In this worksheet, we will practice identifying congruent triangles by applying SSS, SAS, and ASA criteria.

**Q1: **

The shape in the given figure is a parallelogram.

What can be said of the lengths of and ?

- AThey are equal.
- BThey are different.

Which angle has the same measure as ?

- A
- B
- C
- D
- E

Which angle has the same measure as ?

- A
- B
- C
- D
- E

Given the information gained from the previous sections and the congruence criterion, are triangles and congruent?

- ANo
- BYes

**Q2: **

State whether the figures are congruent or not congruent.

- Anot congruent
- Bcongruent

**Q3: **

Each of 32 students in a class have three straws with lengths of 3 inches, 4 inches, and 6 inches, with which they make a triangle. What would be true of all the triangles that they make?

- A They would all be isosceles.
- B They would all be equilateral.
- C They would all be acute triangles.
- D They would all be congruent.
- E They would all be right triangles.

**Q5: **

In the figure, .

- A The SAS rule will prove congruence.
- B The AAS rule will prove congruence.
- C The ASA rule will prove congruence.
- DThere is not enough information to prove congruence.
- E The AAA rule will prove congruence.

**Q6: **

In the given figure, is the perpendicular bisector of . By definition, is equal to , is a common side to both angles, and and are both right angles.

Which congruence criterion could be used to prove that triangle and triangle are congruent?

- A ASA
- B SSS
- C SAS

As triangle and triangle are congruent, determine what will be true of the line segments and , wherever may lie on the line.

- AThey will be congruent.
- BThey will be parallel.
- CThey will be perpendicular.

**Q7: **

Complete the sentence: These figures are .

- Asimilar but not congruent
- Bneither similar nor congruent
- Ccongruent

**Q8: **

The two triangles in the given figure have equal sides. Are the two triangles congruent?

- A yes
- B no