Question

ab and pq are parallel lines. cr and ds intersect the two lines as shown in the figure. which statement is true about cr and ds? a. cr < ds b. cr > ds c. cr = ds d. cr = ds * 2

Explanation:

Step1: Recall the concept of distance between parallel lines

The distance between two parallel lines is the length of the perpendicular segment between them. If two lines are parallel, then all perpendicular segments between them are equal in length.

Step2: Analyze the given figure

In the figure, \(\overleftrightarrow{AB}\) and \(\overleftrightarrow{PQ}\) are parallel lines. \(\overline{CR}\) and \(\overline{DS}\) are both perpendicular to these parallel lines (as indicated by the right - angle symbols). So, by the property of parallel lines, the lengths of \(\overline{CR}\) and \(\overline{DS}\) should be equal.

Answer:

C. \(CR = DS\)