If three angles of a quadrilateral are each equal to 75 degrees, the fourth angle is
(a) 150 degrees
(b) 135 degrees
(c) 45 degrees
(d) 75 degrees
For which of the following, diagonals bisect each other?
(a) Square
(b) Kite
(c) Trapezium
(d) Quadrilateral
For which of the following figures, all angles are equal?
(a) Rectangle
(d) Rhombus
For which of the following figures, diagonals are perpendicular to each other?
(a) Parallelogram
(d) Rectangle
For which of the following figures, diagonals are equal?
(a) Trapezium
(b) Rhombus
(c) Parallelogram
Which of the following figures satisfy the following properties?
Which of the following figures satisfy the following property?
Which of the following figures do not satisfy any of the following properties?
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.
Which of the following is a property of a parallelogram?
(a) Opposite sides are parallel.
(b) The diagonals bisect each other at right angles.
(d) All angles are equal.
What is the maximum number of obtuse angles that a quadrilateral can have?
(a) 1 (b) 2 (c) 3 (d) 4
How many non-overlapping triangles can we make in an n-gon (polygon having n sides), by joining the vertices?
(a) n –1 (b) n –2 (c) n –3 (d) n –4
What is the sum of all the angles of a pentagon?
(a) 180°
(b) 360°
(c) 540°
(d) 720°
What is the sum of all angles of a hexagon?
(a) 180 degrees
(b) 360 degrees
(c) 540 degrees
(d) 720 degrees
If two adjacent angles of a parallelogram are (5x – 5) degrees and (10x + 35) degrees, then the the ratio of these angles is:
(a) 1 : 3
(b) 2 : 3
(c) 1 : 4
(d) 1 : 2
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
A quadrilateral whose opposite sides and all the angles are equal is a
(a) rectangle
(d) rhombus
A quadrilateral whose all sides, diagonals and angles are equal is a (a) square
(b) trapezium
(c) rectangle
How many diagonals does a hexagon have?
(a) 9 (b) 8 (c) 2 (d) 6
If the adjacent sides of a parallelogram are equal then the parallelogram is a
(c) rhombus
(d) square
If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a
(a) rhombus (b) rectangle (c) square (d) parallelogram
The sum of all exterior angles of a triangle is
Which of the following is an equiangular and equilateral polygon?
(a) Square (b) Rectangle (c) Rhombus (d) Right triangle
Which one has all the properties of a kite and a parallelogram?
(a) Trapezium (b) Rhombus (c) Rectangle (d) Parallelogram
The angles of a quadrilateral are in the ratio 1: 2 : 3: 4. The smallest angle is
(a) 72 degrees
(b) 144 degrees
(c) 36 degrees
(d) 18 degrees
In the trapezium ABCD, the measure of ∠D is
(a) 55 degrees
(b) 115 degrees
(c) 135 degrees
(d) 125 degrees
A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle is
(b) 120 degrees
(c) 105 degrees
(d) 140 degrees
The number of sides of a regular polygon where each exterior angle has a measure of 45 degrees is
(a) 8 (b) 10 (c) 4 (d) 6
In a parallelogram PQRS, if ∠P = 60 degrees, then the other three angles are
(a) 45 degrees, 135 degrees, 120 degrees
(b) 60 degrees, 120 degrees, 120 degrees
(c) 60degrees , 135 degrees, 135 degrees
(d) 45 degrees, 135 degrees, 135 degrees
If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are:
(a) 72^{\circ}, 108^{\circ} (b) 36^{\circ}, 54^{\circ} (c) 80^{\circ}, 120^{\circ} (d) 96^{\circ}, 144^{\circ}
If PQRS is a parallelogram, then ∠P – ∠R is equal to
(a) 60 degrees
(b) 90 degrees
(c) 80 degrees
(d) 0 degrees
The sum of adjacent angles of a parallelogram is
(c) 360 degrees
(d) 90 degrees
The angle between the two altitudes of a parallelogram through the same vertex of an obtuse angle of the parallelogram is 30°. The measure of the obtuse angle is
(a) 100 degrees
(b) 150 degrees
(d) 120 degrees
In the given figure, ABCD and BDCE are parallelograms with a common base DC. If BC ⊥ BD, then ∠BEC =
(b) 30 degrees
(c) 150 degrees
Length of one of the diagonals of a rectangle whose sides are 10 cm and 24 cm is
(a) 25 cm (b) 20 cm (c) 26 cm (d) 3.5 cm
If the adjacent angles of a parallelogram are equal, then the parallelogram is a
(a) rectangle (b) trapezium (c) rhombus (d) any of the three
Which of the following can be four interior angles of a quadrilateral?
\begin{array}{ll} \text { (a) } 140^{\circ}, 40^{\circ}, 20^{\circ}, 160^{\circ} \text { (b) } 270^{\circ}, 150^{\circ}, 30^{\circ}, 20^{\circ} \\ \begin{array}{ll} \text { (c) } 40^{\circ}, 70^{\circ}, 90^{\circ}, 60^{\circ} & \text { (d) } 110^{\circ}, 40^{\circ}, 30^{\circ}, 180^{\circ} \end{array} \end{array}
The sum of angles of a concave quadrilateral is
(a) more than 360 degrees
(b) less than 360 degrees
(c) equal to 360 degrees
(d) twice of 360 degrees
Which of the following can never be the measure of an exterior angle of a regular polygon?
