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Write a two-column proof. Given: Triangle ACD is isosceles; <1 is congruent to <3 Prove: Segment AB || Segment CD

Write a two-column proof. Given: Triangle ACD is isosceles; <1 is congruent to-example-1
User Snote
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Answer:

The answer is explained below

Explanation:

Statement Reason

Triangle ACD is isosceles and Given

<1 = <3 (<1 is congruent to <3)

∠3 = ∠4 Isosceles triangle base angles.

∠1 = ∠4 Substitution Theorem

∠1 = ∠4 They are produced by two lines . AB and CD cut by transversal

. line AD

Segment AB || Segment CD Alternate interior angle theorem

The Alternate interior angle theorem states that if two lines cut by a transversal line form congruent alternate interior angles, then the two lines are parallel to each other.

User TedMilker
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