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Assertion and Reason Questions Class 8 Maths Chapter 3 Understanding Quadrilaterals
1.) Assertion (A) – The number of sides of a triangle is 3
Reason (R) – A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.
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) – The number of vertices of a triangle is 2
Reason (R) – A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.
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 number of sides of a quadrilateral is 4
Reason (R) – In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)
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 number of vertices of a quadrilateral is 4
Reason (R) – In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)
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) – Diagonals does a quadrilateral have are 2.
Reason (R) – In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)
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) – The sum of the measures of all the three angles of a triangle is 180`.
Reason (R) – A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry
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) – The sum of the measures of all the four angles of a quadrilateral is 360`
Reason (R) – In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)
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) – Triangle have 1 diagonal.
Reason (R) – A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry
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) – Diagonals does a regular hexagon have are 9
Reason (R) – a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles
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 angle sum of a convex polygon with number of sides 7 is 900`.
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
11.) Assertion (A) – The angle sum of a convex polygon with number of sides 8 is 1080`.
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
12.) Assertion (A) – The angle sum of a convex polygon with number of sides 10 is 1440`.
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
13.) Assertion (A) – The angle sum of a convex polygon with number of sides n is (n – 2) 180°
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
14.) Assertion (A) – Equilateral triangle is a regular polygon with 3 sides.
Reason (R) – a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides 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
15.) Assertion (A) – Regular octagon is a regular polygon of 6 sides.
Reason (R) – a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides 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
16.) Assertion (A) – The sum of the measures of the exterior angles of any polygon is 360`.
Reason (R) – The formula for calculating the size of an exterior angle in a regular 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
17.) Assertion (A) – The measures of the three angles of a quadrilateral are 65°, 75° and 85°. The measure of the fourth angle is 135`.
Reason (R) – The formula for calculating the size of an exterior angle in a regular 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
18.) Assertion (A) – The measures of each of the four angles of a quadrilateral are equal.
Reason (R) – In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)
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) – Out of the three equal angles of a quadrilateral, each measures 70°. The measure of the fourth angle is 150`.
Reason (R) – In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices)
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) – The measures of two angles of a quadrilateral are 110° and 100″. The remaining two angles are equal. The measure of each of the remaining two angles is 45`.
Reason (R) – Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior 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
21.) Assertion (A) – The measure of each exterior angle of a regular polygon of 9 sides is 40`
Reason (R) – Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior 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
22.) Assertion (A) – The four angles of a pentagon are 40°, 75°, 125° and 135°. The measure of the fifth angle is 155`.
Reason (R) – Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior 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
23.) Assertion (A) – The sum of the internal angles of a polygon is 10 right angles. Then the number of sides is 7
Reason (R) – Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior 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
24.) Assertion (A) – All the angles of a rectangle are equal.
Reason (R) – The opposite sides of a rectangle are not 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
25.) Assertion (A) – The diagonals of a square bisect each other at right angles
Reason (R) – The diagonals of a square do not divide the whole square into four equal parts.
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
26.) Assertion (A) – All the parallelograms are rectangles
Reason (R) – All the rhombuses are parallelograms.
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
27.) Assertion (A) – All the squares are rhombuses
Reason (R) – All the parallelograms are rhombuses
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
28.) Assertion (A) – Each parallelogram is a square
Reason (R) – Each square is a parallelogram
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
29.) Assertion (A) – One angle of a parallelogram is a right angle. The name of the quadrilateral is rectangle.
Reason (R) – a rectangle is a quadrilateral with four right angles
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
30.) Assertion (A) – Two adjacent sides of a rectangle are equal. The name of the quadrilateral is square
Reason (R) – a square is a quadrilateral with four right angles
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:a 2:d 3:a 4:a 5:b 6:b
7:a 8:d 9:a 10:b 11:b 12:b
13:b 14:a 15:d 16:a 17:b 18:a
19:b 20:d 21:a 22:d 23:b 24:c
25:c 26:d 27:c 28:d 29:a 30:b