Archives

The measure of each exterior angle of a regular polygon of 18 sides is __________.

The measure of each exterior angle of a regular polygon of 18 sides is 20o. Explanation We know that the measure of each exterior angle of a... View Article

Sum of the angles of a hexagon is __________.

The sum of the angles of a hexagon is 720o. Explanation We know that the sum of all the angles of a polygon is (n – 2) × 180o.... View Article

The measure of each exterior angle of a regular pentagon is __________.

The measure of each exterior angle of a regular pentagon is 72o. Explanation The measure of each exterior angle of a regular pentagon is... View Article

The sum of all __________ of a quadrilateral is 360⁰.

The sum of all angles of a quadrilateral is 360o. Explanation From the angle sum property of quadrilateral we know that sum of interior... View Article

The diagonals of the quadrilateral DEFG are and .

The diagonals of the quadrilateral DEFG are DF and EG. Explanation The quadrilateral DEFG is shown in the figure above. From the figure,... View Article

In quadrilateral WXYZ, the pairs of opposite angles are __________.

In quadrilateral ROPE, the pairs of adjacent angles are ∠W and ∠Y, ∠X and ∠Z. Explanation The quadrilateral WXYZ is shown... View Article

In quadrilateral ROPE, the pairs of adjacent angles are __________.

In quadrilateral ROPE, the pairs of adjacent angles are ∠R, ∠O; ∠O, ∠P; ∠P, ∠E; ∠E, ∠R Explanation The... View Article

In quadrilateral HOPE, the pairs of opposite sides are __________.

In quadrilateral HOPE, the pairs of opposite sides are HO and PE, HE and OP. Explanation The quadrilateral HOPE is shown in the figure above.... View Article

To construct a unique rectangle, the minimum number of measurements required is (a) 4 (b) 3 (c) 2 (d) 1

The correct answer is (c) 2 Explanation A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all four... View Article

To construct a unique parallelogram, the minimum number of measurements required is (a) 2 (b) 3 (c) 4 (d) 5

The correct answer is (b) 3 Explanation A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a... View Article

If a diagonal of a quadrilateral bisects both the angles, then it is a (a) kite (b) parallelogram (c) rhombus (d) rectangle

The correct answer is (c) rhombus Explanation Rhombus has all the properties of a kite and a parallelogram A rhombus is a special case of a... View Article

The number of sides of a regular polygon whose each interior angle is of 135² is (a) 6 (b) 7 (c) 8 (d) 9

The correct answer is (c) 8 Explanation Let us assume a number of sides of a regular polygon be n. The sum of all exterior angles of all... View Article

PQRS is a trapezium in which PQ||SR and ∠P=130°, ∠Q=110°. Then ∠R is equal to: (a) 70² (b) 50² (c) 65² (d) 55²

The correct answer is (c) trapezium with QR||PS Explanation We know that, sum of all interior angle of quadrilaterals is equal to 360o. Let us... View Article

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

The correct answer is (c) trapezium with QR||PS Explanation We know that, sum of all interior angle of quadrilaterals is equal to 360o. Let us... View Article

A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and ∠PQR = 90². Then PQRS is a (a) square (b) rectangle (c) rhombus (d) trapezium

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

Two adjacent angles of a parallelogram are in the ratio 1:5. Then all the angles of the parallelogram are (a) 30², 150², 30², 150² (b) 85², 95², 85², 95² (c) 45², 135², 45², 135² (d) 30², 180², 30², 180²

The correct answer is (a) 30o, 150o, 30o, 150o Explanation We know that, sum of adjacent angles of a parallelogram = 180o Let us assume two... View Article

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

The correct answer is (a) Right angle Explanation The diagonals in the square intersect each other at right angle i.e. 90o Therefore,... View Article

Which of the following is not true for an exterior angle of a regular polygon with n sides? (a) Each exterior angle = 360²/n (b) Exterior angle = 180² – interior angle (c) n = 360²/exterior angle (d) Each exterior angle = ((n – 2) × 180²)/n)

The correct answer is (d) Each exterior angle = ((n – 2) × 180o)/n) Explanation Because each exterior angle is equal to 360o/n... View Article

The closed curve which is also a polygon is

The correct answer is figure (a). Explanation The closed curve which is also a polygon is figure (a). Because there is no line segments... View Article

In the figure, BEST is a rhombus, Then the value of y – x is (a) 40² (b) 50² (c) 20² (d) 10²

The correct answer is (a) 40o Explanation From the given figure TS ∥ BE and also BS is transversal line. By the rule of alternate... View Article

M	T	W	T	F	S	S
				1	2	3
4	5	6	7	8	9	10
11	12	13	14	15	16	17
18	19	20	21	22	23	24
25	26	27	28	29	30	31