Page 1 of 1 [ 2 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: parallel lines and equal length sidesPosted: Sat Jan 08, 2011 11:15 am

Joined: Tue Jun 15, 2010 4:55 pm
Posts: 8
Just an observation while
going over the geometry concepts esp. on quads:

A pair of parallel sides mean diagonals bisect each other.
also, having equal length sides imply diagonals are perpendicular -
though it's not the case with a square.

Could you confirm if I've got this right, please?
Thank you.

Top

 Post subject: Re: parallel lines and equal length sidesPosted: Sun Jan 09, 2011 8:08 pm

Joined: Thu Feb 12, 2009 6:32 pm
Posts: 497
If we have two pairs of parallel sides (square, rectangle, parallelogram, rhombus) then the diagonals bisect each other.
However, if we only have one pair of parallel sides, as we do in a trapezoid, we don't necessarily have bisecting diagonals.

Equal length sides doesn't imply perpendicular diagonals, though.
This IS the case in a square, where the diagonals are perpendicular, equal, and bisect each other.
It is the case in a rhombus, where the diagonals are perpendicular and bisect each other, but aren't equal to each other.

Everything you need to know on this is in the Geometry text on page 17...

Valerie BRowning
Veritas Prep

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 2 posts ]

 All times are UTC - 8 hours [ DST ]

#### Who is online

Users browsing this forum: No registered users and 1 guest

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forumYou cannot post attachments in this forum

 Search for: