Question

drag the tiles to the boxes to form correct pairs.
match each pair of lines to the correct description.
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Explanation:

Step1: Recall the definitions

Parallel lines are lines in a plane that do not intersect. Perpendicular lines are lines that intersect at a right ($90^{\circ}$) angle.

Step2: Analyze $\overline{AB}$ and $\overline{CD}$

Looking at the diagram, $\overline{AB}$ and $\overline{CD}$ are horizontal lines. They do not intersect, so they are parallel.

Step3: Analyze $\overline{EF}$ and $\overline{CD}$

$\overline{EF}$ is a vertical line and $\overline{CD}$ is a horizontal line. They intersect at a right angle (as indicated by the right - angle symbol in the diagram), so they are perpendicular.

Step4: Analyze $\overline{GH}$ and $\overline{EF}$

$\overline{GH}$ is a slanted line. It does not intersect $\overline{EF}$ at a right angle and also is not parallel to $\overline{EF}$ (since they are not in the same direction and will intersect if extended), so they are neither parallel nor perpendicular.

Answer:

• $\overline{AB}$ and $\overline{CD}$: parallel lines
• $\overline{EF}$ and $\overline{CD}$: perpendicular lines
• $\overline{GH}$ and $\overline{EF}$: neither parallel nor perpendicular lines