Pin page - Free Printable
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Show Answer Key & Explanations
Step-by-step solution for: Pin page
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Show Answer Key & Explanations
Step-by-step solution for: Pin page
Let's solve this step by step. The task is to determine whether the dotted line on each shape is a line of symmetry. A line of symmetry divides a shape into two mirror-image halves — if you fold the shape along the line, both sides should match perfectly.
We’ll go through each shape (a to l) and decide "yes" or "no".
---
- A rectangle has two lines of symmetry: vertical and horizontal.
- The dotted line is vertical, going through the center.
- ✔ Yes — it splits the rectangle into two equal mirror-image halves.
> Answer: yes
---
- This looks like an isosceles triangle (or possibly equilateral), with the dotted line from the top vertex to the midpoint of the base.
- In an isosceles or equilateral triangle, this line is a line of symmetry.
- ✔ Yes — the left and right sides are mirror images.
> Answer: yes
---
- The shape is symmetric vertically? Let’s check:
- Left side: a rectangle on top and a smaller rectangle below (like a "T").
- Right side: same structure?
- But the bottom part is missing on one side? Wait — actually, the shape is symmetric about the vertical line.
- The "stem" of the T is centered, so folding along the dotted line would match both sides.
- ✔ Yes — it is symmetric.
> Answer: yes
---
- It looks like a house: a rectangle with a triangle roof.
- The dotted line goes through the peak of the roof and down the center.
- If the shape is symmetric (equal sides), then yes.
- From the drawing, both sides look identical.
- ✔ Yes — it's symmetric.
> Answer: yes
---
- The dotted line is horizontal, cutting through the middle of the E.
- But the E has three horizontal bars: top, middle, bottom.
- The horizontal line is through the middle bar.
- If we fold along this line, the top half and bottom half do not match:
- Top has one bar, bottom has one bar, but the middle bar is split.
- However, the left side of the E is not symmetric across a horizontal line.
- The E is not symmetric horizontally — only vertically? Actually, no: E does not have horizontal symmetry.
- ✘ No — the top and bottom parts don’t mirror each other.
> Answer: no
---
- This is a capital K inside a square.
- The dotted line is vertical, through the center.
- The left and right sides of the K are not symmetric — the diagonal strokes are on different sides.
- Folding along the vertical line won’t make the two sides match.
- ✘ No — not symmetric.
> Answer: no
---
- Looks like a M made of triangles.
- The dotted line goes through the middle peak.
- Is it symmetric? Yes — the left and right sides are mirror images.
- ✔ Yes — it's symmetric.
> Answer: yes
---
- A circle has infinite lines of symmetry.
- Any line passing through the center is a line of symmetry.
- The dotted line goes through the center diagonally.
- ✔ Yes — it's symmetric.
> Answer: yes
---
- This is an isosceles trapezoid (two non-parallel sides equal).
- The dotted line is horizontal, going through the middle.
- But in a trapezoid, the top and bottom bases are different lengths.
- A horizontal line through the center will not produce mirror-image halves because the top and bottom are not symmetric across that line.
- Only vertical lines might be lines of symmetry for some trapezoids.
- ✘ No — not symmetric across a horizontal line.
> Answer: no
---
- This is a regular hexagon.
- Regular hexagons have multiple lines of symmetry: 6 in total.
- The dotted line appears to go from one vertex to the opposite vertex — which is a line of symmetry.
- ✔ Yes — it divides the hexagon into two matching halves.
> Answer: yes
---
- The shape is like a "U" with a flat bottom and two vertical sides.
- The dotted line is vertical, through the center.
- Is it symmetric? Yes — both sides look identical.
- ✔ Yes — it's symmetric.
> Answer: yes
---
- This is a rectangle, tilted.
- The dotted line is a diagonal.
- For a rectangle, only the vertical and horizontal lines through the center are lines of symmetry.
- Diagonals are not lines of symmetry unless it's a square.
- Since it's a rectangle (not a square), the diagonal doesn't create mirror-image halves.
- ✘ No — not symmetric.
> Answer: no
---
| Shape | Answer |
|-------|--------|
| a | yes |
| b | yes |
| c | yes |
| d | yes |
| e | no |
| f | no |
| g | yes |
| h | yes |
| i | no |
| j | yes |
| k | yes |
| l | no |
---
- Yes: a, b, c, d, g, h, j, k
- No: e, f, i, l
Let me know if you'd like this formatted as a printable answer key!
We’ll go through each shape (a to l) and decide "yes" or "no".
