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
To solve this problem, we need to check each shape to see if the dotted line drawn on it is actually a line of symmetry.
What is a line of symmetry?
A line of symmetry is like a mirror line. If you were to fold the picture exactly along the dotted line, the two halves would match up perfectly. Every part on one side must have a matching part on the other side at the same distance from the line.
Let's look at each shape one by one:
1. Square (Top Left): The dotted line goes horizontally through the middle. The top half is a perfect mirror image of the bottom half. Yes, this has a line of symmetry.
2. Circle (Top Middle): The dotted line goes vertically through the center. Both sides are identical semi-circles. Yes, this has a line of symmetry.
3. Hexagon (Top Right): This is a regular hexagon (all sides equal). The dotted line connects opposite corners. Because the shape is regular, folding it along this diagonal line makes the two halves match perfectly. Yes, this has a line of symmetry.
4. Heart (Middle Left): The dotted line is diagonal. A heart usually has a vertical line of symmetry down the middle. If you fold it along this diagonal line, the rounded top lobes will not match the pointed bottom. No, this is not a line of symmetry.
5. Rectangle (Middle Center): The dotted line goes vertically through the middle. The left side matches the right side perfectly. Yes, this has a line of symmetry.
6. Star (Middle Right): The dotted line goes horizontally through the middle. The top point matches the bottom "V" shape? No, wait. Let's look closer. The top half has one point sticking up. The bottom half has two legs sticking down. They do not match. If you folded it, the top point would land in the empty space between the bottom legs. No, this is not a line of symmetry.
7. Pentagon (Bottom Left): The dotted line goes horizontally. The top is a point, and the bottom is a flat side. They do not match. No, this is not a line of symmetry.
8. Triangle (Bottom Middle): This looks like an equilateral triangle. The dotted line goes from a corner to the opposite side, but it is slanted. It does not go straight to the middle of the opposite side (which would be the symmetry line). Because the line is off-center/slanted, the two sides are different sizes. No, this is not a line of symmetry.
9. Oval / Ellipse (Bottom Right): The dotted line goes horizontally through the widest part. The top curve matches the bottom curve perfectly. Yes, this has a line of symmetry.
Summary of shapes to circle:
* Square
* Circle
* Hexagon
* Rectangle
* Oval
Final Answer:
You should circle the following pictures:
1. The Square (top left)
2. The Circle (top middle)
3. The Hexagon (top right)
4. The Rectangle (center)
5. The Oval (bottom right)
What is a line of symmetry?
A line of symmetry is like a mirror line. If you were to fold the picture exactly along the dotted line, the two halves would match up perfectly. Every part on one side must have a matching part on the other side at the same distance from the line.
Let's look at each shape one by one:
1. Square (Top Left): The dotted line goes horizontally through the middle. The top half is a perfect mirror image of the bottom half. Yes, this has a line of symmetry.
2. Circle (Top Middle): The dotted line goes vertically through the center. Both sides are identical semi-circles. Yes, this has a line of symmetry.
3. Hexagon (Top Right): This is a regular hexagon (all sides equal). The dotted line connects opposite corners. Because the shape is regular, folding it along this diagonal line makes the two halves match perfectly. Yes, this has a line of symmetry.
4. Heart (Middle Left): The dotted line is diagonal. A heart usually has a vertical line of symmetry down the middle. If you fold it along this diagonal line, the rounded top lobes will not match the pointed bottom. No, this is not a line of symmetry.
5. Rectangle (Middle Center): The dotted line goes vertically through the middle. The left side matches the right side perfectly. Yes, this has a line of symmetry.
6. Star (Middle Right): The dotted line goes horizontally through the middle. The top point matches the bottom "V" shape? No, wait. Let's look closer. The top half has one point sticking up. The bottom half has two legs sticking down. They do not match. If you folded it, the top point would land in the empty space between the bottom legs. No, this is not a line of symmetry.
7. Pentagon (Bottom Left): The dotted line goes horizontally. The top is a point, and the bottom is a flat side. They do not match. No, this is not a line of symmetry.
8. Triangle (Bottom Middle): This looks like an equilateral triangle. The dotted line goes from a corner to the opposite side, but it is slanted. It does not go straight to the middle of the opposite side (which would be the symmetry line). Because the line is off-center/slanted, the two sides are different sizes. No, this is not a line of symmetry.
9. Oval / Ellipse (Bottom Right): The dotted line goes horizontally through the widest part. The top curve matches the bottom curve perfectly. Yes, this has a line of symmetry.
Summary of shapes to circle:
* Square
* Circle
* Hexagon
* Rectangle
* Oval
Final Answer:
You should circle the following pictures:
1. The Square (top left)
2. The Circle (top middle)
3. The Hexagon (top right)
4. The Rectangle (center)
5. The Oval (bottom right)
Parent Tip: Review the logic above to help your child master the concept of symmetry worksheet for 2nd grade.