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Usimov [2.4K]
1 year ago
15

Think About a Plan Write an indirect proof.

Mathematics
1 answer:
Alekssandra [29.7K]1 year ago
8 0

1) Either \ell \parallel p or \ell ∦ p (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 ∦ p (only other possibility)

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