Classifying two-dimensional figures
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.
A square is a special kind of rectangle. It has four sides with equal angles
A rhombus is __________________ a square. Explain your answer.
A square can be a rhombus, but not all rhombuses are squares.
A parallelogram is ___________________ a rectangle. Explain your answer.
A rectangle can be a parallelogram, but not all parallelograms are rectangles.
Which two shapes are not squares? Select and explain your answer.
Shape 2 and 3.
Which shape is not parallelograms? Select and explain your answer.
Two of its sides are not parallel.