1.
Which characteristic of a regular polygon is used to determine if it tessellates?
A.
The polygon has an even number of sides and angles.
B.
The angle measure at each vertex is a factor of 360.
C.
The sum of the measures of the angles is a multiple of 360.
D.
The angle measure at each vertex is less than 180.
Hint
2.
Which of the following angle measures represent the angles of a regular polygon that can be used to make a tessellation?
A.
144°
B.
90°
C.
150°
D.
135°
Hint
3.
The sum of the measures of the angles of a regular octagon is 1080°. What is the measure of each angle?
A.
108°
B.
120°
C.
135°
D.
144°
Hint
4.
In the tessellation below, name the polygons and determine how many of each type are at each vertex.
A.
one hexagon and four triangles
B.
two triangles and two hexagons
C.
none of the other choices; different vertices have different polygons forming them
D.
six triangles
Hint
5.
The sum of the angle measures of a regular hendecagon (an 11-sided polygon) is 1620°. What is the measure of each of the angles of the hendecagon? Round your answer to the nearest whole degree.
A.
150°
B.
144°
C.
147°
D.
90°
Hint