Triangle Congruence

Front

What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the corresponding angle to angle F in triangle congruence statement ∆SXF ≅ ∆GXT?

Back

The corresponding angle to angle F is angle G.

Front

Which segments are congruent in the congruence statement ∆SXF ≅ ∆GXT?

Back

Segment SX is congruent to segment GX, and segment XF is congruent to segment GT.

Front

What is the definition of corresponding sides in triangle congruence?

Back

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

Front

What is the definition of corresponding angles in triangle congruence?

Back

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

Front

If ∆ABC ≅ ∆DEF, what can we say about the sides and angles?

Back

All corresponding sides and angles of triangles ABC and DEF are equal.

Front

What is the definition of the Angle-Angle-Angle (AAA) criterion?

Back

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

Front

What is the definition of the Side-Side-Side (SSS) criterion?

Back

SSS states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the definition of the Angle-Side-Angle (ASA) criterion?

Back

ASA states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.