Think About a Plan Write an indirect proof. Proof Given: 41 42 Prove: p • What assumption should be the first step of your proof? . In the figure, what type of angle pair do 21 …

Question

asked Dec 18, 2023 135k views

1 Answer

Matthew Pickering · Answer 1 · 2023-12-25T00:47:27+0000

1) Either
$\ell \parallel p$ or
$\ell$ ∦
(only two possibilities)

2) Assume
$\ell \parallel p$ (one of two possibilities)

3)
$\angle 1 \cong \angle 2$ (if two parallel lines are cut by a transversal, the corresponding angles are congruent)

4) But
$\angle 1$ is not congruent to
$\angle 2$ (given)

5) So
$\ell$ ∦
(only other possibility)