Question

identify a set of parallel and a set of perpendicular lines in this image.
ad || eh, eh ⊥ bf
bf || cg, bf ⊥ cg
ad || eh, bf ⊥ cg
bf || cg, ad ⊥ eh

Explanation:

Step1: Recall line - relationship definitions

Parallel lines are lines that never intersect, and perpendicular lines intersect at a 90 - degree angle.

Step2: Analyze the given lines

In the image, $\overleftrightarrow{AD}$ and $\overleftrightarrow{EH}$ are horizontal lines and are parallel ($\overleftrightarrow{AD}\parallel\overleftrightarrow{EH}$). Also, $\overleftrightarrow{EH}$ and $\overleftrightarrow{BF}$ intersect at right - angles, so $\overleftrightarrow{EH}\perp\overleftrightarrow{BF}$.

Answer:

A. $\overleftrightarrow{AD}\parallel\overleftrightarrow{EH}$, $\overleftrightarrow{EH}\perp\overleftrightarrow{BF}$