12 Rotational Symmetry Worksheets 4th Grade - Free Printable

Symmetry Worksheet Solution and Explanation

The worksheet is divided into three sections:
1. Tell whether the dotted line on each shape represents a line of symmetry.
2. Draw a line of symmetry on each shape.
3. Draw the second half of each symmetrical shape.

Let's solve each section step by step.

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Section 1: Tell whether the dotted line on each shape represents a line of symmetry.

A line of symmetry is a line that divides a shape into two identical halves, such that one half is the mirror image of the other.

#### a.
- The shape is a bow tie.
- The dotted line runs horizontally through the middle.
- If you fold the shape along this line, the two halves will match perfectly.
- Answer: Yes

#### b.
- The shape is a star.
- The dotted line runs diagonally.
- If you fold the shape along this line, the two halves will not match perfectly (the points do not align symmetrically).
- Answer: No

#### c.
- The shape is a parallelogram.
- The dotted line runs diagonally.
- If you fold the shape along this line, the two halves will not match perfectly (the sides do not align symmetrically).
- Answer: No

#### d.
- The shape is an arrow.
- The dotted line runs horizontally through the middle.
- If you fold the shape along this line, the two halves will match perfectly.
- Answer: Yes

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Section 2: Draw a line of symmetry on each shape.

#### e.
- The shape is a backward "L."
- A vertical line through the middle will divide the shape into two identical halves.
- Line of symmetry: Vertical line down the middle.

#### f.
- The shape is a heart.
- A vertical line through the middle will divide the shape into two identical halves.
- Line of symmetry: Vertical line down the middle.

#### g.
- The shape is a peace symbol.
- A vertical line through the middle will divide the shape into two identical halves.
- Line of symmetry: Vertical line down the middle.

#### h.
- The shape is an irregular rectangle with a protruding square in the middle.
- A horizontal line through the middle will divide the shape into two identical halves.
- Line of symmetry: Horizontal line across the middle.

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Section 3: Draw the second half of each symmetrical shape.

#### i.
- The shape is a heart with the left half shown.
- To complete the symmetry, draw the right half as a mirror image of the left half.
- Completed shape: A full heart.

#### j.
- The shape is a curved line with the top half shown.
- To complete the symmetry, draw the bottom half as a mirror image of the top half.
- Completed shape: A full curved shape.

#### k.
- The shape is an L-shape with the top half shown.
- To complete the symmetry, draw the bottom half as a mirror image of the top half.
- Completed shape: A full L-shape.

#### l.
- The shape is a diamond with the left half shown.
- To complete the symmetry, draw the right half as a mirror image of the left half.
- Completed shape: A full diamond.

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Final Answers:

#### Section 1:
- a. Yes
- b. No
- c. No
- d. Yes

#### Section 2:
- e. Vertical line down the middle
- f. Vertical line down the middle
- g. Vertical line down the middle
- h. Horizontal line across the middle

#### Section 3:
- i. Full heart
- j. Full curved shape
- k. Full L-shape
- l. Full diamond

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Boxed Final Answer:

\[
\boxed{
\text{Section 1: a. Yes, b. No, c. No, d. Yes} \\
\text{Section 2: e. Vertical, f. Vertical, g. Vertical, h. Horizontal} \\
\text{Section 3: i. Full heart, j. Full curved shape, k. Full L-shape, l. Full diamond}
}
\]