SAS (Side-Angle-Side) triangle congruence is a rule that states if two sides and the included angle (the angle between those two sides) of one triangle are equal to the corresponding two sides and included angle of another triangle, then the two triangles are congruent. Congruent triangles are exactly the same โ they have the same size and shape. This worksheet will give you practice identifying and applying the SAS postulate.
Match the term to its correct definition:
| Term | Definition |
|---|---|
| 1. Congruent | a. An angle formed by two sides of a triangle |
| 2. Included Angle | b. Having the same size and shape |
| 3. Side | c. A line segment forming part of a polygon |
| 4. Triangle | d. A polygon with three sides and three angles |
| 5. Postulate | e. A statement accepted as true without proof |
Answers: 1-b, 2-a, 3-c, 4-d, 5-e
Complete the following paragraph using the words: sides, angle, congruent, SAS, triangles.
The _____ postulate states that if two _____ and the included _____ of one triangle are equal to the corresponding two sides and included angle of another triangle, then the two _____ are _____. This is a helpful way to prove if two _____ are identical.
Answer: SAS, sides, angle, triangles, congruent, triangles
Explain in your own words why it is important that the angle in SAS congruence is the *included* angle between the two sides. What would happen if the angle was not between the two sides?
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