Remember, for a parallelogram to be a rectangle, it must have four right angles, opposite sides congruent, opposite sides parallel, opposite angles congruent, diagonals that bisect, and diagonals that are congruent. A square satisfies all of these requirements, so a square is always a rectangle.
How do you know if a parallelogram is a rectangle?
If the diagonals of a parallelogram are congruent, then it is a rectangle (neither the inverse of definition nor the inverse of a property). If a parallelogram contains a right angle, then it is a rectangle (neither the inverse of definition nor the inverse of property).
Can a parallelogram be a rectangle?
It’s always true. Â Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. … A parallelogram is a rectangle.
What are two methods to prove that a parallelogram is a rectangle?
Every pair of interior angles is complementary because two right angles add to form a right angle, so opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: its opposite sides are equal and parallel. Its diagonals intersect in the middle.
Why is a parallelogram sometimes a rectangle?
A rectangle is considered a special case of a parallelogram because: A parallelogram is a quadrilateral with 2 pairs of opposite, equal, parallel sides. A rectangle is a quadrilateral with 2 pairs of opposite, equal and parallel sides BUT ALSO forms right angles between adjacent sides.
What are the Similarities Between a Parallelogram and a Rectangle?
A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite parallel sides and four right angles. It is also a parallelogram since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.
Is every rhombus a rectangle?
Every quadrilateral has parallel sides. Every square has vertical lines. Every rectangle has perpendicular sides. … Every diamond is a rectangle.
Is every rectangle a rhombus?
1 answer. No, not every rectangle is a rhombus.
How do I check a rectangle?
There are several ways to prove that a quadrilateral is a rectangle. Here are three of the simplest ways: 1) Show that all angles are 90° 2) Show that one pair of sides are parallel and two opposite angles are 90° 3) Show that the diagonals bisect and are equal in length.