Congruent Triangles SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

How can you determine if two triangles are congruent using SSS?

Back

To determine if two triangles are congruent using SSS, measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Front

How can you determine if two triangles are congruent using SAS?

Back

To determine if two triangles are congruent using SAS, measure two sides and the included angle of both triangles. If the two sides and the angle of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

Front

What is the corresponding angle in triangle congruence?

Back

The corresponding angle in triangle congruence is an angle in one triangle that is equal to an angle in another triangle when the triangles are congruent.

Front

If two triangles have two equal angles, what can be said about the third angle?

Back

If two triangles have two equal angles, the third angle must also be equal due to the Triangle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees.

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

What is the significance of the included angle in SAS?

Back

The included angle in SAS is the angle formed between the two sides being measured. It is crucial for establishing congruence because it directly connects the two sides.

Front

What is a postulate in geometry?

Back

A postulate is a statement that is accepted as true without proof and serves as a starting point for further reasoning and arguments in geometry.