Let's solve the problem step by step.
Task:
Determine whether the
dotted line in each shape is a
line of symmetry. If it is,
tick (✓) the picture.
A
line of symmetry divides a shape into two parts that are mirror images of each other. That means if you fold the shape along the dotted line, both sides should match perfectly.
We will analyze each of the six shapes one by one.
---
Shape 1 (Top Left):
- Shape: A zigzag-like figure on the left side.
- Dotted line: Vertical, running through the center.
- Observation: The left and right sides do
not mirror each other. The shape is not symmetric about this vertical line.
-
✔ Not a line of symmetry.
>
✘ Do
not tick.
---
Shape 2 (Top Right):
- Shape: A stepped shape resembling a mountain with a flat top.
- Dotted line: Horizontal, across the middle.
- Observation: The top half and bottom half are
mirror images across the horizontal line. Each "step" matches directly above/below.
-
✔ This is a line of symmetry.
> ✔️
Tick this one.
---
Shape 3 (Middle Left):
- Shape: A jagged polygon.
- Dotted line: Diagonal from top-left to bottom-right.
- Observation: If we reflect the shape over this diagonal, the parts do
not align. The shape does not have diagonal symmetry here.
-
✔ Not a line of symmetry.
>
✘ Do
not tick.
---
Shape 4 (Middle Right):
- Shape: Another zigzag shape.
- Dotted line: Diagonal from top-right to bottom-left.
- Observation: The shape appears to be mirrored across this diagonal. The points on one side correspond to points on the other side when reflected.
- Let’s check:
- Top-right corner → reflects to bottom-left corner.
- The zigzags seem to match.
-
✔ This is a line of symmetry.
> ✔️
Tick this one.
---
Shape 5 (Bottom Left):
- Shape: A symmetrical "M"-like or "W"-like shape.
- Dotted line: Horizontal, across the middle.
- Observation: The upper and lower parts are
identical — the top has two peaks, the bottom has two valleys. So yes, it's symmetric about the horizontal line.
-
✔ This is a line of symmetry.
> ✔️
Tick this one.
---
Shape 6 (Bottom Right):
- Shape: A curved, arrow-like shape pointing to the right.
- Dotted line: Vertical, through the center.
- Observation: The left side is wider and curves differently than the right. The shape is not mirrored across the vertical line.
-
✔ Not a line of symmetry.
>
✘ Do
not tick.
---
✔ Final Answer:
Tick the following pictures:
-
Top Right (horizontal symmetry)
-
Middle Right (diagonal symmetry)
-
Bottom Left (horizontal symmetry)
So,
three shapes should be ticked.
---
🔍 Summary of Ticks:
| Shape | Tick? | Reason |
|-------|--------|--------|
| 1 (Top Left) |
✘ | Not symmetric vertically |
| 2 (Top Right) | ✔️ | Symmetric horizontally |
| 3 (Middle Left) |
✘ | Not symmetric diagonally |
| 4 (Middle Right) | ✔️ | Symmetric diagonally |
| 5 (Bottom Left) | ✔️ | Symmetric horizontally |
| 6 (Bottom Right) |
✘ | Not symmetric vertically |
✔ Answer: Tick shapes 2, 4, and 5.
Parent Tip: Review the logic above to help your child master the concept of printable symmetrical shapes.
