Mathematics, 22.04.2020 18:59 only1cache
Given: g ∥ h and ∠2 ≅ ∠3
Prove: e ∥ f
Horizontal and parallel lines e and f are intersected by diagonal and parallel lines g and h. At the intersection of lines g and e, the bottom right angle is angle 2. At the intersection of lines h and e, the bottom right angle is angle 1. At the intersection of lines f and h, the top left angle is angle 3.
Statements Reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2. corresponding angles theorm
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. ?
What is the missing reason in the proof?
vertical angles theorem
alternate exterior angles theorem
converse corresponding angles theorem
converse alternate interior angles theorem
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Given: g ∥ h and ∠2 ≅ ∠3
Prove: e ∥ f
Horizontal and parallel lines e and f...
Prove: e ∥ f
Horizontal and parallel lines e and f...
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