Symmetry worksheet for identifying and drawing lines of symmetry in various shapes.

Problem Analysis:

The task involves understanding and applying the concept of symmetry. A shape has a line of symmetry if it can be folded along that line such that both halves match perfectly. Let's solve each part step by step.

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Part 1: Tell whether the dotted line on each shape represents a line of symmetry. Write yes or no.

#### Shape a:
- The shape is a curved, ribbon-like figure.
- The dotted line runs horizontally through the middle.
- If we fold the shape along this line, the two halves will not match perfectly because the curves do not align symmetrically.
- Answer: No

#### Shape b:
- The shape is a star with six points.
- The dotted line runs diagonally through the center.
- If we fold the shape along this line, the two halves will match perfectly because the star is symmetrical along this diagonal.
- Answer: Yes

#### Shape c:
- The shape is a rectangle with a diagonal line.
- The dotted line runs diagonally from one corner to the opposite corner.
- If we fold the shape along this line, the two halves will not match perfectly because the sides are not symmetrical along the diagonal.
- Answer: No

#### Shape d:
- The shape is a cross with a triangle on top.
- The dotted line runs horizontally through the middle.
- If we fold the shape along this line, the two halves will match perfectly because the cross and the triangle are symmetrical along this horizontal line.
- Answer: Yes

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

#### Shape e:
- The shape is an "L" shape.
- To find the line of symmetry, we need to determine if there is any line where folding the shape would result in matching halves.
- There is no vertical, horizontal, or diagonal line that would make the two halves match.
- No line of symmetry exists.

#### Shape f:
- The shape is a four-leaf clover.
- The shape is symmetrical along both vertical and horizontal axes.
- We can draw either a vertical or a horizontal line of symmetry.
- Draw a vertical line down the middle.

#### Shape g:
- The shape is a peace symbol.
- The shape is symmetrical along a vertical axis.
- Draw a vertical line down the middle.

#### Shape h:
- The shape is a rectangle with a protruding square on one side.
- The shape is symmetrical along a vertical axis passing through the center.
- Draw a vertical line down the middle.

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

#### Shape i:
- The shape is a curved line with a dashed line indicating the axis of symmetry.
- To complete the shape, reflect the given half across the dashed line.
- The completed shape will be a symmetrical, curved, heart-like figure.

#### Shape j:
- The shape is a curved line with a dashed line indicating the axis of symmetry.
- To complete the shape, reflect the given half across the dashed line.
- The completed shape will be a symmetrical, curved, leaf-like figure.

#### Shape k:
- The shape is a straight line with a protrusion and a dashed line indicating the axis of symmetry.
- To complete the shape, reflect the given half across the dashed line.
- The completed shape will be a symmetrical, angular figure.

#### Shape l:
- The shape is a trapezoid with a dashed line indicating the axis of symmetry.
- To complete the shape, reflect the given half across the dashed line.
- The completed shape will be a symmetrical trapezoid.

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Final Answers:

1. Part 1:
- a. No
- b. Yes
- c. No
- d. Yes

2. Part 2:
- e. No line of symmetry
- f. Draw a vertical line
- g. Draw a vertical line
- h. Draw a vertical line

3. Part 3:
- i. Reflect the given half to complete the heart-like shape.
- j. Reflect the given half to complete the leaf-like shape.
- k. Reflect the given half to complete the angular shape.
- l. Reflect the given half to complete the trapezoid.

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Final Answer Box:

\[
\boxed{
\text{Part 1: a. No, b. Yes, c. No, d. Yes} \\
\text{Part 2: e. No line, f. Vertical, g. Vertical, h. Vertical} \\
\text{Part 3: Complete shapes by reflecting given halves.}
}
\]