Identifying parallel and perpendicular pnes

Parallel pnes − If two pnes are equidistant from each other extending indefinitely in both directions, then they are said to be parallel to each other. Parallel pnes do not intersect each other.

Perpendicular pnes − If two pnes intersect each other at right angles, they are called perpendicular pnes.

Rules to identify parallel and perpendicular pnes

When identifying parallel pnes we see if the two pnes are equidistant from each other and if this condition is satisfied, they are parallel to each other and they are parallel pnes.

When identifying perpendicular pnes, we first see if the pnes intersect. If the pnes intersect, we see if they intersect at right angles. Then they are perpendicular to each other and are perpendicular pnes.

Use parallel or perpendicular to describe the following pnes.

Solution

Step 1:

Given pnes intersect each other at right angles. They are perpendicular to each other.

Step 2:

So the given pnes are perpendicular pnes.

Use parallel or perpendicular to describe the following pnes.

Solution

Step 1:

Given pnes do not intersect and are equidistant from each other. They are parallel to each other.

Step 2:

So the given pnes are parallel pnes.