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.

Q4:

What is common between the following shapes?

  • AAll shapes are quadrilateral.
  • 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 .

  • 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 𝐴𝐵𝐶𝐷𝐸𝐹. Which polygon is congruent to 𝐴𝐵𝐶𝐹?

  • A𝐸𝐷𝐶𝐹
  • B𝐸𝐷𝐶𝐴
  • C𝐹𝐶𝐵𝐸
  • D𝐹𝐶𝐷𝐴

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?

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.