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Lines of Symmetry (Grade 4)

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Common Core For Grade 4

Videos, examples, solutions, and lessons to help Grade 4 students learn to recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

Common Core: 4.G.3

Suggested Learning Targets

  • I can identify shapes with symmetry.
  • I can define symmetry.
  • I can draw a line of symmetry.
Line of Symmetry
This video gives the definition of line symmetry and asks students to identify it within several images.
Line Symmetry
This video will review with you the basics of line symmetry
Line Symmetry - A figure has line symmetry if a line can be drawn through the figure so that each half is a mirror image of the other.

Lines of Symmetry
How to identify lines of symmetry in geometric figures? Line Symmetry
Line Symmetry: Common Core Standards, Geometry 4.G.3 The following activities are from the Howard County Public School System.
Activity 1:

Caitlin and Gerry had to draw symmetrical figures.  Gerry drew the figure shown to the right and drew the dotted line through the figure.  Garry said, “The dotted line is a line of symmetry.”  Caitlin said, “The dotted line is not a line of symmetry.” 

rectangle symmetry 

Who is correct? Caitlin or Gerry.  Explain how you know that person’s statement is correct.

Activity 2:

Rosa and Steven were investigating quadrilaterals and symmetry in math class.   Rosa drew the quadrilateral to
Rosa drew the quadrilateral and found four lines of symmetry as shown.   
square symmetry 

She looked at Steven and said, “That makes sense.  A shape with four sides and four angles should have four lines of symmetry.”

Steven corrected Rosa, saying, “Not all four-sided shapes have four lines of symmetry.”  Then, he drew a four-sided figure to support his statement. Draw a figure to show what Steven might have drawn.

Lines of Symmetry
How to find lines of symmetry? Lines of Symmetry
In this lesson, we will find lines of symmetry in a diamond, a heart, and a sun.

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