# Lesson Worksheet: Tessellations of Polygons Mathematics

In this worksheet, we will practice identifying which polygons can form a tessellation and the geometric transformations applied to it.

**Q1: **

Natalie wants to tile her bathroom floor using two colors of regular pentagonal tiles that are of identical sizes as shown in the picture. As the pentagons do not tessellate, she also needs to buy some tiles to go in the empty spaces.

The additional tile needs to fit exactly into the empty space. What would the size of the acute angle in this tile be?

What would the size of the obtuse angle in the tile be?

**Q2: **

This tessellation is made from squares and regular hexagons. Find .

**Q3: **

The given tessellation consists of two regular polygons. Find the number of sides of the unknown polygon.

**Q4: **

The given tessellation consists of three types of regular polygon. Find the number of sides of the unknown polygon.

**Q5: **

This tessellation is made using squares and equilateral triangles. Find .

**Q6: **

The given tessellation consists of two regular polygons. Find the number of sides of the unknown polygon.

**Q7: **

The given tessellation consists of identical regular pentagons and isosceles triangles. Find .

**Q8: **

This tessellation is made from squares and regular octagons. Find .

**Q9: **

Which of the following shapes can tessellate by itself?

- A
- B
- C
- D
- E

**Q10: **

Which of the following shapes can tessellate on its own?

- A
- B
- C
- D
- E