Angles of Polygons
Parallelograms
Rhombi and Squares
Rectangles
Trapezoids
Random Quadrilaterals
Kites
Potpourri
100
What is the sum of the exterior angles of a decagon?
360
100
Below is a parallelogram. Find the indicated measure. 
15
100
The perimeter of a rhombus is 100ft. What is the length of one of the sides?
25ft.
100
Find the perimeter of the rectangle below.
46yds
100
Define trapezoid.
A trapezoid is a quadrilateral with one pair of parallel sides.
100
Below is a parallelogram. Find x.
0
100
Kite MJKL is shown below. Find ML.
sqrt(164) = 12.8
100
What are the congruent sides of isosceles trapezoids called?
legs
200
What is the sum of the interior angles of a nonagon?
1260, since (9-2)180 = 1260
200
Below is a parallelogram. Find the indicated measure. 
16
200
Polygon ABCD is a square. The measure of angle CAB is 5x. Find x. 
5x=45
x=9
200
Find x. 
We cannot find x, since we do not know what kind of quadrilateral this is.
200
WV is the midsegment of trapezoid QRSP. Find WV. 
9.2
200
Give all possible names for the polygon below.
quadrilateral, parallelogram, rhombus, rectangle, square
200
Find the measure of angle J.
84
200
Find the missing angle if Polygon BEDC is a parallelogram.
63
300
What is the measure of each interior angle of a regular pentagon? If necessary, round to the nearest tenth.
(5-2)180 = 540
540/5 = 108
300
Find the measure of angle M. 
Not enough information. We do not know if it is a parallelogram.
300
A rhombus is (sometimes/always/never) a square. Explain.
Sometimes. It is only in some cases that a rhombus has 4 right angles.
300
A rectangle is (sometimes/always/never) a square. Explain.
Sometimes, since there are some cases where a rectangle has all sides congruent, but not always.
300
Find x if Polygon CFED is a trapezoid.
17+5x+6x+31=180
x = 12
300
Give all possible names for the polygon below.
quadrilateral (four sides)
kite (two pairs of consecutive congruent sides)
300
Is this a kite? Explain.
Yes since it is a quadrilateral with two pairs of consecutive congruent sides.
Fun fact: concave kites like this one are called "darts".
300
DAILY DOUBLE!
You can bet all your money; (if you have 0 or negative money, you may bet up to 500).
Which three shapes have congruent diagonals?
400
The exterior angle of a regular polygon measures 8. What is the name of this polygon?
45-gon.
360/8 = 45
400
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You can bet all your money; (if you have 0 or negative money, you may bet up to 500).
Give the 5 properties specific to a parallelogram.
400
The perimeter of a square is 120. One side of the square measures (4x-10). Find x.
x=10
400
HIJK is a rectangle. Find HJ given the info below.
x=-3
HJ = 13
400
PQRS is a trapezoid.
140, since 4x-4=-15+5x.
x=11
180-40=140
400
What is the most SPECIFIC name for the quadrilateral below?
Isosceles trapezoid.
400
What is the definition of a kite?
A kite is a quadrilateral with two pairs of consecutive congruent sides.
400
What is the sum of 8 of the interior angles of a regular decagon?
(10-2)180
8(180)
1440
500
500
Below is a parallelogram. Find the missing measure. 
118
500
Name the parallelograms with perpendicular diagonals.
Rhombus, square, kites
500
The length of a rectangle is triple the width. The perimeter of the rectangle is 64m. What is the length of the rectangle?
24m
3w - length
w - width
3w+3w+w+w = 64
w = 8m, so l = 24m
500
VU is the median of trapezoid DEFG. 
x = 0 so FE = 15
500
Find the measure of angle S.
89, since x = 4
(Add up all interior angles and set equal to 360.)
500
Find y.
3y+225=360
3y=135
y=45
500
Find the perimeter of the kite below. Round to the nearest tenth.
42.2