Geo Midterm Unit 6 Review

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the SAS postulate?

Back

The Side-Angle-Side (SAS) postulate states that 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 ASA postulate?

Back

The Angle-Side-Angle (ASA) postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS postulate?

Back

The Angle-Angle-Side (AAS) postulate states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does SSA mean in triangle congruence?

Back

Side-Side-Angle (SSA) is a condition that does not guarantee triangle congruence, as it can lead to ambiguous cases.

Front

What is the significance of parallel lines in triangle congruence?

Back

If two lines are parallel, corresponding angles formed with a transversal are equal, which can help in proving triangle congruence.

Front

How can you determine if two triangles are congruent using side lengths?

Back

If the lengths of all three sides of one triangle are equal to the lengths of all three sides of another triangle, then the triangles are congruent (SSS postulate).

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of two triangles that are equal when the triangles are congruent.

Front

What is the importance of the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle; it is crucial in postulates like SAS and ASA for establishing congruence.

Front

What does it mean if two triangles cannot be determined as congruent?

Back

It means there is not enough information provided to conclude that the triangles are congruent based on the given criteria.