0
What counterexample shows that the conjecture Every parallelogram is also a rectangle is false?
Wiki User
∙ 7y agoWant this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
Is th paralleloram a rhombus or a Rectangle?
I hope you know the definition of the parallelogram. i.e.,In geometry, a parallelogram is a quadrilateralwith two sets of parallel sides.so naturally rhombus and rectangle are special case of parallelogram. That means every rhombus is parallelogram similarly every rectangle is a parallelogram. But converse need not be true.So parallelogram not necessarily a rhombus or a rectangle.GMG.
What are three different names for a rectangle?
Every rectangle is also a parallelogram and a quadrilateral.
In what way is a rectangle similar to a parallelogram?
Every rectangle is a parallelogram. The description of a parallelogram is: -- a figure that lies in a single plane -- it has four sides -- opposite sides are parallel -- opposite sides have equal lengths -- alternate angles are equal Every rectangle satisfies this description.
Is every rectangle parallelogram?
Yes, every rectangle is a parallelogram. Parallelograms are defined as a shape with opposite, but parallel sides. A rectangle is defined as a shape with 90 degree angles, 2 sets of parallel sides, and the opposite sides must be equal in length. Because the sides of any rectangle are parallel, any qualified rectangle is a parallelogram.
Could a parallelogram that is not a rectangle darw it?
Here's something to think about: -- Every rectangle is a parallelogram. There are an infinite number of them. -- There are also an infinite number of more parallelograms that are not rectangles.
Which counterexample shows that the conjecture Every four-sided figure is a parallelogram is false?
Every four sided figure is a quadrilateral which includes a parallelogram.
Is every rectangle a square using counterexample?
Every square is a rectangle, but not every rectangle is a square.
Is every parallelogram is also a rectangle?
No. Most parallelograms are not rectangles. But every rectangle is a parallelogram.
Is every parellelogram a rectangle?
No. Every parallelogram is not a rectangle but every rectangle is a parallelogram.
Is every parllelogram a rectangle?
No, but every rectangle is a parallelogram.
Is a parrallelogram a rectangle?
Yes, a rectangle is a special case of a parallelogram, where each of the 4 angles = 90°
Can a rectangle not be a parallogram?
No, it can't not be. Every rectangle is a parallelogram.
Can every rectangle be a parallelogram?
Well, a rectangle is defined as having two sets of parallel sides and four right angles, a parallelogram is defined as having two sets of parallel sides and two sets of supplementary angles. Therefor, a rectangle is always, by definition, a parallelogram. A parallelogram is not always a rectangle, but it can be.
Is th paralleloram a rhombus or a Rectangle?
I hope you know the definition of the parallelogram. i.e.,In geometry, a parallelogram is a quadrilateralwith two sets of parallel sides.so naturally rhombus and rectangle are special case of parallelogram. That means every rhombus is parallelogram similarly every rectangle is a parallelogram. But converse need not be true.So parallelogram not necessarily a rhombus or a rectangle.GMG.
What are three different names for a rectangle?
Every rectangle is also a parallelogram and a quadrilateral.
Is every parallelogram's a rectangle?
yes, as long as 2 sides are parallel, its a parallelogram.
Are consecutive angles in a parallelogram always congruent?
Not unless the parallelogram is a rectangle. In every parallelogram, consecutive angles are supplementary.
