is this statement true? if its not, why not?
"every square is a rectangle"
2007-11-01 11:23:45 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Yes. A square is a special type of rectangle in which all the sides are equal.
Keep in mind that, on the contrary, not all rectangles are squares.
2007-11-01 11:26:49 · answer #1 · answered by whitesox09 7 · 1⤊ 0⤋
Every square is a rectangle, but not every rectangle is a square. A rectangle always has 4 right angles. So does a square, so that can be considered a rectangle. A rectangle can have sides of any length just as long as all four angles are right angles. A square however must have congruent sides. So not all rectangles are squares, only the rectangles with 4 congruent sides. In real life imagine that you are ordering flowers and you want tulips. A tulip is considered a flower, but are all flowers considered tulips?
A rectangle can be considered a parallelogram with 4 right angles. A rhombus is a parallelogram with 4 congruent sides. A square is a rhombus with 4 right angles.
So yes... The statement is true
2007-11-01 11:27:55 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Yes because a rectangle is defined as "having opposite sides parallel and its corner angles all right angles (90°)".
A square's opposite sides are indeed parallel and its corners are all right angles. It's a special rectangle because all sides are equal in length.
2007-11-01 11:29:13 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Yes, every square is a rectangle, because a has = sides square and has 4 sides.
I AM SURE
2007-11-01 11:27:35 · answer #4 · answered by Anonymous · 0⤊ 0⤋
In geometry, a rectangle is defined as a quadrilateral where all four of its angles are right angles.
So, given this definition, a sqaure is always a rectangle.
2007-11-01 11:27:54 · answer #5 · answered by Eric 2 · 0⤊ 0⤋
It is TRUE. It is a special rectangle in that it has all sides equal to each other
2007-11-01 11:28:22 · answer #6 · answered by ironduke8159 7 · 0⤊ 0⤋
Yes is it. A rectangle is classified as a quadrilateral equilanguler(all angles equal) and opposite sides parallel. A suare can be classified as the exact same thing.
2007-11-01 11:27:56 · answer #7 · answered by mineman43 2 · 0⤊ 0⤋
i've heard every rectangle is a square but not every square is a rectangle. idk it may b true
2007-11-01 11:27:18 · answer #8 · answered by jumpcrazi95 2 · 0⤊ 1⤋