Question

if (overleftrightarrow{ae} perp overleftrightarrow{ac}), and (overleftrightarrow{ae} parallel overleftrightarrow{ch}) then (overleftrightarrow{ac}) ? (overleftrightarrow{ch}).

Explanation:

Step1: Recall the property of perpendicular lines

If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Step2: Apply the property

Given $\overleftrightarrow{AE}\perp\overleftrightarrow{AC}$ and $\overleftrightarrow{AE}\parallel\overleftrightarrow{CH}$. By the property mentioned in Step 1, we can conclude that $\overleftrightarrow{AC}\perp\overleftrightarrow{CH}$.

Answer:

A. $\perp$