Table of Contents
- 1 What shapes have opposite sides that are congruent and parallel?
- 2 Which quadrilateral does not have opposite angles that are congruent?
- 3 Does a parallelogram have opposite angles that are congruent?
- 4 Are opposite angles of a trapezoid congruent?
- 5 What quadrilateral has 4 congruent angles and opposite sides that are congruent and parallel?
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.
Do rhombus have opposite angles that are congruent?
The rhombus has the following properties: All of the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary). All sides are congruent by definition. The diagonals bisect the angles.
Which quadrilateral does not have opposite angles that are congruent?
scalene quadrilateral
A scalene quadrilateral is a four-sided polygon that has no congruent sides. Three examples are shown below.
Which quadrilateral has opposite angles congruent?
parallelogram
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. If a quadrilateral is a rectangle, then it is a parallelogram.
Does a parallelogram have opposite angles that are congruent?
Sal proves that opposite angles of a parallelogram are congruent.
Which of the following Quadrilaterals contains opposite angles that are congruent?
| Name of Quadrilateral | Description |
|---|---|
| Rectangle | 2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent. |
| Square | 4 congruent sides. 4 right angles (90°). Opposite sides are parallel. All angles are congruent. |
| Trapezoid | Only one pair of opposite sides is parallel. |
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).
What Quadrilaterals always have opposite angles that are congruent?
If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. If a quadrilateral is a rectangle, then it is a parallelogram.
What quadrilateral has 4 congruent angles and opposite sides that are congruent and parallel?
Why are opposite angles congruent?
Opposite angles are also congruent angles, meaning they are equal or have the same measurement. Two crossing lines actually create two sets of opposite angles that, when the measures of their angles are added all together, will equal 360 degrees and make a circle.