Practice Counting Diagonals In Convex Polygons (23.3) - Full Binary Tree Definition
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Counting Diagonals in Convex Polygons

Practice - Counting Diagonals in Convex Polygons

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

How many diagonals does a square have?

💡 Hint: A square has 4 vertices; apply the diagonal formula.

Question 2 Easy

Is it possible for a triangle to have any diagonals? Why?

💡 Hint: Think about how many vertices triangles have.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

How many diagonals can a pentagon have?

5
10
7
6

💡 Hint: Apply the diagonal formula.

Question 2

True or False: A triangle has diagonals.

True
False

💡 Hint: Think about how a triangle is formed.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If a polygon has 16 sides, how many diagonals does it have?

💡 Hint: Plug in n = 16 into the diagonal formula.

Challenge 2 Hard

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'.

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Reference links

Supplementary resources to enhance your learning experience.