Question

which statement about parallel lines is true?
a. parallel lines have opposite reciprocal slopes.
b. parallel lines have the same slope.
c. parallel lines intersect at a single point.
d. parallel lines are always intersected by a transversal.

Explanation:

Step1: Analyze Option A

Opposite reciprocal slopes are for perpendicular lines, not parallel. So A is false.

Step2: Analyze Option B

By definition, parallel lines (in a plane) have equal slopes (or are both vertical, undefined slope). So B matches the definition.

Step3: Analyze Option C

Parallel lines never intersect, so C is false.

Step4: Analyze Option D

Parallel lines can exist without a transversal; a transversal is a line that intersects them, but they don't require one. So D is false.

Answer:

B. Parallel lines have the same slope.