jasongreen
New member
- Joined
- Nov 23, 2011
- Messages
- 1
Hey so I was looking at this problem that was given to me by a fellow student for fun and I am completely stumped! any help is greatly appreciated:
OPQRST is a regular hexagon. K is the midpoint of OP. Z is the midpoint of QR. SK, and TZ intersect OR at d and e respectively. Show (prove) that OD is congruent to DE is congruent to ER. Please give an explanation as I want to learn. What I have tried so far: When you draw the diagram you can fairly easily prove that triangle ODP and REQ are conguent. so that is two sides. But I can't get the third. I don't think the triangle can be congruent to the others because I think that violates parallel postulate because you would have congruent alt interior angles on lines that intersect. So I am trying to apply mid-line theorem because of the midpoints but am failing.
Thanks
Link to problem:
< link to objectionable page removed >
OPQRST is a regular hexagon. K is the midpoint of OP. Z is the midpoint of QR. SK, and TZ intersect OR at d and e respectively. Show (prove) that OD is congruent to DE is congruent to ER. Please give an explanation as I want to learn. What I have tried so far: When you draw the diagram you can fairly easily prove that triangle ODP and REQ are conguent. so that is two sides. But I can't get the third. I don't think the triangle can be congruent to the others because I think that violates parallel postulate because you would have congruent alt interior angles on lines that intersect. So I am trying to apply mid-line theorem because of the midpoints but am failing.
Thanks
Link to problem:
< link to objectionable page removed >
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