Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true
1.) Assertion: a, b and c are the lengths of three sides of a triangle, then a+b > c
Reason: The sum of two sides of a triangle is always greater than the third side.
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
2) Assertion: The side lengths 4cm, 4cm and 4cm can be sides of equilateral triangle
Reason: : Equilateral triangle has all its three sides equal
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
3) Assertion: To construct an angle of 60 degrees, we need to draw first a ray
Reason: To construct an angle of 60 degrees we need to start at the initial point of a ray.
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
4) Assertion: The construction of a triangle ABC in which AB = 4 cm, ∠A = 60° is not possible when the difference of BC and AC is equal to 4.5
Reason: the difference of any two sides of a triangle cannot be greater than the third side.
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
5) Assertion: The side length of 2 cm, 3 cm, and 4 cm can be the sides of Scalene triangle
Reason: the sides of a scalene triangle, as all the sides have different measurements.
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: a) both Assertion and reason are correct and reason is correct explanation for Assertion.
6) Assertion: The internal and external bisectors of an angle forms a right angle
Reason: the bisector always divides an angle in two equal parts.
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: c) Assertion is true but reason is false
7) Assertion: bisector of angle divide the angle in two equal parts.
Reason: Every angle has an angle bisector.
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for the Assertion
8) Assertion: All the points of angle bisector are equidistant from both the arms of the angle
Reason: An angle bisector can be drawn to any angle, such as acute, obtuse, or right angle
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for the Assertion
9) Assertion: The perpendicular bisector of the line is Perpendicular to the line
Reason: Perpendicular bisector passes through the midpoint of a line segment.
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for the Assertion
10) Assertion: The starting point of the ray is called vertex
Reason: A ray does not have a height or width
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for the Assertion
11) Assertion: When two lines crosses each other at a common point then this lines are called intersecting line.
Reason: Intersecting lines meet at a single point, they can meet at more than one point.
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d both Assertion and reason are false
Ans: c) Assertion is true but reason is false
12) Assertion: Intersecting lines meet at a single point, they cannot meet at more than one point.
Reason: When two lines crosses each other at a common point then this lines are called intersecting line
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d) both Assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
13) Assertion: When two straight lines intersect each other at a right angle in a common point then that lines are called as perpendicular line
Reason: The angle between any two perpendicular lines is always equal to 90. °
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d) both Assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
14) Assertion: The lines which do not intersect each other and can be extended to infinity in a plane then this lines are called as parallel lines.
Reason: The parallel lines meet at the point of infinity.
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d) both Assertion and reason are false
Ans: b) both Assertion and reason are correct but reason is not correct explanation for Assertion
15) Assertion: The lines which are not parallel and also does not intersect are called as skew line.
Reason: Lines that are non-intersecting, non-parallel, and non-coplanar are skew lines.
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is true but reason is false
d) both Assertion and reason are false
Ans: b)
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