Question

Write the sentence as a conditional statement. Two parallel lines lie in the same plane. If two lines are parallel, then the lines lie in the same plane. If two lines lie in the same plane, then the lines are parallel.

Answer 1

The conditional statement is:

• If two lines are parallel then they lie in the same plane.

Explanation:

We know that a conditional statement is the statement which is written in the form of:

If p then q i.e. p → q

where p is the hypothesis of the statement.

and q is the conclusion of the statement which is based on the hypothesis.

Here we are given a statement as:

Two parallel lines lie in the same plane.

i.e. the hypothesis of the conditional statement is:

Two lines are parallel.

and conclusion is: They will lie in the same plane

( Because if two lines lie in the same plane then we can't conclude that they will be parallel )