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Grade 5 - Mathematics
7.14 Diagonals of Polygons

The number of diagonals in a polygon = 1/2 N(N-3), where N is the number of sides of a polygon

Example: How many diagonals does a hexagon have?

The number of diagonals in a polygon = 1/2 N(N-3)
Here N = 6
= 1/2 x 6 (6-3)
= 3 x 3
= 9
Answer: 9


Directions: Answer the following questions. Also draw draw and calculate how many diagonals does triangle, rectangle, square, parallelogram, trapezoid, rhombus, kite, pentagon, hexagon, heptagon, octagon, nonagon and decagon have.
Q 1: How many diagonals does a parallelogram have?

2
3
4

Q 2: How many diagonals does a hexagon have?

10
9
8

Q 3: How many diagonals does a pentagon have?

6
4
5

Q 4: How many diagonals does a heptagon have?

14
15
16

Q 5: How many diagonals does a rectangle have?

3
4
2

Q 6: How many diagonals does a trapezoid have?

4
2
3

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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