Question

making a conjecture about
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 (angles 1 and 4 are congruent as vertical angles), the corresponding angles theorem (angles 4 and 8 are congruent as corresponding angles), and the transitive property (since angle 4 is congruent to both 1 and 8, then 1 is congruent to 8). Supplementary angles and linear pairs are not mentioned in the sample response.

Answer:

vertical angles theorem, corresponding angles theorem, transitive property