(a) 22 degrees
(b) 36 degrees
(d) 30 degrees
In the figure, BEST is a rhombus, Then the value of y – x is
(a) 40 degrees
(b) 50 degrees
(c) 20 degrees
(d) 10 degrees
The closed curve which is also a polygon is
Which of the following is not true for an exterior angle of a regular polygon with n sides?
(a) Each exterior angle = 360o/n
(b) Exterior angle = 180o – interior angle
(c) n = 360o / exterior angle
(d) Each exterior angle = ((n – 2) × 180o)/n)
PQRS is a square. PR and SQ intersect at O. Then ∠POQ is a
(a) Right angle (b) Straight angle
(c) Reflex angle (d) Complete angle
Two adjacent angles of a parallelogram are in the ratio 1:5. Then all the angles of the parallelogram is:
(a) 30^{\circ}, 150^{\circ}, 30^{\circ}, 150^{\circ} (b) 85^{\circ}, 95^{\circ}, 85^{\circ}, 95^{\circ} (c) 45^{\circ}, 135^{\circ}, 45^{\circ}, 135^{\circ} (d) 30^{\circ}, 180^{\circ}, 30^{\circ}, 180^{\circ}
A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and ∠PQR = 90 degrees. Then PQRS is a
(a) square (b) rectangle (c) rhombus (d) trapezium
The angles P, Q, R and S of a quadrilateral are in the ratio 1:3:7:9. Then PQRS is a
(a) parallelogram (b) trapezium with PQ || RS
(c) trapezium with QR||PS (d) kite
PQRS is a trapezium in which PQ||SR and ∠P=130°, ∠Q=110°. Then ∠R is equal to:
(a) 70^{\circ} (b) 50^{\circ} (c) 65^{\circ} (d) 55^{\circ}
The number of sides of a regular polygon whose each interior angle is of 135 degrees is
(a) 6 (b) 7 (c) 8 (d) 9
If a diagonal of a quadrilateral bisect both the angles, then it is a
(a) kite
To construct a unique parallelogram, the minimum number of measurements required is
(a) 2 (b) 3 (c) 4 (d) 5
To construct a unique rectangle, the minimum number of measurements required is
(a) 4 (b) 3 (c) 2 (d) 1
In quadrilateral HOPE, the pairs of opposite sides are __________.
In quadrilateral ROPE, the pairs of adjacent angles are __________.
In quadrilateral WXYZ, the pairs of opposite angles are __________.
The diagonals of the quadrilateral DEFG are __________ and __________.
The sum of all __________ of a quadrilateral is 360 degrees.
The measure of each exterior angle of a regular pentagon is __________.
Sum of the angles of a hexagon is __________.
The measure of each exterior angle of a regular polygon of 18 sides is __________.
The number of sides of a regular polygon, where each exterior angle has a measure of 36 degree, is __________.
is a closed curve entirely made up of line segments. The another name for this shape is __________.
A quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure is __________.
The measure of each angle of a regular pentagon is __________.
The name of three-sided regular polygon is __________.
The number of diagonals in a hexagon is __________.
A polygon is a simple closed curve made up of only __________.
A regular polygon is a polygon whose all sides are equal and all __________ are equal.
The sum of interior angles of a polygon of n sides is __________right angles.
The sum of all exterior angles of a polygon is __________.
__________ is a regular quadrilateral.
A quadrilateral in which a pair of opposite sides is parallel is __________.
If all sides of a quadrilateral are equal, it is a __________.
In a rhombus diagonals intersect at __________ angles.
__________ measurements can determine a quadrilateral uniquely.
A quadrilateral can be constructed uniquely if its three sides and __________ angles are given.
A rhombus is a parallelogram in which __________ sides are equal.
The measure of __________ angle of the concave quadrilateral is more than 180 degrees.
A diagonal of a quadrilateral is a line segment that joins two __________ vertices of the quadrilateral.
The number of sides in a regular polygon having the measure of an exterior angle as 72 degrees is __________.
If the diagonals of a quadrilateral bisect each other, it is a __________.
The adjacent sides of a parallelogram are 5 cm and 9 cm. Its perimeter is __.
A nonagon has __________ sides.
Diagonals of a rectangle are __________.
A polygon having 10 sides is known as __________.
A rectangle whose adjacent sides are equal becomes a __________.
If one diagonal of a rectangle is 6 cm long, length of the other diagonal is __.
Adjacent angles of a parallelogram are __________.
If only one diagonal of a quadrilateral bisects the other, then the quadrilateral is known as __________.
In trapezium ABCD with AB||CD, if ∠A = 100 degrees, then ∠D = __________.
The polygon in which sum of all exterior angles is equal to the sum of interior angles is called __________.
All angles of a trapezium are equal.
All squares are rectangles.
All kites are squares.
All rectangles are parallelograms
All rhombuses are squares.
Sum of all the angles of a quadrilateral is 180 degrees.
A quadrilateral has two diagonals.
Triangle is a polygon whose sum of exterior angles is double the sum of interior angles.
is a polygon.
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