# Lesson Worksheet: Applications on Congruent Triangles Mathematics • 8th Grade

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

**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.

**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 .

**Q16: **

Given that and are congruent, what is the measure 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,

**Q24: **

In the figure shown, . What is ?

**Q25: **

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