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Symmetry of Objects

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Aligned To Common Core Standard:

Grade 4 Geometry - 4.G.3

How to Find Symmetry of Objects - The line of symmetry lies in every regular object that you find in the environment. We can say that a symmetry is something that can create a perfect reflection or mirror image of an object by drawing an imaginary line. The line of symmetry is also defined as the imaginary line or the line of axis that goes through the center of the object or shape dividing it into perfect identical halves. Let's try understanding this with the help of an example. Folding a figure or cutting it out from the center vertically can give us two identical halves. The two halves will be congruent to each other. The line from where the object will be cut or folded is the line of symmetry. Shapes and figures that are identical or have the exact resemblance to its other half, when they are divided into two or more equal portions are called symmetrical shapes. These lessons and worksheets will teach you how to recognize lines of symmetry in a variety of objects.

Printable Worksheets And Lessons

Homework Sheets

This section should help you master the concept of symmetry.

  • Qualify Homework 1 - If there is a line of symmetry, both sides of the line will be an exact mirror image of one another.
  • Draw Homework 2 - When we fold a shape in half and one half covers the other half, and we can say that the shape is symmetrical. And the fold line is the axis of symmetry.
  • Correct It Homework 3 - Imagine folding this picture along the dotted line. Answer: The two sides will not match up exactly. The dotted line is not a line of symmetry.

Practice Worksheets

Every different type of skill is broken into its own practice worksheets for you.

  • Practice 1 - The two sides match up exactly. The dotted line is a line of symmetry.
  • Practice 2 - Does the dashed line display symmetry? Write yes or no.
  • Practice 3 - Is the dotted line a line of symmetry?

Math Skill Quizzes

It was really challenging to get all this work on to one single printed page! I hope it works for you.

  • Quiz 1 - As we know that symmetry is when one shape becomes exactly like another if you flip, slide or turn it.
  • Quiz 2 - Now we can see that there are some lines through which some images are not same. Ask yourself if you could fold the object directly onto itself and have it be equal.
  • Quiz 3 - After observing the figure we can see that dotted line is dividing into four equal parts. (Not sure what the line meant to say so I omitted it.