Mathematics, 14.07.2020 22:01 u8p4

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 <3 Prove: Segm

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Answer from: genesisprieto11

The answer is given below

Step-by-step explanation:

Statement Reason

Triangle ACD is isosceles Given

<1 = <3 Given that <1 is congruent to <3

∠3 = ∠4 Base angles of an isosceles

. triangle is equal

∠1 = ∠4 By substitution, since ∠1 = ∠3

. and ∠3 = ∠4, therefore ∠1 = ∠4

Segment AB || Segment CD Alternate interior angle theorem . Since ∠1 = ∠4 (alternate

, interior angles)

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

AB and CD and transversal AD form alternate interior angles (∠1 and ∠4), therefore AB and CD are parallel

Answer from: Quest

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)
I’m not sure how to solve these type of problems

I’m not sure how to solve these type of problems

Answer from: Quest

this answer is !

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