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If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?
true
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.
If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a rectangle?
No you could have Square, Rectangle, Rhombus, Parallelogram
If each side of a quadrilateral is congruent to it's opposite side then the quadrilateral is a rectangle?
It could also be a square or a rhombus.
If the diagonals of a quadrilateral bisect each other then what quadrilateral must be a parallelogram?
diagonals.
If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a parallelogram?
true
Conditions which guarantee that a quadrilateral is a parallelogram?
Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.
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 a quadrilateral with opposite sides and parallel each pair of opposite sides and angles are congruent?
rhombus
If each side of a quadrilateral is congruent to its opposite side then the quadrilateral is a rectangle?
No you could have Square, Rectangle, Rhombus, Parallelogram
If each side of a quadrilateral is congruent to it's opposite side then the quadrilateral is a rectangle?
It could also be a square or a rhombus.
If the diagonals of a quadrilateral bisect each other then what quadrilateral must be a parallelogram?
diagonals.
If one pair of opposite angles and one pair of opposite sites of a quadrilateral is congruent then the quadrilateral is a parallelogram. How can it be proven?
draw a diagonal through opposite corners of the quadrilateral. This makes two triangles. Prove the triangles are congruent using SSA (side side angle) congruence. Then show that the other two sides of the quadrilater must be congruent to each other, so it is a 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
If each side of a quadrilateral is congruent ti ts opposite side then the quadrilateral is a parallelogram?
Yes Note: A square, rectangle and rhombus are special cases of parallelograms.
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 quadrilateral have diagnols that are congruent and bisect each other?
Any rectangle.
