Question

and ( overleftrightarrow{pq} ) are parallel lines. ( overline{cr} ) and ( overline{ds} ) intersect the two lines as shown in the figure. which statement is true about ( cr ) and ( ) a. ( cr < ds ) b. ( cr > ds ) c. ( cr = ds ) d. ( cr = ds \times 2 )

Explanation:

We know that the distance between two parallel lines is constant, and the segments perpendicular to the parallel lines (like \( \overline{CR} \) and \( \overline{DS} \) here, since they form right angles with \( \overleftrightarrow{AB} \) and \( \overleftrightarrow{PQ} \)) are equal in length. So \( CR = DS \).

Answer:

C. \( CR = DS \)