Printable Symmetry Worksheet With 2D Shapes - Free Printable
Educational worksheet: Printable Symmetry Worksheet With 2D Shapes. Download and print for classroom or home learning activities.
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Step-by-step solution for: Printable Symmetry Worksheet With 2D Shapes
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Show Answer Key & Explanations
Step-by-step solution for: Printable Symmetry Worksheet With 2D Shapes
You're asked to circle the pictures that have a line of symmetry.
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A line of symmetry is a line that divides a shape into two identical halves — each half is a mirror image of the other. If you fold the shape along the line, the two sides match perfectly.
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#### Row 1:
1. Square – ✔️ YES
The dotted line shown is horizontal, and it divides the square into two equal rectangles. A square has *4* lines of symmetry (horizontal, vertical, and two diagonals). So yes, it has a line of symmetry.
2. Circle – ✔️ YES
The vertical dotted line shown divides the circle into two equal halves. A circle has *infinite* lines of symmetry — any line through its center works.
3. Hexagon – ✔️ YES
The dotted line is diagonal, but since it’s a regular hexagon, it has multiple lines of symmetry. Even if the line shown isn’t perfectly centered, in this context, it’s meant to represent a valid line of symmetry. Regular hexagons have 6 lines of symmetry.
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#### Row 2:
4. Heart – ✘ NO (as drawn)
The dotted line is diagonal, but a heart typically only has one line of symmetry — a *vertical* one down the middle. The diagonal line shown does *not* divide the heart into mirror images. So this does NOT have a line of symmetry along the dotted line, and since the task is to circle shapes that *have* a line of symmetry (and the dotted line is given as a hint), we should not circle this one.
> ⚠️ Note: If the heart had a vertical dotted line, it would be symmetrical. But here, the line is diagonal — so it doesn't work.
5. Rectangle – ✔️ YES
The vertical dotted line divides it into two equal parts. A rectangle has 2 lines of symmetry: vertical and horizontal through the center.
6. Star (5-pointed) – ✔️ YES
The horizontal dotted line goes through the center and divides the star symmetrically. A regular 5-pointed star has 5 lines of symmetry — one through each point and the opposite dip. So yes, it has symmetry.
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#### Row 3:
7. Pentagon – ✔️ YES
Assuming it’s a regular pentagon, the horizontal dotted line shown is likely intended to be a line of symmetry. Regular pentagons have 5 lines of symmetry — one from each vertex to the midpoint of the opposite side. So even though the line is horizontal, if it’s drawn correctly through the center, it’s valid.
8. Triangle – ✔️ YES (if equilateral or isosceles)
The dotted line is diagonal, going from top vertex to base. If it’s an isosceles triangle (two equal sides), then this line is the axis of symmetry. Since the shape looks like an isosceles triangle, we assume it’s symmetrical along that line. If it were scalene, it wouldn’t be — but in educational contexts like this, it’s safe to assume symmetry.
9. Oval (ellipse) – ✔️ YES
The horizontal dotted line divides it into two equal halves. An oval (ellipse) has 2 lines of symmetry: horizontal and vertical through the center.
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✔ Square
✔ Circle
✔ Hexagon
✔ Rectangle
✔ Star
✔ Pentagon
✔ Triangle
✔ Oval
✘ Do NOT circle: Heart (because the dotted line shown is diagonal, not vertical)
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Circle all shapes EXCEPT the heart.
> 💡 Tip for students: Look at the dotted line — if folding along it makes both sides match, it’s symmetrical!
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✔ Answer: Circle all except the heart.
Let me know if you’d like a visual guide or printable answer key!
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✔ What is a line of symmetry?
A line of symmetry is a line that divides a shape into two identical halves — each half is a mirror image of the other. If you fold the shape along the line, the two sides match perfectly.
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🔍 Let’s go through each shape:
#### Row 1:
1. Square – ✔️ YES
The dotted line shown is horizontal, and it divides the square into two equal rectangles. A square has *4* lines of symmetry (horizontal, vertical, and two diagonals). So yes, it has a line of symmetry.
2. Circle – ✔️ YES
The vertical dotted line shown divides the circle into two equal halves. A circle has *infinite* lines of symmetry — any line through its center works.
3. Hexagon – ✔️ YES
The dotted line is diagonal, but since it’s a regular hexagon, it has multiple lines of symmetry. Even if the line shown isn’t perfectly centered, in this context, it’s meant to represent a valid line of symmetry. Regular hexagons have 6 lines of symmetry.
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#### Row 2:
4. Heart – ✘ NO (as drawn)
The dotted line is diagonal, but a heart typically only has one line of symmetry — a *vertical* one down the middle. The diagonal line shown does *not* divide the heart into mirror images. So this does NOT have a line of symmetry along the dotted line, and since the task is to circle shapes that *have* a line of symmetry (and the dotted line is given as a hint), we should not circle this one.
> ⚠️ Note: If the heart had a vertical dotted line, it would be symmetrical. But here, the line is diagonal — so it doesn't work.
5. Rectangle – ✔️ YES
The vertical dotted line divides it into two equal parts. A rectangle has 2 lines of symmetry: vertical and horizontal through the center.
6. Star (5-pointed) – ✔️ YES
The horizontal dotted line goes through the center and divides the star symmetrically. A regular 5-pointed star has 5 lines of symmetry — one through each point and the opposite dip. So yes, it has symmetry.
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#### Row 3:
7. Pentagon – ✔️ YES
Assuming it’s a regular pentagon, the horizontal dotted line shown is likely intended to be a line of symmetry. Regular pentagons have 5 lines of symmetry — one from each vertex to the midpoint of the opposite side. So even though the line is horizontal, if it’s drawn correctly through the center, it’s valid.
8. Triangle – ✔️ YES (if equilateral or isosceles)
The dotted line is diagonal, going from top vertex to base. If it’s an isosceles triangle (two equal sides), then this line is the axis of symmetry. Since the shape looks like an isosceles triangle, we assume it’s symmetrical along that line. If it were scalene, it wouldn’t be — but in educational contexts like this, it’s safe to assume symmetry.
9. Oval (ellipse) – ✔️ YES
The horizontal dotted line divides it into two equal halves. An oval (ellipse) has 2 lines of symmetry: horizontal and vertical through the center.
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🟢 Final Answer — Circle these shapes:
✔ Square
✔ Circle
✔ Hexagon
✔ Rectangle
✔ Star
✔ Pentagon
✔ Triangle
✔ Oval
✘ Do NOT circle: Heart (because the dotted line shown is diagonal, not vertical)
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✏️ Summary for the worksheet:
Circle all shapes EXCEPT the heart.
> 💡 Tip for students: Look at the dotted line — if folding along it makes both sides match, it’s symmetrical!
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✔ Answer: Circle all except the heart.
Let me know if you’d like a visual guide or printable answer key!
Parent Tip: Review the logic above to help your child master the concept of printable symmetrical shapes.