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23.3. Counting Diagonals in Convex Polygons
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2 cards from this lesson. Good the night before a test.
Try these first
- 1.
How many diagonals does a square have?
Hint
A square has 4 vertices; apply the diagonal formula.
- 2.
Is it possible for a triangle to have any diagonals? Why?
Hint
Think about how many vertices triangles have.
- 3.
How many diagonals can a pentagon have?
- 5
- 10
- 7
- 6
Hint
Apply the diagonal formula.
- 4.
True or False: A triangle has diagonals.
- True
- False
Hint
Think about how a triangle is formed.
- 5.
If a polygon has 16 sides, how many diagonals does it have?
Hint
Plug in n = 16 into the diagonal formula.
- 6.
Given a polygon with an unknown number of sides and 30 diagonals, determine the number of sides.
Hint
Rearranging the formula may help to isolate 'n'.
Exercises
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
4 more questions available
Enrol freeQuiz
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
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Enrol freeChallenge Problems
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting