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Shapes that have both pairs of opposite sides congruent include rectangles, parallelograms, rhombuses, and squares. In these shapes, not only are the opposite sides equal in length, but they also exhibit specific properties depending on their classification. For example, all squares are rectangles and rhombuses, but not all rectangles or rhombuses are squares. These properties contribute to the overall symmetry and balance in each shape.
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What shapes have opposite sides congruent?
A polygon with 2n sides (n>1) can have opposite sides congruent.
What is a quadrilateral with 2 pairs of congruent adjacent sides congruent and no congruent opposite sides?
Trapezoid.
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.
Both pairs of opposite sides are congruent?
a rhombus
What quadrilateral has both pairs of opposite sides congruent?
A parallelogram has two pairs of congruent sides, and the opposite sides are congruent.
What shapes have both pairs of opposite sides that are congruent?
Of the quadrilaterals: a square, a rectangle, a parallelogram and a rhombus
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
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 quadrilateral has exactly 2 pairs of adjacent sides congruent and no opposite sides congruent?
A kite
What is always true about parallelograms?
Both pairs of opposite sides are parallel + congruent, and both pairs of opposite angles are also congruent.
Both pairs of opposite sides are congruent?
a rhombus
