# Lesson Worksheet: Congruent Polygons Mathematics • 8th Grade

In this worksheet, we will practice identifying congruent polygons and using their properties to find a missing side length or angle.

Q1:

The symbol means that the two objects are congruent. Which statement is true? • A
• B
• C
• D

Q2:

Given that , find . Q3:

Use the figure to determine . Q4:

Are two squares congruent if the side length of one square is equal to the side length of the other?

• AYes
• BNo

Q5:

Two squares are congruent. If one has side length 78, what is the side length of the other?

Q6:

If , what is congruent to?

• A
• B
• C

Q7:

Given that , which of the following is certain?

• A
• B
• C
• D
• E

Q8:

If , what is the length of ? Q9:

In the following figure, , , , and . Find . • A
• B
• C
• D

Q10:

Given that , find the measure of . Q11:

Find the values of and . • A,
• B,
• C,
• D,

Q12:

Are two polygons congruent if their corresponding sides have the same length?

• AYes
• BNo

Q13:

Are any two equilateral triangles congruent?

• AYes
• BNo

Q14:

Given that , which of the following is certain?

• A
• B
• C
• D
• E

Q15:

Which of the following congruence statements is true? • A
• B
• C
• D

Q16:

Are the given polygons congruent? • AYes
• BNo

Q17:

Are the polygons shown congruent? • ANo
• BYes

Q18:

Given that polygons and are congruent, determine the angles at , , and . • A, ,
• B, ,
• C, ,
• D, ,

Q19:

The two quadrilaterals in the given figure are congruent. Work out the perimeter of . Q20:

If , find the values of and . • A,
• B,
• C,
• D,
• E,

Q21:

If , find the values of and . • A,
• B,
• C,
• D,
• E,

Q22:

Find in the given figure. Q23:

Given that , find the values of and . • A,
• B,
• C,
• D,
• E,

Q24:

Given that , find . Q25:

The perimeter of the polygon is 176 cm and . Given that and , find the perimeter of the figure . 