Worked Example 1
More Than One Line
How many lines of symmetry does a triangle with 3 equal sides have?
- 1Fold from each corner to the middle of the opposite side.
- 2Each of these 3 folds makes matching halves.
Answer: 3 lines of symmetry
Florida Grade 3 Math · Geometric Reasoning
MA.3.GR.1.3: Lines of Symmetry
What this Grade 3 benchmark means, worked examples, common mistakes, and a free printable worksheet.
Created by a Florida mom · Published by Tropical Learning LLC
What Is Benchmark MA.3.GR.1.3?
A line of symmetry divides a figure into two halves that match exactly when folded. Students draw lines of symmetry and identify figures that are line-symmetric.
A figure can have no line of symmetry, exactly one, or more than one. Folding paper is a great way to check.
Official benchmarkDraw line(s) of symmetry in a two-dimensional figure and identify line-symmetric two-dimensional figures.
On the FAST test: part of the Grade 3 reporting category Geometric Reasoning, Measurement, and Data Analysis and Probability, which is about 23–29% of the test.
Worked Examples
Worked Example 2
No Lines of Symmetry
Does the capital letter F have a line of symmetry?
- 1Fold it top to bottom: the halves don't match.
- 2Fold it side to side: the halves don't match.
- 3No fold makes the two halves match.
Answer: No, F has no line of symmetry
Common Mistakes to Watch For
Thinking every shape has a line of symmetry
Wrong:Every shape has at least one line of symmetry.
Some figures have none, like the capital letter F.
Thinking the diagonal of a rectangle is a line of symmetry
Wrong:A long rectangle has 4 lines of symmetry, like a square.
Folding a long rectangle corner to corner doesn't make matching halves. It has only 2 lines of symmetry.
Helpful Math Tip
Fold paper cut-outs and letters to test each line. If the halves match exactly, it's a line of symmetry.
Related Grade 3 Skills
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