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Classifying two-dimensional figures
Overview
Many two-dimensional objects can be categorized as more than one shape. For example, is the image below a square or rectangle?
At first, we may say the image is a square. However, it is also a rectangle. Take a look at the chart below.
The chart shows how shapes can be organized into hierarchies based on their attributes.
By looking at the chart, we can see that a square is also a rectangle.
This is because a rectangle is a shape with four straight sides and four right angles.
A square has both of those attributes.
Is a rectangle a square?
By looking at the chart, we can see that a rectangle is a parallelogram, but not always a square.
To be a square, the sides of the shape must have equal lengths.
A rectangle does not need to have equal sides.
How do I organize shapes into a hierarchy?
In order to organize shapes into a hierarchy, you need to consider their attributes or properties. Let’s practice!
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A square is ___________ a rectangle. Explain your answer.
- Always
- Sometimes
- Never
Answer
Always
A square is a special kind of rectangle. It has four sides with equal angles
A rhombus is __________________ a square. Explain your answer.
- Always
- Sometimes
- Never
Answer
Sometimes
A square can be a rhombus, but not all rhombuses are squares.
A parallelogram is ___________________ a rectangle. Explain your answer.
- Always
- Sometimes
- Never
Answer
Sometimes
A rectangle can be a parallelogram, but not all parallelograms are rectangles.
Which two shapes are not squares? Select and explain your answer.
Answer
Shape 2 and 3.
Which shape is not parallelograms? Select and explain your answer.
Answer
Shape 3.
Two of its sides are not parallel.
Click on the quizzes below to test your knowledge.
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