# 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.

**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

**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

**Q18: **

Given that polygons and are congruent, determine the angles at , , and .

- A, ,
- B, ,
- C, ,
- D, ,

**Q20: **

If , find the values of and .

- A,
- B,
- C,
- D,
- E,

**Q21: **

If , find the values of and .

- A,
- B,
- C,
- D,
- E,

**Q23: **

Given that , find the values of and .

- A,
- B,
- C,
- D,
- E,

**Q25: **

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