# Worksheet: Congruent and Regular Polygons

In this worksheet, we will practice naming polygons, classifying them as regular and congruent, and using the notation for congruent sides and angles.

**Q1: **

Determine whether the following sentence is true or false: A polygon which has no diagonals is a triangle.

- Atrue
- Bfalse

**Q2: **

How many diagonals does a pentagon have?

**Q3: **

What is common between the following shapes?

- AAll shapes contain two pairs of perpendicular sides.
- BAll shapes are quadrilateral.
- CAll shapes contain right angles.
- DAll shapes are equilateral.
- EAll shapes contain parallel sides.

**Q5: **

Fill the blank: Each line segment in a polygon is called a .

- Adiagonal
- Bray
- Cside
- Ddiameter
- Eradius

**Q6: **

Determine whether the following statement is true or false: A polygon consists of a finite number of line segments forming a closed plane figure.

- Atrue
- Bfalse

**Q7: **

Are two rectangles congruent if the length and width of one is equal to the length and width of the other?

- Ano
- Byes

**Q8: **

The diagram shows the shapes and dimensions of two rectangles. Do the rectangles appear to be congruent?

- Ayes
- Bno

**Q9: **

In the figure, the dashed line is a line of symmetry of the regular hexagon . Which polygon is congruent to ?

- A
- B
- C
- D

**Q10: **

Are the polygons shown in the figure congruent?

- AYes
- BNo

**Q11: **

Is a square with a side length of 6 cm congruent to a rectangle of length 6 cm and width 4 cm?

- Ano
- Byes

**Q12: **

State whether the figures are congruent or not congruent.

- Anot congruent
- Bcongruent

**Q13: **

Are all squares with one side measuring 5 inches congruent?

- Ayes
- Bno

**Q14: **

Are any two squares congruent?

- Ano
- Byes

**Q15: **

This is an equilateral triangle. How many lines of symmetry are there?

**Q16: **

How many lines of symmetry does a regular hexagon have?

- A2
- B8
- C3
- D4
- E6

**Q17: **

This is a regular pentagon. How many lines of symmetry are there?

**Q18: **

How many lines of symmetry does a regular pentagon have?

**Q19: **

How many lines of symmetry does a regular dodecagon have?

**Q20: **

This is a regular octagon. How many lines of symmetry are there?

**Q21: **

How many lines of symmetry does a regular hendecagon have?