Symmetry worksheet for students to identify, draw, and complete symmetrical figures.

Symmetry Worksheet Solution and Explanation

The worksheet focuses on understanding symmetry, specifically identifying lines of symmetry and completing symmetrical shapes. Let's solve each section step by step.

---

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

a.
- The shape is a bow tie.
- The dotted line runs horizontally through the middle.
- If we fold the shape along this line, both sides will match perfectly.
- Answer: Yes

b.
- The shape is a star.
- The dotted line runs diagonally.
- If we 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 square with one corner cut off.
- The dotted line runs diagonally.
- If we fold the shape along this line, the two halves will not match perfectly (the cut-off corner does not align with the other side).
- Answer: No

d.
- The shape is an arrow.
- The dotted line runs horizontally through the middle.
- If we fold the shape along this line, both sides will match perfectly.
- Answer: Yes

---

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

e.
- The shape is a letter "C".
- A vertical line can be drawn down the middle to divide the shape into two matching halves.
- Draw a vertical line down the middle.

f.
- The shape is a four-leaf clover.
- A horizontal line can be drawn through the middle to divide the shape into two matching halves.
- Draw a horizontal line through the middle.

g.
- The shape is a peace symbol.
- A vertical line can be drawn down the middle to divide the shape into two matching halves.
- Draw a vertical line down the middle.

h.
- The shape is a cross with a rectangle in the middle.
- A vertical line can be drawn down the middle to divide the shape into two matching halves.
- Draw a vertical line down the middle.

---

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

i.
- The shape is a heart with a vertical line of symmetry.
- To complete the heart, mirror the left side onto the right side.
- Draw the right half as a mirror image of the left half.

j.
- The shape is a leaf with a vertical line of symmetry.
- To complete the leaf, mirror the left side onto the right side.
- Draw the right half as a mirror image of the left half.

k.
- The shape is a staircase with a vertical line of symmetry.
- To complete the shape, mirror the left side onto the right side.
- Draw the right half as a mirror image of the left half.

l.
- The shape is a triangle with a horizontal line of symmetry.
- To complete the triangle, mirror the top half onto the bottom half.
- Draw the bottom half as a mirror image of the top half.

---

Final Answers:

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

#### Section 2:
- e. Draw a vertical line down the middle.
- f. Draw a horizontal line through the middle.
- g. Draw a vertical line down the middle.
- h. Draw a vertical line down the middle.

#### Section 3:
- i. Draw the right half as a mirror image of the left half.
- j. Draw the right half as a mirror image of the left half.
- k. Draw the right half as a mirror image of the left half.
- l. Draw the bottom half as a mirror image of the top half.

---

Final Boxed Answer:

\[
\boxed{
\text{a. Yes, b. No, c. No, d. Yes}
}
\]