A corner of a rectangle is cut, creating a trapezoid.

Given: ABCD is a kite.Prove: BD bisects AC.

Kite ABCD represents a softball field that is being built.
Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees.

On a coordinate plane, square A B C D is shown. Point A is at (3, 4), point B is at (2, negative 2), point C is at (negative 4, negative 1), and point D is at (negative 3, 5).



Statements

On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (0, negative 1), point W is at (4, 0), point Y is at (3, negative 2), and point Z is at (negative 1, negative 3).



In the diagram, WZ=.





Statements

Maggie puts together two isosceles triangles so that they share a base, creating a kite. Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches.



Quadrilateral A B C D is shown. Sides A D and B C are parallel. Sides A B and C D are congruent. Angle A is 115 degrees.
Figure ABCD is a parallelogram.

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm.What are the lengths of two adjacent sides of the parallelogram?
The angle measures of quadrilateral RSTU are shown.m∠R = (2x)°m∠S = (3x – 35)°m∠T = (x + 35)°
A carpenter cuts the corners of a rectangle to make the trapezoid shown.

Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.

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