Question

From the following figure, how many ways can you show that lines l and m are parallel? At least 4 ways One way Two ways Three ways

Answer 1

You can show it 4 ways by rotating the paper and if that is not an option, then the answer is 2.

Answer 2

The correct answer is: At least 4 ways.

At least 4 ways.

Explanation:

There are 4 basic ways of showing that two lines are parallel.

• Show that corresponding angles are equal.

• Show that alternative interior angles are equal.

• Show that consecutive interior angles are supplementary.

Show that consecutive exterior angles are supplementary.

Clearly from the figure we can show the first four properties easily.

Hence, the answer is:

At least 4 ways.