Diagonals of Polygons

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Class:

Date:

Show your work for each problem.

1.
What is a diagonal in a polygon?
1. a)A side of the polygon
2. b)A line connecting two non-adjacent vertices
3. c)The perimeter of the polygon
4. d)An angle inside the polygon
2.
How many diagonals does a triangle have?
1. a)0
2. b)3
3. c)1
4. d)2
3.
How many diagonals does a quadrilateral (4 sides) have?
4.
How many diagonals does a pentagon (5 sides) have?
5.
In a square ABCD, which segments are diagonals?
1. a)AB and CD
2. b)AB and BC
3. c)AC and BD
4. d)BC and DA
6.
How many diagonals does a hexagon (6 sides) have?
7.
How many diagonals does an octagon (8 sides) have?
8.
Calculate the number of diagonals in a heptagon (7 sides).
9.
From one vertex of a hexagon, how many diagonals can be drawn?
1. a)5
2. b)6
3. c)4
4. d)3
10.
How many diagonals does a decagon (10 sides) have?
11.
A decorative tile is shaped like a nonagon (9 sides). How many diagonals does it have?
12.
A polygon has 5 diagonals. How many sides does it have?
13.
A polygon has 35 diagonals. How many sides does it have?
14.
A polygon has 44 diagonals. How many sides does it have?
15.
A dodecagon (12 sides) has how many more diagonals than an octagon (8 sides)?
1. a)34
2. b)24
3. c)44
4. d)54
16.
How many diagonals does a 15-sided polygon (pentadecagon) have?