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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
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.
How do you describe the angles and sides of each quadrilateral?
quadrilateral--a four-sided figure, any length sides, any angles trapezoid--one pair of parallel sides, any length sides, any angles parallelogram--two pairs of parallel sides, opposite sides congruent, opposite angles congruent rectangle--two pairs of parallel sides, opposite sides congruent, all angles are right angles (90 degrees) rhombus--two pairs of parallel sides, all sides congruent, opposite angles congruent square--two pairs of parallel sides, all sides congruetn, all angles are right angles (90 degrees)
What is a parallelogram with both pairs of opposite sides parallel and congruent?
That is called a rectangle.
A quadrilateral with congruent pairs of adjacent sides and no parallel sides?
A quadrilateral with congruent pairs of adjacent sides and no parallel sides is a kite.
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
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 always true about parallelograms?
Both pairs of opposite sides are parallel + congruent, and both pairs of opposite angles are also congruent.
What quadrilateral has two pairs of opposite sides that are congruent and parallel?
parallelogram.
How do you describe the angles and sides of each quadrilateral?
quadrilateral--a four-sided figure, any length sides, any angles trapezoid--one pair of parallel sides, any length sides, any angles parallelogram--two pairs of parallel sides, opposite sides congruent, opposite angles congruent rectangle--two pairs of parallel sides, opposite sides congruent, all angles are right angles (90 degrees) rhombus--two pairs of parallel sides, all sides congruent, opposite angles congruent square--two pairs of parallel sides, all sides congruetn, all angles are right angles (90 degrees)
What shape has two pairs of opposite parallel sides but adjacent sides not congruent?
a parallelogram.
What is a quadrilateral with two pairs of opposite sides parallel and four congruent sides?
Parallelogram
What is a quadrilateral with both pairs of opposite sides parallel and congruent?
That's a rhombus.
Why is a rectangle a rhombus?
It has 2 pairs of parallel sides and the opposite angles are congruent.
A quadrilateral with both pairs of opposite sides parallel and congruent?
That's a parallelogram.
What is a parallelogram with both pairs of opposite sides parallel and congruent?
That is called a rectangle.
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.
