# Worksheet: Congruence of Triangles

In this worksheet, we will practice identifying congruence in triangles using different criteria and using this to find unknown angles or sides.

**Q1: **

Are two triangles congruent if both triangles have the same side lengths?

- Ayes
- Bno

**Q2: **

In the given figure, . Determine .

**Q3: **

In the following figure, find .

**Q4: **

Given that , , and , determine .

**Q5: **

Determine the value of in the given congruent triangles.

**Q6: **

In the following figure, find .

**Q7: **

Given that , find the values of and .

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

**Q9: **

Given that , and , what is ?

**Q10: **

Given that is a square, find .

**Q11: **

From the information in the figure, what is ?

**Q12: **

In the figure below, is a rectangle. Find .

**Q13: **

Triangles and are congruent. What is the perimeter of ?

**Q14: **

Consider the figure, then complete the following using , , or : .

- A
- B
- C

**Q15: **

Given that , , and , find .

**Q16: **

Given that and are congruent, what is the measure of ?

**Q17: **

Given that triangle is congruent to triangle , find .

- A
- B
- C
- D

**Q18: **

Find .

**Q19: **

The two triangles in the given figure are congruent. Work out the area of triangle .

**Q20: **

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

**Q21: **

Given that , find the perimeter of .

**Q22: **

Given that is congruent to , first find the length in that is equal to . Then find the angle in with the same measure as .

- A ,
- B ,
- C ,

**Q23: **

In the figure, and are congruent.

Work out the length of .

Work out the length of .

Work out the measure of angle .

**Q24: **

In the figure shown, . What is ?

**Q25: **

Suppose . If the perimeter of is 14, , and , what is ?