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What shapes have opposite sides that are congruent and parallel?
A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Congruent means exactly the same. In this case, a parallelogram has opposite sides that are parallel and congruent meaning that they have the same length. Here is a parallelogram.
What Quadrilaterals have opposite sides that are congruent?
A quadrilateral that has opposite sides that are congruent and parallel can be a parallelogram, rhombus, rectangle or square.
Which quadrilateral has equal opposite sides and all of its angles congruent?
A rhombus is a quadrilateral with all four sides having equal lengths. The Opposite sides of a rhombus are equal and parallel, and the opposite angles are the same.
Which quadrilateral has a pair of opposite non congruent parallel sides?
Trapezoid
| Term | Definition |
|---|---|
| Quadrilateral | A quadrilateral is a closed figure with four sides and four vertices. |
| Rectangle | A rectangle is a quadrilateral with four right angles. |
| Rhombus | A rhombus is a quadrilateral with four congruent sides. |
| Trapezoid | A trapezoid is a quadrilateral with exactly one pair of parallel opposite sides. |
Are parallel sides congruent?
One is that each pair of parallel sides is congruent. In the first figure above, the two short sides are the same length and the two long sides are the same length. This special relationship between the pairs of sides affects the angles of a parallelogram: the angles opposite each other are congruent.
What sides of a quadrilateral are parallel?
Quadrilateral Summary
| Name | Definition | Example |
|---|---|---|
| Trapezoid | Exactly 1 pair of parallel sides | Created with Raphaël |
| Rectangle | 4 right angles | Created with Raphaël |
| Rhombus | 4 equal sides | Created with Raphaël |
| Square | 4 equal sides and 4 right angles | Created with Raphaël |
Are opposite angles of a trapezoid congruent?
The bases (top and bottom) of an isosceles trapezoid are parallel. Opposite sides of an isosceles trapezoid are the same length (congruent). The angles on either side of the bases are the same size/measure (congruent).