Q 1 – What is the number of sides of a triangle?
(a) 1
(b) 2
(c) 3
(d) 4
Ans. (c) 3
Q 2 – Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?
(a) square
(b) rhombus
(c) kite
(d) rectangle
Ans. (c) kite
Q 3 – What is the number of vertices of a triangle?
(a) 1
(b) 2
(c) 3
(d) 4
Ans. (c) 3
Q 4 – Which one of the following is a regular quadrilateral?
(a) Square
(b) Trapezium
(c) Kite
(d) Rectangle
Ans. (a) Square
Q 5 – What is the number of sides of a quadrilateral?
(a) 1
(b) 2
(c) 3
(d) 4
Ans. (d) 4
Q 6 – A _______ is both ‘equiangular’ and ‘equilateral’.
(a) regular polygon
(b) triangle
(c) quadrilateral
(d) none of these
Ans. (a) regular polygon
Q 7 – How many diagonals does a quadrilateral have?
(a) 1
(b) 2
(c) 3
(d) 4
Ans. (b) 2
Q 8 – The perimeter of a parallelogram is180 cm. If one side exceeds the other by 10 cm, what are the sides of the parallelogram?
(a) 40 cm, 50 cm
(b) 45 cm each
(c) 50 cm each
(d) 45 cm, 50 cm
Ans. (a) 40 cm, 50 cm
Q 9 – The sum of the measures of all the three angles of a triangle is
la) 90°
(b) 180°
(c) 360°
(d) 720°
Ans. (b) 180°
Q 10 – The ________ of a rhombus are perpendicular bisectors of one another.
(a) angles
(b) sides
(c) diagonals
(d) none of these
Ans. (c) diagonals
Q 11 – The sum of the measures of all the four angles of a quadrilateral is
(a) 90°
(b) 180°
(c) 360°
(d) 720°
Ans. (c) 360°
Q 12 – How many diagonals does a triangle have?
(a) 0
(b) 1
(c) 2
(d) 4
Ans. (a) 0
Q 13 – If ABCD is an isosceles trapezium, what is the measure of ∠C?
(a) ∠B
(b) ∠A
(c) ∠D
(d) 90°
Ans. (c) ∠D
Q 14 – In the quadrilateral ABCD, the diagonals AC and BD are equal and perpendicular to each other. What type of a quadrilateral is
ABCD?
(a) A square
(b) A parallelogram
(c) A rhombus
(d) A trapezium
Ans. (a) A square
Q 15 – How many diagonals does a regular hexagon have?
(a) 2
(b) 0
(c) 4
(d) 9
Ans. (d) 9
Q 16 – What do you call a parallelogram which has equal diagonals?
(a) A trapezium
(b) A rectangle
(c) A rhombus
(d) A kite
Ans. (b) A rectangle
Q 17 – The angle sum of a convex polygon with number of sides n is
(a) (n – 2) 180°
(b) (n + 2) 180°
(c) (2n – 4) 180°
(d) (2n + 4) 180°
Ans. (a) (n – 2) 180°
Q 18 – The angle sum of a convex polygon with a number of sides 8 is
(a) 720°
(b) 900°
(c) 1080°
(d) 1440°.
Ans. (c) 1080°
Q 19 – What is the name of a regular polygon of 6 sides
(a) Square
(b) Equilateral triangle
(c) Regular hexagon
(d) Regular Octagon
Ans. (c) Regular hexagon
Q 20 – The angle sum of a convex polygon with number of sides 10 is
(a ) 720°
(b) 900°
(c) 1080°
(d) 1440°
Ans. (d) 1440°
Q 21 – In an isosceles parallelogram, we have
(a) pair of parallel sides equal
(b) pair of non-parallel sides equal
(c) pair of non-parallel sides as perpendicular
(d) none of these.
Ans. (d) none of these.
Q 22 – In a parallelogram ∠A : ∠B = 1 : 2. Then, ∠A =
(a) 30°
(b) 60°
(c) 45°
(d) 90°
Ans. (b) 60°
Q 23 – Which of the following is true for the adjacent angles of a Parallelogram?
