# MAFS.4.G.1.3Archived Standard Export Print
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.
General Information
Subject Area: Mathematics
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
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 of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications

• Assessment Limits :
Items that require constructing lines of symmetry must specify the shape category with regard to the number of sides (quadrilateral, triangle, pentagon, etc.). Items that include trapezoids must consider both the inclusive and exclusive definitions. Items may not use the term "kite" but may include the figure.
• Calculator :

No

• Context :

Allowable

Sample Test Items (4)

• Test Item #: Sample Item 2
• Question:

How many lines of symmetry does the following figure have? • Difficulty: N/A
• Type: EE: Equation Editor

• Test Item #: Sample Item 3
• Question:

A figure is shown. How many lines of symmetry does the figure have?

• Difficulty: N/A
• Type: EE: Equation Editor

## Related Courses

This benchmark is part of these courses.
5012060: Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5015060: Physical Education - Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712050: Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5001050: Art – Intermediate 2 (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current))
5020110: STEM Lab Grade 4 (Specifically in versions: 2016 - 2022, 2022 and beyond (current))
7701040: Access Art Grade 4 (Specifically in versions: 2018 - 2019, 2019 - 2023, 2023 and beyond (current))
7715040: Access Physical Education Grade 4 (Specifically in versions: 2018 - 2023, 2023 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## 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.

Type: Formative Assessment

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.

Type: Formative Assessment

Line Symmetry:

Students are asked to identify line-symmetric figures and then draw the lines of symmetry.

Type: Formative Assessment

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.

Type: Formative Assessment

## 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.

Type: Image/Photograph

## 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.

Type: Lesson Plan

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.

Type: Lesson Plan

## Original Student Tutorial

The Symmetry Sisters Save the Day:

Help the Symmetry Sisters save the City of Symmetry Line and the State of Arithmetic from the Radical Rat in this interactive tutorial!

Type: Original Student Tutorial

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.

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.

Type: Teaching Idea

## 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.

Type: Virtual Manipulative

## 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

The Symmetry Sisters Save the Day:

Help the Symmetry Sisters save the City of Symmetry Line and the State of Arithmetic from the Radical Rat in this interactive tutorial!

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Original Student Tutorial

The Symmetry Sisters Save the Day:

Help the Symmetry Sisters save the City of Symmetry Line and the State of Arithmetic from the Radical Rat in this interactive tutorial!

Type: Original Student Tutorial

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.

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.

## 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.

Type: Virtual Manipulative

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

## 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.

Type: Image/Photograph

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.

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.