Class 9 Maths Chapter 5 Assertion and Reason Questions - Introduction To Euclid’s Geometry

Direction: In each of the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer.  

Q1: Assertion: Given two distinct points, there is a unique line that passes through them.
Reason: If A B, and C are three points on a line and B lies between A and C then AB + BC + AC.
(a) Both assertion and reason are true and reason is the correct explanation of assertion.
(b) Both assertion and reason are true but reason is not the correct explanation of assertion.
(c) Assertion is true but reason is false.
(d) Assertion is false but reason is true.
Ans: (b)
AB + BC = AC

Q2: Assertion : If lines AB, AC, AD and AE are parallel to line l , the point A, B, C, D, E are collinear.
Reason: One and only one line can be drawn through A and parallel to l. 
(a) Both assertion and reason are true and reason is the correct explanation of assertion.
(b) Both assertion and reason are true but reason is not the correct explanation of assertion.
(c) Assertion is true but reason is false.
(d) Assertion is false but reason is true. 
Ans: (a)
Through a point not on the line l, one and only one line can be parallel to l.
So through A; AB, AC, AD and AE are all parallel to l means they all should coincide. A, B, C, D, E should be collinear.

Q3: Assertion: A figure formed of line segments only is called a rectilinear figure.
Reason: A circle is a rectilinear figure.
(a) Both assertion and reason are true and reason is the correct explanation of assertion.
(b) Both assertion and reason are true but reason is not the correct explanation of assertion.
(c) Assertion is true but reason is false.
(d) Assertion is false but reason is true. 
Ans: (c)

Q4: Assertion: The line drawn from the center of the circle to any point on its circumference is called radius of a circle
Reason: the line from any point on the circumference of the circle to the center of the circle is known as diameter of a circle 
(a) Both assertion and reason are true and reason is the correct explanation of assertion.
(b) Both assertion and reason are true but reason is not the correct explanation of assertion.
(c) Assertion is true but reason is false.
(d) Assertion is false but reason is true. 
Ans: (c)

Q5: Assertion: it is given that AD = BC. Then AC = BD
Reason: above line we can prove by Euclid axiom 3 If equals are subtracted from equal., the remainders are equal." 
(a) Both assertion and reason are true and reason is the correct explanation of assertion.
(b) Both assertion and reason are true but reason is not the correct explanation of assertion.
(c) Assertion is true but reason is false.
(d) Assertion is false but reason is true.
Ans: (a)