GEO Unit 5 Congruence Review (Basics to Proofs)

Front

What does congruence mean in geometry?

Back

Congruence in geometry means that two figures have the same shape and size. They can be superimposed on each other.

Front

What is the SAS (Side-Angle-Side) Congruence Theorem?

Back

The SAS Congruence Theorem 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 (Angle-Side-Angle) Congruence Theorem?

Back

The ASA Congruence Theorem 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 (Angle-Angle-Side) Congruence Theorem?

Back

The AAS Congruence Theorem 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 it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect to form right angles (90 degrees).

Front

How can you determine if two triangles are congruent?

Back

You can determine if two triangles are congruent by using congruence theorems such as SAS, ASA, AAS, or by showing that all corresponding sides and angles are equal.

Front

What is the definition of an angle?

Back

An angle is formed by two rays (sides) that share a common endpoint (vertex).

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices. The sum of the interior angles of a triangle is always 180 degrees.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts in congruent triangles are the sides and angles that are in the same position in each triangle.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.