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Name: _______________________________Date: _________________ Blocks:____________
Freshmen Geometry 266 Test: Chapter 8 Quadrilaterals
Directions: Please show all work. Calculators are allowed. DO YOUR BEST. GOOD LUCK!
Find the sum of the measure of the interior angles of each convex polygon. (2 points each)
1) 11-gon
2) hexagon
Sum = ________
Sum = ________
3) The measure of an interior angle of a regular polygon is 144o. Find the number of sides in this
polygon. (2 points)
4) Find the measure of each interior and exterior angle of a regular 56-gon. (2 points)
Interior = _________
Exterior = _________
Find the measure of EACH interior angle in the following polygons. For #6, draw a figure!
(4 points each)
5)
6)
1
For #7-10 use parallelogram RSTU to find each measure or value. (2 points each)
For #11-12 use rectangle RSTU below. (3 points each, #11-15)
15) Determine whether each quadrilateral is a parallelogram using the following methods.
Justify your answer. For this problem, CHOOSE ONE (1) method to use. (4 points)
a) P(-5,1), S(-2, 2), F(-1, -3), T(2, -2)
Slope Formula; Distance and Slope Formula, OR Midpoint Formula
16) Determine whether quadrilateral BGHL is a rectangle given the following set of vertices.
Justify your answer. (4 points) Hint: Start by either using slope OR using distance formula.
B(-4, 5), G(6,0), H(3, -6), L(-7, -1)
17) Determine whether parallelogram BEFG is a rhombus, rectangle, or a square given the
following set of vertices. List all that apply. Explain your reasoning. (4 points)
B(-9, 1), E(2, 3), F(12, -2), G(1, -4)
18) RSTU is a quadrilateral with vertices R( -3, -3), S(5, 1), T(10, -2), U(-4, -9). (4 points total)
a) Verify that RSTU is a trapezoid.
b) Determine whether RSTU is an isosceles trapezoid. Explain.
For # 20- 30 write true or false. (1 point each)
20) A rectangle is always a parallelogram.
__________
21) The diagonals of a rhombus are always perpendicular.
__________
22) The diagonals of a square always bisect each other.
__________
23) A trapezoid always has two congruent sides.
__________
24) The median of a trapezoid is always parallel to the bases.
__________
25) If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rectangle. _______
26) Consecutive angles of a rectangle are complementary.
__________
27) A rhombus is always a square.
__________
28) A quadrilateral with two pairs of parallel sides is always a rectangle.
__________
29) If a quadrilateral is both a rhombus and a rectangle, then it is a square.
__________
30) A trapezoid is a quadrilateral with exactly one pair of parallel sides.
__________
33) Describe the main idea of this unit below. (1 point)
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~ End of Test  ~