If a parallelogram is inscribed in a circle what shape is it?
2007-04-19 15:43:42 · 9 answers · asked by livelaughlove 2 in Science & Mathematics ➔ Mathematics
If it is a parallelogram, inscribed in a circle, then it must be a rectangle.
Why?
Because the opposite angles for any quadrilateral inscribed in a circle must be supplementary.
In a parallelogram.. the consecutive angles must also be supplementary.
The only way for both of these to be true.. is for the four angles in the parallelogram to be 90 degrees.
Therefore, the parallelogram must be a rectangle.
(However, it doesn't have to be a square .. i.e. rhombus)
2007-04-19 16:19:43 · answer #1 · answered by suesysgoddess 6 · 1⤊ 0⤋
A parallelogram inscribed in a circle is still a parallelogram. It just happens to live inside a circle..
--Edit--
in the indterest of being serious and actually helping you...
The only parallelogram you can get inside a circle is a square, tho.
2007-04-19 15:46:02 · answer #2 · answered by Anonymous · 0⤊ 3⤋
Rectangular or square. A circle can be drawn through 3 points not on a line. However, once you come up with a 4th point, you have to tow the line.
2007-04-19 15:48:17 · answer #3 · answered by cattbarf 7 · 1⤊ 0⤋
its a parallelogram with a circle around it.
2007-04-19 15:48:27 · answer #4 · answered by Anonymous · 0⤊ 2⤋
it becomes a cyclic quadrilateral when the 4 points in it are inscribed in any 4 points in the circumference
2007-04-19 15:47:13 · answer #5 · answered by Tiruvenkatan R 3 · 0⤊ 4⤋
square
2007-04-19 15:46:39 · answer #6 · answered by Mikee 3 · 0⤊ 2⤋
lol i love bee's answer. but yeah shes right lol
2007-04-19 15:46:53 · answer #7 · answered by Anonymous · 0⤊ 3⤋
lozenge
2007-04-19 15:46:50 · answer #8 · answered by roman_king1 4 · 0⤊ 2⤋
an abtuse \
2007-04-19 15:46:45 · answer #9 · answered by Lil CoCo 1 · 0⤊ 2⤋