Triangle congruency

Front

What does the acronym SAS stand for in triangle congruency?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does the acronym ASA stand for in triangle congruency?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does the acronym AAS stand for in triangle congruency?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does the acronym SSS stand for in triangle congruency?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What does the acronym HL stand for in triangle congruency?

Back

HL stands for Hypotenuse-Leg, a theorem that states if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the significance of the SSA condition in triangle congruency?

Back

The SSA condition (Side-Side-Angle) does not guarantee triangle congruency, as it can lead to ambiguous cases where two different triangles can be formed.

Front

If triangle PRS is congruent to triangle QRS by AAS, what can be concluded about their angles?

Back

If triangle PRS is congruent to triangle QRS by AAS, then the corresponding angles of both triangles are congruent.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

To determine if two triangles are congruent using the SSS postulate, measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, then the triangles are congruent.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in congruent triangles?

Back

In congruent triangles, corresponding sides are equal in length.