In this worksheet, we will practice using congruence of polygons to find a missing angle measure or side length.

**Q2: **

If , find the values of and .

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

**Q3: **

Complete the sentence: These figures are .

- Aneither similar nor congruent
- Bsimilar but not congruent
- Ccongruent

**Q4: **

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

**Q5: **

If , find the values of and .

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

**Q6: **

Given that the two polygons shown are congruent, find the length of .

**Q7: **

In the figure, is congruent to . Given that and , find .

**Q8: **

Given that the polygons and are congruent, find the perimeter of the polygon and then .

- A 72 cm,
- B 352 cm,
- C 55 cm,
- D 72 cm,

**Q9: **

In the figure pentagon is congruent to pentagon .

Work out the length of .

- A5
- B2.2
- C5.8
- D3.2
- E81.9

Work out the length of .

- A2.2
- B5.8
- C5
- D3.2
- E59

Work out the length of .

- A81.9
- B3.2
- C5
- D2.2
- E5.8

Work out the size of angle .

- A
- B
- C
- D
- E

Work out the size of angle .

- A
- B
- C
- D
- E

**Q10: **

In the given figure, and are parallel and lies on both and .

Work out the value of .

Are triangles and congruent?

- Ayes
- Bno

**Q11: **

Find the values of and .

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

**Q12: **

In the following figure, find the length of .

**Q13: **

Given that , find the values of and .

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

**Q14: **

and is the midpoint of . Given that , find the length of .

**Q15: **

If is congruent to and , what is ?

**Q16: **

Consider two congruent triangles: and . Which angle in corresponds to ?

- A
- B
- C

**Q17: **

Given that the dashed line is a line of symmetry of , which angle has the same size as ?

- A
- B
- C
- D

**Q18: **

Given that is congruent to , , and , find .

**Q19: **

Consider two congruent polygons and . First, write the line segment in that corresponds to . Then, find the angle in whose measure is the same as .

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

**Q20: **

What is the condition for two angles to be congruent?

- Adifferent in measure
- Bequal in length
- Cdifferent in length
- Dequal in measure

**Q21: **

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

**Q22: **

If the polygon the polygon , cm, and cm, find the perimeter of the polygon .

**Q23: **

Given that , find the length of and calculate the perimeter of .

- A , the perimeter
- B , the perimeter
- C , the perimeter

**Q24: **

In a test, you are shown two congruent squares. One square has a side length of 6. What is the perimeter of the other?

**Q25: **

In the following figure, , , and are three congruent and intersecting rectangles. Find .