Question

what is the relationship between (overrightarrow{ab}) and (overrightarrow{cd})?
a. (overrightarrow{ab}) is parallel to (overrightarrow{cd})
b. (overrightarrow{ab}) is perpendicular to (overrightarrow{cd})
c. (overrightarrow{ab}) intersects (overrightarrow{cd}) to form an acute angle.
d. (overrightarrow{ab}) intersects (overrightarrow{cd}) to form an obtuse angle.

Explanation:

Step1: Analyze the visual - relationship

From the figure, we can observe the relative position of the two lines.

Step2: Recall geometric relationships

Parallel lines never intersect, perpendicular lines form 90 - degree angles, acute - angled intersection has an angle less than 90 degrees, and obtuse - angled intersection has an angle greater than 90 degrees.

Step3: Determine the relationship

The two lines intersect at an angle less than 90 degrees.

Answer:

C. $\overleftrightarrow{DE}$ intersects $\overleftrightarrow{BC}$ to form an acute angle.