If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.Besides, what shapes have both pairs of opposite sides are congruent?
A quadrilateral is a parallelogram if: Both pairs of opposite sides are congruent. If they are congruent, they must also be parallel.
Beside above, which figure is a quadrilateral that has opposite sides that are congruent and parallel? parallelogram
Subsequently, one may also ask, what is a quadrilateral with both pairs of opposite sides parallel?
A parallelogram is a quadrilateral with both pairs of opposite sides parallel. DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite sides congruent.
Which quadrilateral has only one pair of parallel sides?
trapezoids
What shape has 4 sides with different lengths?
rhombus
What is a four sided shape with unequal sides called?
A quadrilateral is a square if and only if it is both a rhombus and a rectangle (four equal sides and four equal angles). Oblong: a term sometimes used to denote a rectangle that has unequal adjacent sides (i.e. a rectangle that is not a square). Kite: two pairs of adjacent sides are of equal length.What does it mean to be congruent?
The adjective congruent fits when two shapes are the same in shape and size. If you lay two congruent triangles on each other, they would match up exactly. Congruent comes from the Latin verb congruere "to come together, correspond with." Figuratively, the word describes something that is similar in character or type.What is a rectangle but not a parallelogram?
It is true that every rectangle is a parallelogram, but it is not true that every parallelogram is not a rectangle. For instance, take a square. It's a parallelogram — it is a quadrilateral with two pairs of parallel faces. But it is also a rectangle — it is a quadrilateral with four right angles.Is a parallelogram perpendicular?
If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. If a quadrilateral is a rhombus, then it is a parallelogram. If a parallelogram is a rhombus, then its diagonals are perpendicular. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.Is rectangle a parallelogram?
A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.What are 4 types of quadrilaterals?
A quadrilateral is a four-sided polygon with four angles. There are many kinds of quadrilaterals. The five most common types are the parallelogram, the rectangle, the square, the trapezoid, and the rhombus.Is rhombus a parallelogram?
DEFINITION: A rhombus is a parallelogram with four congruent sides. THEOREM: If a parallelogram is a rhombus, each diagonal bisects a pair of opposite angles. THEOREM Converse: If a parallelogram has diagonals that bisect a pair of opposite angles, it is a rhombus.Are parallel lines equal?
Parallel Lines. Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet.What is a unique parallelogram?
Definition Of A Parallelogram All squares and rectangles are parallelograms, they are just special parallelograms where all interior angles are right angles. A rhombus is a special kind of parallelogram in which all four sides are equal length.Is 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).Why are the opposite sides of a parallelogram equal?
Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.What is not a parallelogram?
An ordinary quadrilateral with no equal sides is not a parallelogram. A kite has no parallel lines at all. A trapezium and and an isosceles trapezium have one pair of opposite sides parallel. A Concave quadrilateral or arrowhead does not have parallel sides.What are special Quadrilaterals?
Special quadrilaterals: Information sheet A trapezium is a quadrilateral with one pair of sides parallel. A kite is a quadrilateral with two pairs of adjacent sides equal. A parallelogram is a quadrilateral whose opposite sides are parallel. A rhombus is a quadrilateral with all sides equal.Are the diagonals of a rectangle perpendicular?
As you can see from the pictures to the left, the diagonals of a rectangle do not intersect in a right angle (they are not perpendicular). (Unless the rectangle is a square.) And the angles formed by the intersection are not always the same measure (size). Opposite central angles are the same size (they are congruent.)What is a scalene triangle?
A scalene triangle is a triangle that has three unequal sides, such as those illustrated above. SEE ALSO: Acute Triangle, Equilateral Triangle, Isosceles Triangle, Obtuse Triangle, Triangle. CITE THIS AS: Weisstein, Eric W. "Are trapezoids parallelograms?
No, a trapezoid is not a parallelogram. A trapezoid is defined as having Exactly two parallel sides while a parallelogram has two pairs of parallel sides. 
