Question

which of the following types of angles are congruent? (select all the answers that apply.)
linear pair
vertical angles
alternate exterior angles
corresponding angles

Explanation:

Step1: Definition of congruent angles

Congruent angles have equal measures.

Step2: Analyze each option

• Vertical Angles: By the vertical angles theorem, they are congruent.
• Alternate Exterior Angles: When two parallel lines are cut by a transversal, alternate exterior angles are congruent (by the alternate exterior angles theorem).
• Corresponding Angles: When two parallel lines are cut by a transversal, corresponding angles are congruent (by the corresponding angles postulate).
• Linear Pair: A linear pair of angles is supplementary (sum to \(180^{\circ}\)), not necessarily congruent (unless each is \(90^{\circ}\)).

Answer:

B. Vertical Angles, C. Alternate Exterior Angles, D. Corresponding Angles