Classifying Polygons Worksheet for identifying regular and irregular polygons.

Let’s go through each polygon one by one.

We need to decide if each shape is regular or irregular.

Remember:
- A regular polygon has all sides equal AND all angles equal.
- An irregular polygon does NOT have all sides equal OR all angles equal (or both).

Now let’s check each:

1. This shape has 5 sides, but the sides are not all the same length — some are longer, some shorter. Also, the angles look different. → Irregular

2. This looks like a zigzag triangle — it’s concave and clearly not symmetrical. Sides and angles are unequal. → Irregular

3. Another weird-shaped pentagon — sides are different lengths, angles too. → Irregular

4. This is a pentagon that looks symmetric. All sides appear equal, and all angles look the same. → Regular

5. This shape has a “dent” in it — it’s concave. Even if some sides were equal, the angles aren’t. Definitely not regular. → Irregular

6. This is a quadrilateral, but it’s tilted and sides don’t look equal. Angles also seem different. → Irregular

7. This is a diamond shape — actually a square rotated! All sides equal, all angles 90°. → Regular

8. This is a parallelogram — opposite sides equal, but adjacent sides may not be. Angles are not all equal (two acute, two obtuse). So not regular. → Irregular

Final Answer:
1. Irregular
2. Irregular
3. Irregular
4. Regular
5. Irregular
6. Irregular
7. Regular
8. Irregular