Educational activity sheet for sorting regular and irregular shapes using a ruler and protractor.

Let’s go step by step to sort each shape as regular or irregular.

What does “regular” mean?

A regular shape has:
- All sides the same length.
- All angles the same size.

If even one side is different, or one angle is different → it’s irregular.

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Now let’s look at each shape one by one:

1. Pink hexagon (top left)
Looks like all sides and angles are equal → Regular

2. Blue square
All 4 sides equal, all angles 90° → Regular

3. Orange diamond (rhombus)
Sides may be equal, but angles are NOT all equal (two sharp, two wide) → Irregular

4. Blue right triangle
One angle is 90°, others are not equal → sides also not all equal → Irregular

5. Purple octagon (left middle)
Looks like all sides and angles equal → Regular

6. Green triangle (equilateral?)
Looks like all sides and angles equal → Regular

7. Purple pentagon (right middle)
Looks like all sides and angles equal → Regular

8. Green arrowhead (pentagon with point)
Not symmetric in a way that all sides/angles match → Irregular

9. Orange arrow (with tail)
Clearly not all sides or angles equal → Irregular

10. Purple octagon (bottom right)
Looks same as the other purple octagon → Regular

11. Orange rectangle
Opposite sides equal, but adjacent sides different → angles are 90°, but sides not all equal → Irregular

12. Blue triangle (pointing up)
Looks equilateral → all sides and angles equal → Regular

13. Pink hexagon (bottom center)
Same as top-left pink hexagon → Regular

14. Orange trapezoid (bottom right)
Only one pair of parallel sides, sides not all equal → Irregular

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Let’s list them clearly:

✔ Regular Shapes:
- Pink hexagon (top left)
- Blue square
- Purple octagon (left middle)
- Green triangle (center)
- Purple pentagon
- Purple octagon (bottom right)
- Blue triangle (pointing up)
- Pink hexagon (bottom center)

✘ Irregular Shapes:
- Orange diamond
- Blue right triangle
- Green arrowhead
- Orange arrow
- Orange rectangle
- Orange trapezoid

Wait — let me double-check the green triangle and blue triangle. Are they really equilateral? In the image, they appear to have equal sides and angles — so yes, regular.

Also, the two pink hexagons — both look regular.

The two purple octagons — both look regular.

The orange diamond — rhombus with unequal angles → irregular.

Rectangle — definitely irregular for this purpose (since not all sides equal).

Trapezoid — irregular.

Arrow shapes — irregular.

Right triangle — irregular.

So total:

Regular: 8 shapes
Irregular: 6 shapes

But we don’t need to count — just sort them.

Final sorting:

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Regular Shapes:
- Top row: pink hexagon, blue square
- Second row: purple octagon, green triangle, purple pentagon
- Third row: (none — arrowhead and arrow are irregular)
- Bottom row: blue triangle, pink hexagon, purple octagon

Wait — bottom row has three: orange rectangle (irregular), blue triangle (regular), pink hexagon (regular), and orange trapezoid (irregular). So actually:

Let me number them by position to avoid confusion:

Row 1 (top):
1. Pink hexagon → Regular
2. Blue square → Regular
3. Orange diamond → Irregular
4. Blue right triangle → Irregular

Row 2:
5. Purple octagon → Regular
6. Green triangle → Regular
7. Purple pentagon → Regular

Row 3:
8. Green arrowhead → Irregular
9. Orange arrow → Irregular
10. Purple octagon → Regular

Row 4 (bottom):
11. Orange rectangle → Irregular
12. Blue triangle → Regular
13. Pink hexagon → Regular
14. Orange trapezoid → Irregular

So Regular: #1,2,5,6,7,10,12,13 → 8 shapes
Irregular: #3,4,8,9,11,14 → 6 shapes

Yes.

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Final Answer:

Regular Shapes:
- Pink hexagon (top left)
- Blue square
- Purple octagon (middle left)
- Green triangle (center)
- Purple pentagon (middle right)
- Purple octagon (bottom right area)
- Blue triangle (bottom center)
- Pink hexagon (bottom center)

Irregular Shapes:
- Orange diamond
- Blue right triangle
- Green arrowhead
- Orange arrow
- Orange rectangle
- Orange trapezoid