Which quadrilateral is both a trapezoid and a rectangle?

Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. Trapezoid: A quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases)

Can a quadrilateral be a kite and a trapezoid?

THEOREM: If a quadrilateral is an isosceles trapezoid, the opposite angles are supplementary. THEOREM: (converse) If a trapezoid has its opposite angles supplementary, it is an isosceles trapezoid. A kite is a quadrilateral whose four sides are drawn such that there are two distinct sets of adjacent, congruent sides.

Is a quadrilateral always a trapezoid yes or no?

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals. Trapezoids are four-sided polygons, so they are all quadrilaterals.

How do you prove that a quadrilateral is a trapezoid?

To prove that it is a trapezoid, remember that the definition of a trapezoid is a quadrilateral with exactly one pair of parallel sides. Therefore, to prove it is a trapezoid you must verify that one pair of sides is parallel. From algebra, remember that two lines are parallel if they have the same slope.

How do you prove a quadrilateral is a kite?

How to Prove that a Quadrilateral Is a Kite

1. If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it’s a kite (reverse of the kite definition).
2. If one of the diagonals of a quadrilateral is the perpendicular bisector of the other, then it’s a kite (converse of a property).

What conditions is not sufficient to prove that a quadrilateral is a parallelogram?

The only shape you can make is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then it’s a parallelogram (converse of a property). If the diagonals of a quadrilateral bisect each other, then it’s a parallelogram (converse of a property).

Are all trapezoids quadrilaterals?

Quadrilateral: A closed figure with four sides. For example, kites, parallelograms, rectangles, rhombuses, squares, and trapezoids are all quadrilaterals.

What is the difference between a kite and a trapezoid?

In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.) An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides. (This definition excludes rhombi.

How do you prove that a quadrilateral is a kite?

To prove that a quadrilateral is a kite, either of the following methods can be used. 1. If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it is a kite (definition). 2. If one of the diagonals of a quadrilateral is the perpendicular bisector of the other diagonal, then it is a kite.

Is a trapezium isosceles or kite?

If the two non-parallel sides are equal and form equal angles at one of the bases, the trapezium is an isosceles trapezium. A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

How many pairs of adjacent congruent sides does a kite have?

Some textbooks say a kite has at least two pairs of adjacent congruent sides, so a rhombus is a special case of a kite.) A scalene quadrilateral is a four-sided polygon that has no congruent sides. Three examples are shown below.