Determine whether the quadrilateral ABCD with vertices A0

� 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.

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

� ABCD is a parallelogram with diagonals that intersect each other at E. If AE = x 2 and EC = 6 x – 8, find all possible values of AC.

� Find the value of x in kite EFGH.

� Find � � each measure if m∠ 1 = 37. m∠ 2 m∠ 3 m∠ 6 m∠ 7 10. m∠ 5

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

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

� The lengths of the bases of a trapezoid are 8 and 14. What is the length of the midsegment?

� 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.

� Find BC

� 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

� The measure of each interior angle in a regular polygon is 162º. How many sides does the polygon have?

Statements Reasons 1. 2. 3. 4. 5. 6. 7.