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Assertion and Reason Questions Class 8 Maths Chapter 4 Practical Geometry
1.) Assertion (A) – Decagon have 6 sides.
Reason (R) – a decagon is a ten-sided polygon or 10-gon.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
2.) Assertion (A) – 5 measurements can determine a quadrilateral uniquely
Reason (R) – A quadrilateral can be constructed uniquely if the lengths of its three sides and two diagonals are given.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
3.) Assertion (A) – The diagonals of a square are equal to each other.
Reason (R) – Opposite sides of a square are both parallel and equal in length
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
4.) Assertion (A) – The opposite angles of a parallelogram are equal.
Reason (R) – The opposite sides of a parallelogram are equal.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
5.) Assertion (A) – 360` is the sum of the measures of angles of a convex quadrilaterals
Reason (R) – We can divide any quadrilateral into two triangles
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
6.) Assertion (A) – Hexagon have 9 diagonals.
Reason (R) – a hexagon is a six-sided polygon or 6-gon.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
7.) Assertion (A) – A heptagon have 14 diagonals.
Reason (R) – a heptagon or septagon is a seven-sided polygon or 7-gon.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
8.) Assertion (A) – Minimum possible interior angle in a regular polygon is 90`.
Reason (R) – The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
9.) Assertion (A) – The diagonals of a square bisect each other at 90`.
Reason (R) – square have 4 sides.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
10.) Assertion (A) – the diagonals of a rhombus bisect each other at reflex angle.
Reason (R) – a rhombus is a quadrilateral whose four sides all have the same length.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
11.) Assertion (A) – A parallelogram each of whose angles measures 90° is trapezium.
Reason (R) – A trapezium is a quadrilateral having two parallel sides of unequal length and the other two sides are non-parallel
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
12.) Assertion (A) – The value of x in the following figure is 108`.
Reason (R) – The interior angles of a quadrilateral add up to 360°. This value is calculated from the formula given by the angle sum property of polygons.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
13.) Assertion (A) – The value of (x) in the following figure is 50`.
Reason (R) – The interior angles of a quadrilateral add up to 360°. This value is calculated from the formula given by the angle sum property of polygons.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
14.) Assertion (A) – Maximum number of right angles in a right angled triangle is 1.
Reason (R) – a concave polygon is a polygon that is the boundary of a convex set
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
15.) Assertion (A) – It is a convex polygon.
Reason (R) – a convex polygon is a polygon that is the boundary of a convex set
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
16.) Assertion (A) – The number of sides in a regular polygon is 15, then measure of each exterior angle is 24`.
Reason (R) – The sum of all the exterior angles of a quadrilateral is 360°.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
17.) Assertion (A) – The angle sum of all interior angles of a convex polygon of sides 7 is 900`.
Reason (R) – The interior angles of a quadrilateral add up to 360°. This value is calculated from the formula given by the angle sum property of polygons
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
18.) Assertion (A) – All the angles of a regular polygon are of equal measure.
Reason (R) – The sum of exterior angles of a polygon is 360°.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
19.) Assertion (A) – Polygons that have any portions of their diagonals in their exteriors are called concave polygons.
Reason (R) – A Concave polygon is a polygon that has at least one interior angle greater than 180 degrees
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
20.) Assertion (A) – A polygon with minimum number of sides is square.
Reason (R) – A square also fits the definition of a rectangle a rhombus .
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
21.) Assertion (A) – 6 measurements are required to construct a quadrilateral, uniquely.
Reason (R) – a quadrilateral has 10 elements (4 sides, 4 angles and 2 diagonals) or measurements.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
22.) Assertion (A) – To construct a quadrilateral, we need to know two diagonals and 3 sides.
Reason (R) – a quadrilateral has 10 elements (4 sides, 4 angles and 2 diagonals) or measurements.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
23.) Assertion (A) – If two diagonals and three sides are given, then any polygon can be constructed
Reason (R) – a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
24.) Assertion (A) – If two diagonals are given, then we can construct a rhombus.
Reason (R) – The two diagonals of a rhombus bisect each other at 90 degrees.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
25.) Assertion (A) – To construct a parallelogram we need to know two adjacent sides and one angle
Reason (R) – Parallelogram has its parallel sides equal. Also, if one angle is known to us, then we can determine the other angle since the two angles are supplementary.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true but R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true
ANSWERS:
1:d 2:a 3:d 4:a 5:a 6:a
7:a 8:d 9:a 10:d 11:d 12:a
13:d 14:c 15:a 16:a 17:a 18:b
19:a 20:d 21:d 22:a 23:d 24:a
25:a