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 ∠1 ≅ ∠4), the corresponding angles theorem (to say ∠4 ≅ ∠8), and the transitive property (since ∠1 ≅ ∠4 and ∠4 ≅ ∠8, then ∠1 ≅ ∠8). Supplementary angles and linear pairs are not used here.

Answer:

• vertical angles theorem
• corresponding angles theorem
• transitive property