Question

sample response: because vertical angles are congruent, angles 1 and 4 are congruent. because corresponding angles are congruent, angles 4 and 8 are congruent. because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.
what did you include in your response? check all that apply.
vertical angles theorem
corresponding angles theorem
transitive property
supplementary angles
linear pairs

Explanation:

The sample response mentions vertical angles (angles 1 and 4), corresponding angles (angles 4 and 8), and the transitive property (since angle 4 is congruent to both 1 and 8, then 1 is congruent to 8). It does not mention supplementary angles (angles that add up to 180°) or linear pairs (adjacent angles that form a straight line).

Answer:

vertical angles theorem, corresponding angles theorem, transitive property