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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.
Standard #: MAFS.4.G.1.3Archived Standard
Standard Information
General Information
Subject Area: Mathematics
Grade: 4
Domain-Subdomain: Geometry
Cluster: Draw and identify lines and angles, and classify shapes by properties of their lines and angles. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Related Courses
Related Resources
Formative Assessments
  • Identifying and Explaining Symmetry # Students are asked to determine if lines drawn on two-dimensional figures are lines of symmetry and to explain their decisions.
  • Using Lines of Symmetry # Students are asked to use a line of symmetry to complete a drawing. Additionally, they consider how to describe a line of symmetry.
  • Line Symmetry # Students are asked to identify line-symmetric figures and then draw the lines of symmetry.
  • Squares and Lines of Symmetry # Students are asked to determine how many lines of symmetry a square has by drawing the lines of symmetry. Students then consider whether all quadrilaterals have four lines of symmetry.
Image/Photograph
  • Clipart: Geometric Shapes # In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.
Lesson Plans
  • ABC Symmetry # Students will explore the concept of line symmetry in this lesson. Students will explore two-dimensional pictures and decide whether or not each image has symmetry. Students will also fold pre-cut capital letters to decide whether or not each letter has symmetry.
  • Symmetrical Solutions # Students will use paper cutout and geoboards to find and create lines of symmetry. Students will have the opportunity to work with a partner and independently.
Original Student Tutorial
Problem-Solving Tasks
  • Lines of symmetry for triangles # This activity provides students an opportunity to recognize these distinguishing features of the different types of triangles before the technical language has been introduced. For finding the lines of symmetry, cut-out models of the four triangles would be helpful so that the students can fold them to find the lines.
  • Lines of symmetry for quadrilaterals # This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry.
  • Lines of symmetry for circles # This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly abstract, students can understand infinity in an informal way.
Teaching Idea
  • Same Shapes # The problem challenges and extends students' spatial awareness with 2D shapes. The students are given three different irregular shapes. The goal is to divide each of them into two parts that are exactly the same shape and size.

    The Teacher's Notes page offers rationale, suggestions for implementation with a link to Happy Halving (cataloged separately), discussion questions, and ideas for extension and support.

    Teachers can print the "printable page" for students. Students could cut out shapes and fold to find the line of symmetry, use grid paper, and/or use geoboards.
Virtual Manipulative
  • Shape Tool # This virtual manipulative allows you to create, color, enlarge, shrink, rotate, reflect, slice, and glue geometric shapes, such as: squares, triangles, rhombi, trapezoids and hexagons.
MFAS Formative Assessments
  • Identifying and Explaining Symmetry # Students are asked to determine if lines drawn on two-dimensional figures are lines of symmetry and to explain their decisions.
  • Line Symmetry # Students are asked to identify line-symmetric figures and then draw the lines of symmetry.
  • Squares and Lines of Symmetry # Students are asked to determine how many lines of symmetry a square has by drawing the lines of symmetry. Students then consider whether all quadrilaterals have four lines of symmetry.
  • Using Lines of Symmetry # Students are asked to use a line of symmetry to complete a drawing. Additionally, they consider how to describe a line of symmetry.
Original Student Tutorials Mathematics - Grades K-5
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