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Right angles in shapes (informal definition)

Identify right angles in shapes.

Introduction

Many shapes have corners. We call a corner a right angle if we can fit a little square perfectly inside it.

Consider the trapezoid

Let's draw a square in each corner.
In which corners did the little square fit perfectly?
The trapezoid has two right angles.

Practice

First, let's study some more examples.
Now, try it yourself.
How many right angles are in this square?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

How many right angles are in this pentagon?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Challenge problem

How many right angles does this shape have?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

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