Geometry again

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 44
Joined: Fri Mar 30, 2007 3:11 pm

Geometry again

by gviren » Tue May 29, 2007 5:10 am
. Is quadrilateral RSTV a rectangle?
(1) The measure of ∠RST is 90o
(2) The measure of ∠TVR is 90o

User avatar
Master | Next Rank: 500 Posts
Posts: 400
Joined: Sat Mar 10, 2007 4:04 am
Thanked: 1 times
Followed by:1 members

by f2001290 » Tue May 29, 2007 5:13 am
Is it E

Senior | Next Rank: 100 Posts
Posts: 44
Joined: Fri Mar 30, 2007 3:11 pm

by gviren » Tue May 29, 2007 5:17 am
You are correct. I thought C. Can you please eloborate

User avatar
Master | Next Rank: 500 Posts
Posts: 400
Joined: Sat Mar 10, 2007 4:04 am
Thanked: 1 times
Followed by:1 members

by f2001290 » Tue May 29, 2007 5:23 am
It can be a square also.
That's why i opted for E

Senior | Next Rank: 100 Posts
Posts: 44
Joined: Fri Mar 30, 2007 3:11 pm

by gviren » Tue May 29, 2007 5:29 am
Thanks. I have to take care of these finer points. Appreciate your help

User avatar
Master | Next Rank: 500 Posts
Posts: 418
Joined: Mon Feb 26, 2007 6:41 pm
Thanked: 24 times

by Prasanna » Tue May 29, 2007 4:00 pm
I have a doubt here. Is sqaure not a subset of rectangle? Can we not call a square a rectangle?

User avatar
Community Manager
Posts: 789
Joined: Sun Jan 28, 2007 3:51 pm
Location: Silicon valley, California
Thanked: 30 times
Followed by:1 members

by jayhawk2001 » Tue May 29, 2007 9:46 pm
I agree with Prasanna. square should be considered a kind of rectangle.

The answer is E because a quadrilateral can be constructed with 2 opposite
sides as 90-deg without being a rectangle (don't choose this choice in SC :-)
as it uses "being" ha ha).

I've attached an image illustrating this.
Attachments
quad.JPG