Question

for items 11 - 14. use the figure shown. ab is parallel to ce. point f is the midpoint of ae and bc. does m∠baf = m∠cef? explain. a yes, they are vertical angles. b yes, they are alternate interior angles. c yes, they are alternate exterior angles. d no, the angles have no relationship.

Explanation:

Step1: Recall angle - relationship definitions

Vertical angles are formed when two lines intersect. Alternate interior angles are between two parallel lines and on opposite sides of a transversal. Alternate exterior angles are outside two parallel lines and on opposite sides of a transversal.

Step2: Analyze the position of ∠BAF and ∠CEF

Since $\overline{AB}\parallel\overline{CE}$, and considering the transversal that intersects them, ∠BAF and ∠CEF are alternate interior angles. When two parallel lines are cut by a transversal, alternate interior angles are congruent.

Answer:

B. Yes, they are alternate interior angles