Bell Curves - Quadrilaterals

[ASKajan]

12. How many angles must be equal to 90 degrees before a figure can be identified as a rectangle?

13. In a rectangle, drawing a diagonal will form angles in the corner from which it is drawn whose measure are?

[ddyno]

Q1. I think 2 angles = 90 degrees should be enough to decide whether a quad is a rectangle.

Actually this is exactly the question i got at the GMAT yesterday but in form of a DS question. Let me put it forward for all:

Q. Is the quadilateral a rectangle?
1. 3 angles of the quad are 90 degree angles.
2. 3 sides of the quad are parallel.

For q 2, I think the measure will be 45 degrees. Diagonal of a rectangle bisects the rectangle.

[sanjeev_sharma]

I agree to the first answer from ddyno but for the the second question the 45deg is true for the square but not for the rectangle.

So it is difficult for me to answer the question.

[ASKajan]

Bell Curves says:

Q1 = 3
Q2 = Cannot be determined

Can someone explain?

[ASKajan]

OK I think I got it. If a rectangle has 3 90 degree angles the third angle will be formed by the intersection of two lines. You COULD have two 90 degree angles in opposite corners which form a rectangle but to be sure you need 3.

The diagonal of each square is 45 degrees as each side is equal. The diagonal of each rectangle depends on the lengths of the sides. Imagine a rectangle with sides 1 and 1,000. The diagonal will form two angles MUCH smaller than 45 degrees.

[manikdhingra]

hey guys what will be the oa to the d.s duestion posted here......

[bose]

yes i guessed the same q1) 3 as the other angle will automatically be 90.
q2) cannot be determined because it can be 30-60, 45-45 any thing

[Queen09]

Actually this is exactly the question i got at the GMAT yesterday but in form of a DS question. Let me put it forward for all:

Q. Is the quadilateral a rectangle?
1. 3 angles of the quad are 90 degree angles.
2. 3 sides of the quad are parallel.

"3 sides of the quad are parallel." is sounding strange. u missing something.
Otherwise A - "3 angles of the quad are 90 degree angles." is enough to answer.

[ddyno]

"3 sides of the quad are parallel." is sounding strange. u missing something.
Otherwise A - "3 angles of the quad are 90 degree angles." is enough to answer.

I hope i am not missing anything. But i am sure both the options have been put up correctly.

[ASKajan]

How can three sides be parallel in a quadrilateral? Wouldn't it then take 5 sides to enclose the object and create two quadrilaterals?