Question

Match each pair of lines to the correct description

Answer 1

Answer:

Parallel lines: AB and CD                                                                Perpendicular lines: EF and CD                                                                 Neither parallel nor perpendicular: GH and EF

Step-by-step explanation:

In the given figure, some titles like parallel lines, perpendicular lines and neither parallel nor perpendicular lines are given. we have to match these titles with correct option.

Here, ∠AOF=∠COF=90°

Corresponding angles that are ∠AOF and ∠CO'F are equal. Hence the lines making these angles are parallel.

⇒ Lines AB and CD are parallel.

Now perpendicular lines, those lines which makes 90° angles with each other. In the given figure, lines AB and CD makes 90° angle with line EF.

Hence, the option which is given is EF and CD.

Neither parallel nor perpendicular, the lines which does not makes 90° angle and not 0° with each other are neither parallel nor perpendicular. Hence, the correct match will be GH and EF.

∴ Parallel lines: AB and CD

  Perpendicular lines: EF and CD

  Neither parallel nor perpendicular: GH and EF

Answer 2

Parallel lines = AB & CD
Perpendicular lines = EF & CD
Neither parallel nor perpendicular lines = GH & EF