---
a. Rectangle with vertical dotted line
- A rectangle has two lines of symmetry: vertical and horizontal.
- The dotted line is vertical, going through the center.
- ✔ Yes — it splits the rectangle into two equal mirror-image halves.
> Answer: yes
---
b. Triangle (equilateral?) with vertical dotted line
- This looks like an isosceles triangle (or possibly equilateral), with the dotted line from the top vertex to the midpoint of the base.
- In an isosceles or equilateral triangle, this line is a line of symmetry.
- ✔ Yes — the left and right sides are mirror images.
> Answer: yes
---
c. T-shaped figure with vertical dotted line
- The shape is symmetric vertically? Let’s check:
- Left side: a rectangle on top and a smaller rectangle below (like a "T").
- Right side: same structure?
- But the bottom part is missing on one side? Wait — actually, the shape is symmetric about the vertical line.
- The "stem" of the T is centered, so folding along the dotted line would match both sides.
- ✔ Yes — it is symmetric.
> Answer: yes
---
d. House-like shape (pentagon) with vertical dotted line
- It looks like a house: a rectangle with a triangle roof.
- The dotted line goes through the peak of the roof and down the center.
- If the shape is symmetric (equal sides), then yes.
- From the drawing, both sides look identical.
- ✔ Yes — it's symmetric.
> Answer: yes
---
e. Letter E with horizontal dotted line
- The dotted line is horizontal, cutting through the middle of the E.
- But the E has three horizontal bars: top, middle, bottom.
- The horizontal line is through the middle bar.
- If we fold along this line, the top half and bottom half do not match:
- Top has one bar, bottom has one bar, but the middle bar is split.
- However, the left side of the E is not symmetric across a horizontal line.
- The E is not symmetric horizontally — only vertically? Actually, no: E does not have horizontal symmetry.
- ✘ No — the top and bottom parts don’t mirror each other.
> Answer: no
---
f. K-shaped figure with vertical dotted line
- This is a capital K inside a square.
- The dotted line is vertical, through the center.
- The left and right sides of the K are not symmetric — the diagonal strokes are on different sides.
- Folding along the vertical line won’t make the two sides match.
- ✘ No — not symmetric.
> Answer: no
---
g. M-shaped figure with vertical dotted line
- Looks like a M made of triangles.
- The dotted line goes through the middle peak.
- Is it symmetric? Yes — the left and right sides are mirror images.
- ✔ Yes — it's symmetric.
> Answer: yes
---
h. Circle with diagonal dotted line
- A circle has infinite lines of symmetry.
- Any line passing through the center is a line of symmetry.
- The dotted line goes through the center diagonally.
- ✔ Yes — it's symmetric.
> Answer: yes
---
i. Trapezoid with horizontal dotted line
- This is an isosceles trapezoid (two non-parallel sides equal).
- The dotted line is horizontal, going through the middle.
- But in a trapezoid, the top and bottom bases are different lengths.
- A horizontal line through the center will not produce mirror-image halves because the top and bottom are not symmetric across that line.
- Only vertical lines might be lines of symmetry for some trapezoids.
- ✘ No — not symmetric across a horizontal line.
> Answer: no
---
j. Hexagon with diagonal dotted line
- This is a regular hexagon.
- Regular hexagons have multiple lines of symmetry: 6 in total.
- The dotted line appears to go from one vertex to the opposite vertex — which is a line of symmetry.
- ✔ Yes — it divides the hexagon into two matching halves.
> Answer: yes
---
k. U-shaped figure with vertical dotted line
- The shape is like a "U" with a flat bottom and two vertical sides.
- The dotted line is vertical, through the center.
- Is it symmetric? Yes — both sides look identical.
- ✔ Yes — it's symmetric.
> Answer: yes
---
l. Rectangle rotated with diagonal dotted line
- This is a rectangle, tilted.
- The dotted line is a diagonal.
- For a rectangle, only the vertical and horizontal lines through the center are lines of symmetry.
- Diagonals are not lines of symmetry unless it's a square.
- Since it's a rectangle (not a square), the diagonal doesn't create mirror-image halves.
- ✘ No — not symmetric.
> Answer: no
---
✔ Final Answers:
| Shape | Answer |
|-------|--------|
| a | yes |
| b | yes |
| c | yes |
| d | yes |
| e | no |
| f | no |
| g | yes |
| h | yes |
| i | no |
| j | yes |
| k | yes |
| l | no |
---
Summary:
- Yes: a, b, c, d, g, h, j, k
- No: e, f, i, l
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of symmetry worksheet for 2nd grade.
