# 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.
• CAll shapes contain right angles.
• DAll shapes are equilateral.
• EAll shapes contain parallel sides.

Q4:

What is common between the following shapes? • BAll shapes are equilateral.
• CAll shapes contain right angles.
• DAll shapes contain one pair of equal sides.
• EAll shapes contain parallel sides.

Q5:

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

• Bray
• Cside
• Ddiameter

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?