Download GCC_HWS 7-3 trapezoids and kites

Name: ____________________________________ Date: __________________________
Geometry CC HW 7-3: Trapezoid and Kite Proofs
1) If DUNK is a quadrilateral, then prove it is a right trapezoid.
D(-4, 2), U(-2, 6), N(3, 6), and K(0, 0) form quadrilateral DUNK.
2) Determine whether the points A(4, 5), B(-3, 3),
C(-6, -13), and D(6, -2) are the vertices of a kite.
Explain your answer using coordinate
geometry!
3) Prove the diagonals of the isosceles trapezoid are congruent.
(Yes, there are no numerals, just variables! You need to use your algebraic skills from last year!!)
4) I can be a rectangle, a quadrilateral, a rhombus, and a parallelogram. All of my sides are
equal and I have four right angles?
What am I?_________________________
5) I am a quadrilateral. Two of my sides are parallel and two are not. What am I?___________
6) I am a quadrilateral with two pairs of parallel sides. My opposite sides are equal in length
and my opposite angles are equal. What am I?_____________
7) I am a quadrilateral and a parallelogram. All four of my sides are the same length. My
opposite angles are equal. My diagonals are not congruent. What am I?_______________
8) I am a parallelogram and a quadrilateral. My opposite sides are equal. My consecutive
sides are not equal. I have four right angles. What am I?___________________
9) Caitlin has to deliver a package to a client. Before she can reach
the client's office, she has to travel 3 km due to east, then 7 km due to
south, and then 6 km due to west. How far to the nearest mile
is their office from the client's office?