All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Go for the midpoint (Posted on 2016-06-18) Difficulty: 3 of 5
Point P lies within acute angle XOY.

How can we find a point A on OX and a point B on OY such that P is the midpoint of a segment AB drawn between them?

No Solution Yet Submitted by Ady TZIDON    
Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution No Subject | Comment 1 of 3

Construct a circle with P as center and
passing through point O. The ray OP
intersects the circle again at point C.
Construct a line through point C and
parallel to line OY which intersects
line OX at point A.
Construct a line through point C and
parallel to line OX which intersects
line OY at point B.
Point P is the midpoint of diagonal OC
of parallogram AOBC. Therefore, point P
is the midpoint of diagonal AB. QED


  Posted by Bractals on 2016-06-18 09:37:41
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information