# Worksheet: Congruent Polygons

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 .