Assertion and Reason for Ch 5 Introduction to Euclid's Geometry Class 9 Math
Important QuestionsA
Directions : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Answer
(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): Given two distinct points, there is a unique line that passes through them.
Reason (R): If A B, and C are three points on a line and B lies between A and C then AB + BC = AC .
Reason (R): If A B, and C are three points on a line and B lies between A and C then AB + BC = AC .
Answer
(b) Both assertion and reason are true but reason is not the correct explanation of assertion.
AB + BC = AC
2
Assertion (A): If lines AB, AC, AD and AE are parallel to line l, the point A, B, C, D, E are collinear.
Reason (R): One and only one line can be drawn through A and parallel to l.
Reason (R): One and only one line can be drawn through A and parallel to l.
Answer
(a) Both assertion and reason are true and reason is the correct explanation of assertion.
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.