Geom 12/9

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 SAS (Side-Angle-Side) 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 ASA (Angle-Side-Angle) 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 AAS (Angle-Angle-Side) 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

How can you name an angle using points?

Back

An angle can be named using three points, where the middle point is the vertex of the angle. For example, angle ∠ABC is formed by points A, B, and C.

Front

What is the definition of an angle?

Back

An angle is formed by two rays that share a common endpoint, called the vertex.

Front

What is the difference between acute, right, and obtuse angles?

Back

An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, and an obtuse angle is greater than 90 degrees but less than 180 degrees.

Front

What does it mean to state how you know two triangles are congruent?

Back

It means to provide the specific postulate or theorem that justifies the conclusion of congruence, such as SAS, ASA, or AAS.

Front

What is the significance of corresponding parts in congruent triangles?

Back

In congruent triangles, corresponding parts (sides and angles) are equal, which helps in proving the triangles are congruent.

Front

How can you identify the vertex of an angle?

Back

The vertex of an angle is the point where the two rays meet.