Topic 39 part 2 MORE Triangle Congruency

Front

What does SAS stand for in triangle congruency?

Back

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

Front

What does AAS stand for in triangle congruency?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

What does SSS stand for in triangle congruency?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to all three sides of another triangle.

Front

If two triangles have two sides of one triangle congruent to two sides of another triangle and the included angle is also congruent, what can be concluded?

Back

The two triangles are congruent by the SAS criterion.

Front

If two triangles have two angles of one triangle congruent to two angles of another triangle and a corresponding non-included side is also congruent, what can be concluded?

Back

The two triangles are congruent by the AAS criterion.

Front

What additional information is needed to show triangles are congruent by SAS?

Back

You need to show that the included angle between the two sides is congruent.

Front

What additional information is needed to show triangles are congruent by AAS?

Back

You need to show that the non-included side is congruent.

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, all corresponding angles are congruent.

Front

What is the relationship between the sides in congruent triangles?

Back

In congruent triangles, all corresponding sides are congruent.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

AB is congruent to DE, BC is congruent to EF, and AC is congruent to DF; also, angle A is congruent to angle D, angle B is congruent to angle E, and angle C is congruent to angle F.