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A quadrilateral with both pairs of opposite sides parallel?
A parallelogram
What are all of the characteristics of a parallelogram?
Parallelograms: 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. 2.) opposite sides of a parallelogram are congruent 3.) diagonals bisect each other 4.)opposite angles are congruent 5.) consecutive angles are supp. *Remember that alternate interior angles are congruent. To break it down in a better understanding way. 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. If the shape is a parallelogram then you can find the slope of its sides. if they are parallel to each other then it is a parallelogram. 2.) opposite sides of a parallelogram are congruent top and bottom sides are congruent. right and left sides are congruent. 3.) diagonals bisect each other When you draw a straight line from the top right corner to the bottom left corner and from the top left corner to the bottom right corner, the bisect each other or in better terms, the lines cut each other equaly in half. 4.)opposite angles are congruent just as the sides. 5.) consecutive angles are supp. These angels produce a line. this line like all lines will add up to 180 degrees. *Remember that alternate interior angles are congruent.
What constraints are needed on the lengths of the sides of a quadrilateral for it to be a parallelogram?
Both pairs of opposite sides need to be congruent (the same length).
Are both pairs of opposite angles congruent of a kite?
Only the two angles which are connected by the shorter diagonal will be congruent. The other two angles will not necessarily be congruent.
A rectangle is a rhombus true or false?
False but they are both 4 sided quadrilaterals
If one side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?
No, it doesn't have to be. A quadrilateral can definitely be a parallelogram only if: - Both pairs of opposite sides are parallel. - Both pairs of opposite sides are congruent. - One pair of opposite sides are both congruent and parallel. - Both pairs of opposite angles are congruent. - The diagonals bisect each other.
What is quadrilateral with opposite sides both parallel and congruent?
a square
What is one way to prove that a quadrilateral is a parallegram?
* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * both pairs of opposite angles are congruent * one pair of opposite sides are parallel and congruent * both diagonals bisect each other * all consecutive angle pairs are supplementary
What is always true about parallelograms?
Both pairs of opposite sides are parallel + congruent, and both pairs of opposite angles are also congruent.
The opposite sides of a parallelogram are both parallel and what?
congruent (or equal in length).
What has both pairs of opposite sides are congruent and parallel?
Any parallelogram.
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
Select one attribute that describes the quadrilateral. A. Only one pair of opposite sides are parallel. B. There are no right angles. C. Both pairs of opposite sides are congruent and parallel. D. All sides are an equal length?
C. Both pairs of opposite sides are congruent and parallel.
What is a quadrilateral with both pairs of opposite sides parallel and congruent?
That's a rhombus.
What is a parallelogram with both pairs of opposite sides parallel and congruent?
That is called a rectangle.
A quadrilateral with both pairs of opposite sides parallel and congruent?
That's a parallelogram.
A quadrilateral has both pairs of opposite sides congruent and parallel?
No, all that is required is that it has four straight sides.