(a) They are equal to each other
(b) They are complementary angle,
(c) They are supplementary angles
(d) None of these
Ans. (c) They are supplementary angles
Q 24 – Which of the following is the sum of an exterior angle and its adjacent interior angle?
(a) A straight angle
(b) A right angle
(c) A complete angle
(d) Reflex angle
Ans. (a) A straight angle
Q 25 – What is the name of a regular polygon of 3 sides?
(a) Equilateral triangle
(b) Square
(c) Regular hexagon
(d) Regular octagon
Ans. (a) Equilateral triangle
Q 26 – What is the name of a regular polygon of 6 sides?
(a) Square
(b) Equilateral triangle
(c) Regular hexagon
(d) Regular octagon
Ans. (c) Regular hexagon
Q 27 – What is the name of a regular polygon of 4 sides?
(a) Regular hexagon
(b) Regular octagon
(c) Square
(d) Equilateral triangle
Ans. (c) Square
Q 28 – The sum of the measures of the exterior angles of any polygon is
(a) 90°
(b) 180°
(c) 360°
(d) 720°.
Ans. (c) 360°
Q 29 – The measures of the three angles of a quadrilateral are 65°, 75°, and 85°. The measure of the fourth angle is
(a) 65°
(b) 75°
(c) 85°
(d) 135°
Ans. (d) 135°
Q 30 – Out of the three equal angles of a quadrilateral, each measures 70°. The measure of the fourth angle is
(a) 90°
(b) 140°
(c) 150°
(d) 70°
Ans. (c) 150°
Q 31 – Two adjacent angles of a quadrilateral measure 130° and 40°. The sum of the remaining two angles is
(a) 190°
(b) 180°
(c) 360°
(d) 90°
Ans. (a) 190°
Q 32 – The measure of each exterior angle of a regular polygon of 9 sides is
(a) 30°
(b) 40°
(c) 60°
(d) 45°
Ans. (b) 40°
Q 33 – How many sides does a regular polygon have if the measure of an exterior angle is 24°?
(a) 6
(b) 9
(c) 15
(d) 12.
Ans. (c) 15
Q 34 – The four angles of a pentagon are 40°, 75°, 125° and 135°. The measure of the fifth angle is
(a) 165°
(b) 170°
(c) 160°
(d) 175°
Ans. (a)
Hint:
n = 5, (n – 2) 180° = (5 – 2) 180° = 540°
Fifth angle
= 540° – (40° + 75° + 125° + 135°)
= 540° – 375° = 165°.
Q 35 – Which of the following statements is false ?
(a) All the angles of a rectangle are equal
(b) No angle of a rectangle can be obtuse
(c) The diagonals of a rectangle bisect each other
(d) The opposite sides of a rectangle are not equal.
Ans. (d) The opposite sides of a rectangle are not equal.
Q 36 – Which of the following statement is false?
(a) All the rectangles are parallelograms
(b) All the squares are rectangles
(c) All the parallelograms are rectangles
(d)All the rhombuses are parallelograms.
Ans. (c) All the parallelograms are rectangles
Q 37 – Which of the following statement is true ?
(a) All the rhombuses are squares
(b) Each square is a parallelogram
(c) Each parallelogram is a square
(d) Each trapezium is a parallelogram.
Ans. (b) Each square is a parallelogram
Q 38 – Two adjacent sides of a rectangle are equal. The name of the quadrilateral is
(a) square
(b) kite
(c) rhombus
(d) none of these.
Ans. (a) square
Q 39 – If ∠A of a parallelogram ABCD is of 60°, then the measure of the opposite angle ∠C is
(a) 60°
(b) 120°
(c) 30°
(d) none of these
Ans. (a) 60°
Q 40 – If the length of a side of a rhombus is 6 cm, then the perimeter of the rhombus is
(a) 6 cm
(b) 12 cm
(c) 24 cm
(d) 3 cm.
Ans. (c) 24 cm
Q 41 – In a kite, what is false?
(a) The diagonals are perpendicular to each other
(b) The diagonals bisect each other
(c) Only one pair of opposite angles is equal
(d) All four sides are equal.
Ans. (d) All four sides are equal.