are all rectangles the same? Why or why not?
2007-01-24 22:22:29 · 4 answers · asked by Eugene D 1 in Science & Mathematics ➔ Mathematics
No
similar, by definition, means the sides and angles are in proportion to one another.
Of course, the angles are always in proportion, by definition of a rectangle. (All angles = 90)
But the sides could be different...
One rectangle could have sides 3 ft by 4 ft, and another could have sides of 1 ft by 7 ft. Those are not going to be proportional, so those rectangles are not similar.
2007-01-24 22:29:23 · answer #1 · answered by Mathematica 7 · 1⤊ 0⤋
Obviously they are all equiangular, as all of them have rightangles for all four angles. But they're not the same: In general, their corresponding sides are not in the same ratio.
For example, a square is a special rectangle, but it's a different shape from, say, a 6 by 3 rectangle, which is different again from a 6 by 4 rectangle. However a 15 by 10 rectangle is similar to the 6 by 4, as both of them have the length:width ratio as 3:2
2007-01-24 23:05:01 · answer #2 · answered by Hy 7 · 0⤊ 1⤋
No, the ratio of length to width can vary from rectangle to rectangle. For example, some rectangles are also squares, others are not.
2007-01-24 22:58:36 · answer #3 · answered by Northstar 7 · 0⤊ 1⤋
no
The rectangle length and width could differ. The length could be longer or shorter and the width could be longer or shorter.The area could be larger or smaller. The perimeter could also differ.
Perimeter formula
P = 2L + 2W
Area Formula
A = LW
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2007-01-24 23:23:07 · answer #4 · answered by SAMUEL D 7 · 1⤊ 0⤋