Two distinct intersecting lines cannot be parallel to the same line. Is the given statement true or false? Justify your answer

Solution:

We know that

Intersecting lines cannot be parallel

Therefore, the statement is true.

✦ Try This: Solve the equation a - 4 = 16 and state which axiom do you use here.

Given, the equation is a - 4 = 16

We have to solve the equation and state which axiom is used here.

Using Euclid’s second axiom,

If equals are added to the equals, the wholes are equal.

On adding 4 on both the sides of the equation,

a - 4 + 4 = 16 + 4

a = 16 + 4

a = 20

Therefore, the solution of the equation is a = 20.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 5

NCERT Exemplar Class 9 Maths Exercise 5.2 Problem 8

Two distinct intersecting lines cannot be parallel to the same line. Is the given statement true or false? Justify your answer

Summary:

The statement “Two distinct intersecting lines cannot be parallel to the same line” is true

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