Practice Symmetry in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A geometric property where a figure remains unchanged under a specific transformation such as reflection, rotation, or translation. A shape has reflection symmetry when a line divides it into two mirror-image halves, and rotational symmetry when it looks the same after turning by a certain angle.
A butterfly's wings are symmetric—fold it down the middle and both sides match.
Example 1
easyDoes a square have a line of symmetry? Draw and describe one.
Example 2
mediumHow many lines of symmetry does a regular pentagon have? Explain your reasoning.
Example 3
easyDoes the letter 'A' have a line of symmetry? If so, describe it.
Example 4
hardA shape has rotational symmetry of order 3. What is the smallest angle you can rotate it so it looks the same?