1. Chapter 6 Review

2. Determine whether the quadrilateral ABCD with vertices A(0, 1), B(4, 3), C(5, −1),
D(−1, −7) is a kite. Justify your answer.

3. Given: TRAP is an isosceles trapezoid
m TPA = 70°, mRAZ = (5x – 8)°, mZAP = (2x + 1)°, PR = x + 2
Find the value of x.
Find TA

4. ABCD is a parallelogram with diagonals that intersect each other at E
ABCD is a parallelogram with diagonals that intersect each other at E. If AE = x2 and
EC = 6x – 8, find all possible values of AC.

5. Find the value of x in kite EFGH.

6. Given Rectangle GHJK Find each measure if m∠1 = 37. m∠2 m∠3 m∠6 m∠7

7. The sum of the interior angles of an animal pen is 900°
The sum of the interior angles of an animal pen is 900°. How many sides does the pen have?

8. Which pairs are equilateral quadrilaterals?
a) parallelogram and rectangle
b) trapezoid and rhombus
c) square and rhombus
d) square and rectangle
e) isosceles trapezoid and square

9. Which of the following is not a property of parallelograms?
a) Both pairs of opposite sides are congruent.
b) Diagonals intersect at their midpoints.
c) The sum of the angles is 360°.
d) Consecutive angles are supplementary.
e) Diagonals are perpendicular.

10. Each of the following quadrilaterals always has congruent diagonals except
a) a rectangle b) a kite
c) an isosceles trapezoid d) a square
e) all of them always have congruent diagonals

11. Give the most descriptive name
A) b)
C) d)