangle (b) parallelogram (c) square (d) rhombus

The correct answer is (a) rectangle Explanation A rectangle is a type of quadrilateral that has its parallel sides equal to each other and... View Article

A quadrilateral whose all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a __________. (a) rhombus (b) parallelogram (c) square (d) rectangle

The correct answer is (a) rhombus Explanation A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus,... View Article

If two adjacent angles of a parallelogram are (5x – 5)⁰ and (10x + 35)⁰, then the ratio of these angles is (a) 1 : 3 (b) 2 : 3 (c) 1 : 4 (d) 1 : 2

The correct answer is (a) 1 : 3 Explanation Let us consider parallelogram ABCD. Let the measures of two adjacent angles ∠A be (5x... View Article

What is the sum of all angles of a hexagon? (a) 180⁰ (b) 360⁰ (c) 540⁰ (d) 720⁰

The correct answer is (d) 720o Explanation The sum of all the interior angles of a simple n-gon = (n − 2) × 180° Or Sum = (n... View Article

What is the sum of all the angles of a pentagon? (a) 180° (b) 360⁰ (c) 540⁰ (d) 720⁰

The correct answer is (c) 540o Explanation The sum of all the interior angles of a simple n-gon = (n − 2) × 180° Or Sum = (n... View Article

How many non-overlapping triangles can we make in a n-gon (polygon having n sides), by joining the vertices? (a) n –1 (b) n –2 (c) n –3 (d) n –4

The correct answer is (b) n –2 Explanation The number of non-overlapping triangles in an n-gon = n - 2,where n= number... View Article

What is the maximum number of obtuse angles that a quadrilateral can have? (a) 1 (b) 2 (c) 3 (d) 4

The correct answer is (c) 3 Explanation As we know that, obtuse angle is an angle between 90o to 180o. From the angle sum property of... View Article

Which of the following is a property of a parallelogram? (a) Opposite sides are parallel. (b) The diagonals bisect each other at right angles. (c) The diagonals are perpendicular to each other. (d) All angles are equal.

The correct answer is (a) Opposite sides are parallel. Explanation A parallelogram is a quadrilateral that has its opposite sides parallel... View Article

Which of the following properties describe a trapezium? (a) A pair of opposite sides is parallel. (b) The diagonals bisect each other. (c) The diagonals are perpendicular to each other. (d) The diagonals are equal.

The correct answer is (a) A pair of opposite sides is parallel. Explanation A trapezium is a quadrilateral with one pair of opposite parallel... View Article

Which of the following figures do not satisfy any of the following properties? – All sides are equal. – All angles are right angles. – Opposite sides are parallel.

The correct answer is (a) P Explanation The above figure shows that trapezium do not satisfy any of the properties mentioned in the... View Article

Which of the following figures satisfy the following property? – Only one pair of sides are parallel.

The correct answer is (a) P Explanation The above figure shows that trapezium has only one pair of sides are parallel. A trapezium... View Article

Which of the following figures satisfy the following property? – Has two pairs of congruent adjacent sides.

The correct answer is (c) R Explanation A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to... View Article

Which of the following figures satisfy the following properties? – All sides are congruent. – All angles are right angles. – Opposite sides are parallel.

The correct answer is (c) R Explanation So, a square has all sides are congruent, all angles are right angles and opposite sides are... View Article

For which of the following figures, diagonals are equal? (a) Trapezium (b) Rhombus (c) Parallelogram (d) Rectangle

The correct answer is (d) Rectangle Explanation (d) Rectangle For rectangle, diagonals are equal is as shown in the figure below.... View Article

For which of the following figures, diagonals are perpendicular to each other? (a) Parallelogram (b) Kite (c) Trapezium (d) Rectangle

The correct answer is (b) Kite Explanation In kite, diagonals are perpendicular to each other is as shown in the figure below. A kite is a... View Article

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