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you can prove any one of these statements to prove that quadrilateral
is a rectangle:
-- Opposite sides are parallel and any one angle is a right angle.
-- Opposite sides are equal and any one angle is a right angle.
-- All four angles are right angles.
-- Adjacent angles are complementary, and one of them is a right angle.
-- Opposite sides are either equal or parallel, and area is equal to the product
of two adjacent sides.
-- Diagonals are equal.
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What are the proofs that a quadrilateral ia s parallelogram?
There are 5 ways to prove a Quadrilateral is a Parallelogram. -Prove both pairs of opposite sides congruent -Prove both pairs of opposite sides parallel -Prove one pair of opposite sides both congruent and parallel -Prove both pairs of opposite angles are congruent -Prove that the diagonals bisect each other
A rectangle is a parallelogram with a right interior angle?
Yes, that is what is rectangle is. One can prove that all of the angles are right angles.
How do you prove a quadrilateral is a rectangle?
You need to prove that there are two pairs of sides with equal lengths. Imagine a rectangle A C B D Since side AB is equal in length to side CD that is one equal pair. Likewise, AC is equal to BD and is the other equal pair. Since there are two equal parallel pairs, the angles must all be 90 degrees by rules of geometry so it is a rectangle. Note: The same thing may be used to prove a square, except a square has all sides of the same length. ================================================ If you can prove any one of these statements, then your quadrilateral is a rectangle: -- Opposite sides are parallel and any one angle is a right angle. -- Opposite sides are equal and any one angle is a right angle. -- All four angles are right angles. -- Adjacent angles are complementary, and one of them is a right angle. -- Opposite sides are either equal or parallel, and area is equal to the product of two adjacent sides. -- Diagonals are equal.
Ho do you prove the formula for the area of a rectangle?
Use squares and try it out for yourself. Get a number of squares and make a rectangle 3 squares long by 4 squares wide. Count the squares. You should have 12 squares (or 3*4). That's the best way I know to prove the formula.
Could one prove that a shape is a square by finding the slopes of each side Why or why not?
One could not. The shape could be a rectangle.
