Educational worksheet teaching the concept of halves by identifying shapes divided into two equal parts.

To solve this worksheet, we need to circle the shapes that are divided into two equal halves.

The definition given is:
> *A half is one of two equal parts of a whole.*

This means we’re looking for shapes where the dashed line splits the shape into two identical (congruent) parts — same size and same shape.

Let’s go through each shape row by row and determine which ones are correctly split in half:

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🔹 Row 1

1. Rectangle with vertical dashed line
→ The line divides it into two equal rectangles. ✔ YES

2. Star with horizontal dashed line
→ The top and bottom parts are not equal — the star has points above and below, but they don’t match symmetrically across the horizontal line. ✘ NO

3. Rhombus (diamond) with diagonal dashed lines (X)
→ There are two diagonals shown — but the instruction is to find shapes divided into two equal halves. This is divided into four parts. So even though each triangle is equal, it’s not “two halves.” ✘ NO

4. Square with diagonal dashed line
→ Divides the square into two equal triangles. ✔ YES

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🔹 Row 2

5. Circle with diagonal dashed line
→ Any diameter divides a circle into two equal halves. ✔ YES

6. Heart with vertical dashed line
→ Classic heart shape — perfectly symmetrical vertically. ✔ YES

7. Pentagon with vertical dashed line
→ A regular pentagon is not symmetrical vertically unless drawn that way. Here, the line goes from top point to bottom edge — but the left and right sides are NOT equal. ✘ NO

8. Oval (ellipse) with vertical dashed line
→ If it’s a symmetrical oval, vertical line through center makes two equal halves. ✔ YES

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🔹 Row 3

9. Triangle with vertical dashed line
→ Appears to be an isosceles triangle, line from apex to base midpoint — creates two equal halves. ✔ YES

10. Vertical oval with horizontal dashed line
→ Horizontal line through center — splits into top and bottom equal halves. ✔ YES

11. Trapezoid with diagonal dashed lines (X)
→ Again, two lines dividing into 4 parts — not two halves. ✘ NO

12. Cloud shape with horizontal dashed line
→ The cloud is symmetrical top-to-bottom? Looking closely, the bumps on top and bottom don’t match — it’s not truly divided into two equal halves. ✘ NO

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🔹 Row 4

13. Semicircle with vertical dashed line
→ Wait — this is already half a circle! But the line divides it into two equal quarters? No — actually, it’s a semicircle with a vertical line down the middle — so it’s splitting the semicircle into two equal parts. BUT — the *whole* is the semicircle, so these are quarters of the original circle. However, the question says: “divided into two equal halves” — meaning of the shape shown. Since the semicircle is being split into two equal parts by the vertical line, then yes — it’s two equal halves *of the semicircle*. ✔ YES

> ⚠️ Some may argue — but per the instructions, we look at the shape as presented. The shape is a semicircle, and it’s split into two equal parts. So YES.

14. Leaf-like shape with vertical dashed line
→ Looks symmetrical — left and right halves match. ✔ YES

15. Four-leaf clover shape with horizontal dashed line
→ The top and bottom halves are mirror images — equal. ✔ YES

16. Star with diagonal dashed line
→ The line doesn’t split the star into two equal parts — one side has more points than the other. ✘ NO

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## ✔ Final Answer: Circle These Shapes (by position):

We’ll list them by row and column (Row 1–4, Column 1–4):

- Row 1: Col 1 (rectangle), Col 4 (square)
- Row 2: Col 1 (circle), Col 2 (heart), Col 4 (oval)
- Row 3: Col 1 (triangle), Col 2 (vertical oval)
- Row 4: Col 1 (semicircle), Col 2 (leaf), Col 3 (clover)

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## 🖍️ Shapes to Circle (Total = 10):

1. Rectangle (top-left)
2. Square (top-right)
3. Circle (second row, first)
4. Heart (second row, second)
5. Oval (second row, fourth)
6. Triangle (third row, first)
7. Vertical oval (third row, second)
8. Semicircle (bottom row, first)
9. Leaf (bottom row, second)
10. Clover (bottom row, third)

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✔ All other shapes should NOT be circled.

This teaches children to recognize symmetry and equal partitioning — foundational for fractions!

Let me know if you’d like a visual marked version or printable answer key!