Geometry Unit 05 Flashcard Review

Front

What does it mean for two segments to be congruent?

Back

Two segments are congruent if they have the same length.

Front

What is the SAS (Side-Angle-Side) congruence postulate?

Back

The SAS postulate states that if two sides of one triangle are equal to two sides of another triangle, and the included angle is equal, then the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) congruence postulate?

Back

The 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 SSA (Side-Side-Angle) condition?

Back

The SSA condition does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

What is the AAA (Angle-Angle-Angle) condition?

Back

The AAA condition states that if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Front

How can you determine if two triangles are congruent using the SSS (Side-Side-Side) postulate?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is the definition of a congruence transformation?

Back

A congruence transformation is a transformation that preserves length and angle measure, such as translations, rotations, and reflections.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of two triangles that are in the same relative position.