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What shapes have opposite angles congruent?
Any polygon with 2n sides (n integer) where opposite sides are parallel, will have its opposite angles congruent.
Which shapes have opposite sides congruent and parallel?
There are many such shapes. Any polygon with an even number of sides can have opposite sides that meet the above requirements.
What are five characteristics of a rectangle?
* both pairs of opposite sides are parallel * both pairs of opposite sides are congruent * all angles are 90 degrees * both pairs of opposite angles are congruent * the diagonals bisect each other.
What is the Parallelogram Opposite Sides Converse?
If a quadrilateral has two pairs of opposite congruent sides, then the quadrilateral is a parallelogram.
What is the opposite sides are congruent?
Of some shape, Yes. Of other shapes, No.
What quadrilateral has both pairs of opposite sides congruent?
A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
A quadrilateral with both pairs of opposite sides congruent?
A quadrilateral with both pairs of opposite sides congruent is a parallelogram.
What shapes have opposite sides congruent?
A polygon with 2n sides (n>1) can have opposite sides congruent.
What is a quadrilateral with two pairs of congruent adjacent sides congruent and no congruent opposite sides?
Diamond
What is a quadrilateral with 2 pairs of congruent adjacent sides congruent and no congruent opposite sides?
Trapezoid.
How many pairs of congruent sides are there in a parallelogram?
2 pairs, the sides opposite each other are congruent to each other
Has 2 pairs of opposite sides congruent?
rectangle
Both pairs of opposite sides are congruent?
a rhombus
What quadrilateral has exactly 2 pairs of adjacent sides congruent and no opposite sides congruent?
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
What is always true about parallelograms?
Both pairs of opposite sides are parallel + congruent, and both pairs of opposite angles are also 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.
