Polygons
Parallel Lines
Angle Sums
Exterior Angles
MLB Playoffs
100
What are the 3 requirements for a shape to be a polygon?
1. Closed 2. Straight Sides 3. Sides do not cross
100
Identify the vertical angle pairs in the diagram drawn on the Whiteboard.
a and d, b and c, e and h, f and g
100
What is the formula for finding the angle sums of any polygon?
180(n - 2)
100
What is the exterior angle sum of any polygon?
360
100
List all the teams that made the 2017 MLB playoffs.
Twins, Yankees, Red Sox, Astros, Indians, Rockies, Diamondbacks, Nationals, Cubs, and Dodgers (10 total)
200
What is a regular polygon?
Polygon with all the same side lengths and all the same angle measures.
200
Identify the opposite interior angles in the diagram on the whiteboard.
c and f, e and d
200
What is the formula for finding the measure of an individual interior angle of a regular polygon?
180(n - 2) / n
200
What happens to the exterior angles of a polygon as the number of sides increase?
The exterior angles decrease in size.
200
For each of the playoff teams, list the city where they play.
Minnesota, New York, Boston, Houston, Cleveland, Colorado (Denver), Arizona (Phoenix), Washington D.C., Chicago, Los Angeles
300
What is the name of a polygon with 9 sides? Spelling counts!
Nonagon
300
Identify the opposite exterior angles in the diagram on the whiteboard.
a and h, b and g
300
What is the angle sum of a polygon with 33 sides?
5580 degrees
300
What is the size of each exterior angle in a regular pentagon?
72 degrees
300
What is the baseball championship called?
The World Series (bonus points if anyone can explain why it is called the World Series).
400
Is there a limit to the size of the interior angles of a regular polygon?
They must be less than 180 degrees.
400
Identify the corresponding angle pairs in the diagram on the whiteboard.
a and e, b and f, c and g, d and h
400
What is the measure of an interior angle of a polygon with 26 sides?
166.15 degrees
400
What is the measure of an exterior angle of a regular polygon with 18 sides?
20 degrees
400
Which baseball team has won the most championships?
The New York Yankees
500
Why will regular triangles, squares, and hexagons tile a flat surface, but regular pentagons and octagons won't?
The interior angles of regular triangles, squares, and hexagons are factors of 360-degrees.
500
An angle is 3 times larger than its supplement. What is the measure of the angle?
135 degrees.
500
The interior angles of a regular polygon each measure 168 degrees. How many sides does the regular polygon have?
30
500
If the exterior angles of a regular polygon each measure 15 degrees, how many sides does it have?
24
500
List all of the years the Tigers have won the World Series.
1935, 1945, 1968, 1984
M
e
n
u