Congruent Triangles: SSS, SAS, ASA

Congruent Triangles: SSS, SAS, ASA

Read each question carefully and answer to the best of your ability. Show your work where necessary.

1. Which postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent?

2. Two triangles have two pairs of corresponding sides and the included angle congruent. Which postulate proves them congruent?

3. The letters SSS stand for  .

4. The letters ASA stand for  .

5. Consider two triangles, ΔABC and ΔDEF. If AB = DE, BC = EF, and AC = DF, which postulate proves that ΔABC ≅ ΔDEF? Explain your reasoning.

6. Draw two congruent triangles using the SAS postulate. Label the congruent sides and angles.

(Hint: Draw one triangle, then copy two sides and the included angle to draw the second triangle.)

7. If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent by ASA.