Theorem: The median of a trapezoid is parallel to each base and the length of the median equals one-half the sum of the lengths of the two bases. Whats the median of a trapezoid?Ī median of a trapezoid is the segment that joins the midpoints of the nonparallel sides (legs). It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required. (2) Its length equals half the sum of the base lengths.Ī trapezoid is a quadrilateral with one pair of opposite sides parallel. Theorem 55: The median of any trapezoid has two properties: (1) It is parallel to both bases. Recall that the median of a trapezoid is a segment that joins the midpoints of the nonparallel sides. How many properties does a trapezoid have? It has one pair of opposite angles that are equal. It has a property that its diagonals are perpendicular, and the point. One pair of opposite angles are equal for an Isosceles trapezoid. By definition, a kite is a quadrilateral that has two pairs of equal adjacent sides. Pairs of adjacent sides are equal for a Kite. It has two pairs of equal adjacent angles. What are the properties of parallelogram trapezoid and kite? A kite is symmetrical about its main diagonal.The longer or main diagonal bisects the other diagonal.It has 2 diagonals that intersect each other at right angles.It can be viewed as a pair of congruent triangles with a common base.The two angles are equal where the unequal sides meet.If the base angles are equal, the trapezoid is a special type called an isosceles trapezoid. Trapezoids are quadrilaterals that have one pair of parallel sides. Similarly, every kite is not a parallelogram, because the opposite sides of a kite are not necessarily parallel. Are kites and trapezoids always parallelograms? Each of the parallel sides is called a base.

A trapezoid is a quadrilateral with exactly one pair of parallel sides. What is the difference between a kite and a trapezoid?Ī kite is a quadrilateral with exactly two pairs of congruent consecutive sides. The area of a kite is equal to half of the product of the length of its diagonals.The longer diagonal of the kite bisects the shorter diagonal.The diagonals of a kite are perpendicular to each other.Design on your piece of paper the kite you would build. Ok, now that you know the properties of a kite you need to make a blue print of what your kite is going to look like.Kite Angle Bisector Conjecture Proof The vertex angles of a kite are bisected by a diagonal Kite Diagonal Bisector Conjecture Proof The diagonals connecting the vertex angles of a kite is the bisector of the other diagonal Kite Diagonals Conjecture Proof The diagonals of a kite are perpendicular

Kite Angles Conjecture Proof The non vertex angles of a kite are congruent Pick a conjecture and write a paragraph proof or make a flowchart proof.The diagonals connecting the vertex angles of a kite is the _ of the other diagonal.Explore with your kite, write down in your notebook any conjectures you come up with.

Fold through the endpoints and trace the two segments on the back of the patty paper.

On patty paper, draw two connected segments of different lengths, as shown.

A kite is a quadrilateral with two pairs of distinct congruent consecutive sides.

It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only needs to look good but also be geometrically correct! The Judges use to be math teachers so they are going to look to make sure your kite has all the properties it should.

Properties of a kite