Polygons Worksheets - Free Printable

Explanation:
We are given a worksheet with a color key and many polygons. The task is to answer two questions:

1. How many pentagons are there?
2. How many triangles are there?

First, recall:
- A pentagon has 5 sides.
- A triangle has 3 sides.

Now, let’s count carefully by scanning each row of shapes.

There are 4 rows, each with 6 shapes (total 24 shapes).

Let’s go row by row and identify pentagons (5 sides) and triangles (3 sides):

Row 1 (left to right):
1. Triangle (3 sides) → triangle ✔
2. Pentagon (5 sides) → pentagon ✔
3. Hexagon (6 sides)
4. Octagon (8 sides)
5. Decagon (10 sides)
6. Pentagon (5 sides) → pentagon ✔
→ So far: 1 triangle, 2 pentagons

Row 2:
1. Pentagon (5 sides) → pentagon ✔
2. Quadrilateral (4 sides)
3. Pentagon (5 sides) → pentagon ✔
4. Hexagon (6 sides)
5. Heptagon (7 sides)
6. Triangle (3 sides) → triangle ✔
→ Now: 2 triangles, 4 pentagons

Row 3:
1. Pentagon (5 sides) → pentagon ✔
2. Hexagon (6 sides)
3. Quadrilateral (4 sides)
4. Pentagon (5 sides) → pentagon ✔
5. Octagon (8 sides)
6. Triangle (3 sides) → triangle ✔
→ Now: 3 triangles, 6 pentagons

Row 4:
1. Pentagon (5 sides) → pentagon ✔
2. Hexagon (6 sides)
3. Triangle (3 sides) → triangle ✔
4. Heptagon (7 sides)
5. Pentagon (5 sides) → pentagon ✔
6. Quadrilateral (4 sides)
→ Final count:
Triangles: 1 (R1) + 1 (R2) + 1 (R3) + 1 (R4) = 4 triangles
Pentagons: 2 (R1) + 2 (R2) + 2 (R3) + 2 (R4) = 8 pentagons

Wait — double-check Row 4, shape 1: Is it really a pentagon? Yes — 5 sides.
Shape 3: triangle — yes.
Shape 5: pentagon — yes.

Let me list all pentagons explicitly by position (row, column):

- (1,2)
- (1,6)
- (2,1)
- (2,3)
- (3,1)
- (3,4)
- (4,1)
- (4,5)

That’s 8 pentagons.

Triangles:
- (1,1)
- (2,6)
- (3,6)
- (4,3)

That’s 4 triangles.

No other triangles or pentagons.

So answers:
1. 8 pentagons
2. 4 triangles

Final Answer:
8
4