SOLUTION: Given: Angle AKE is congruent to angle REK Prove: Segment SK || segment TE (seg. Sk is parallel to seg. TE) FIGURE: (copy and paste into browser) http://i78.photobucket.com/

Question 175911: Given: Angle AKE is congruent to angle REK
Prove: Segment SK || segment TE (seg. Sk is parallel to seg. TE)
FIGURE:
(copy and paste into browser)
http://i78.photobucket.com/albums/j81/monkeychic101222/geo-proof.jpg
If someone could help me with this in the next few days, that'd be great!! Thanks! =)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I've seen this problem before. I think you're forgetting the given statement: "angle 1 is congruent to angle 4". If not, then let me know

Here's a two column proof

Statement	Reason
1. Angle AKE = Angle REK	Given
2. Angle 1 = Angle 4	Given
3. Angle 1 + Angle 2 = Angle AKE	Angle Addition Postulate
4. Angle 3 + Angle 4 = Angle REK	Angle Addition Postulate
5. Angle 1 + Angle 2 = Angle 3 + Angle 4	Substitution (see statement 1)
6. Angle 4 + Angle 2 = Angle 3 + Angle 4	Substitution
7. Angle 2 = Angle 3	Addition Property of Equality
8. Segment SK is parallel to Segment TE	Alternate Interior Angles Converse

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