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(21685) (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