To solve the problem of drawing lines of symmetry on the given shapes, we need to identify and draw all possible lines of symmetry for each shape. 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.
Let's analyze each shape step by step:
---
Shape a: Diamond (Rhombus)
- A diamond is a type of rhombus.
- It has
2 lines of symmetry: one vertical and one horizontal.
- Draw these lines through the center of the diamond.
---
Shape b: Bone
- The bone shape is symmetrical along its central axis.
- It has
1 line of symmetry: vertical.
- Draw this line down the middle of the bone.
---
Shape c: Letter T
- The letter "T" is symmetrical along its vertical axis.
- It has
1 line of symmetry: vertical.
- Draw this line down the middle of the "T".
---
Shape d: Triangle
- This is an equilateral triangle.
- It has
3 lines of symmetry: one through each vertex to the midpoint of the opposite side.
- Draw these three lines.
---
Shape e: Arrow
- The arrow is symmetrical along its vertical axis.
- It has
1 line of symmetry: vertical.
- Draw this line down the middle of the arrow.
---
Shape f: Octagon
- This is a regular octagon.
- It has
8 lines of symmetry: 4 vertical/horizontal and 4 diagonal.
- Draw these 8 lines through the center of the octagon.
---
Shape g: Arrow
- This arrow is similar to shape e but oriented differently.
- It has
1 line of symmetry: vertical.
- Draw this line down the middle of the arrow.
---
Shape h: Letter M
- The letter "M" is symmetrical along its vertical axis.
- It has
1 line of symmetry: vertical.
- Draw this line down the middle of the "M".
---
Shape i: Star
- This is a regular star (pentagram).
- It has
5 lines of symmetry: one through each point to the midpoint of the opposite side.
- Draw these 5 lines.
---
Final Answer Summary
Here is the list of lines of symmetry for each shape:
-
a. Diamond: 2 lines (vertical and horizontal)
-
b. Bone: 1 line (vertical)
-
c. Letter T: 1 line (vertical)
-
d. Triangle: 3 lines (through each vertex to the midpoint of the opposite side)
-
e. Arrow: 1 line (vertical)
-
f. Octagon: 8 lines (4 vertical/horizontal and 4 diagonal)
-
g. Arrow: 1 line (vertical)
-
h. Letter M: 1 line (vertical)
-
i. Star: 5 lines (through each point to the midpoint of the opposite side)
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{a.} & 2 \text{ lines} \\
\text{b.} & 1 \text{ line} \\
\text{c.} & 1 \text{ line} \\
\text{d.} & 3 \text{ lines} \\
\text{e.} & 1 \text{ line} \\
\text{f.} & 8 \text{ lines} \\
\text{g.} & 1 \text{ line} \\
\text{h.} & 1 \text{ line} \\
\text{i.} & 5 \text{ lines} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of line of symmetry worksheet.
