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 uses the vertical - angles theorem to say angles 1 and 4 are congruent, the corresponding - angles theorem to say angles 4 and 8 are congruent, and then the transitive property to say angle 1 is congruent to angle 8. It does not mention supplementary angles or linear pairs.

Answer:

• vertical angles theorem
• corresponding angles theorem
• transitive property