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 .