Exploring Congruent Triangles and Angles

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 AAS criterion for triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the HL criterion for triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, where the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle.

Front

Can two triangles be congruent if only two sides are known?

Back

No, two triangles cannot be proven congruent with only two sides known unless the included angle is also known (SAS) or if the third side is also known (SSS).

Front

Back

Front

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

Back

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

Front

In triangle congruence, what does the term 'corresponding parts' refer to?

Back

'Corresponding parts' refer to the angles and sides of congruent triangles that match in position and measure.

Front

How can you determine if two triangles are congruent using the AAS criterion?

Back

To determine congruence using AAS, verify that two angles and the non-included side of one triangle are equal to the corresponding two angles and the non-included side of the other triangle.

Front

What is the relationship between congruent triangles and their areas?

Back

Congruent triangles have equal areas because their corresponding sides and heights are equal.