Coach E's ASA and AAS

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in 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 congruent to two angles and the corresponding non-included side of another triangle.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

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

Back

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent by ASA.

Front

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

Back

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, the triangles are congruent by AAS.

Front

What is the significance of the order of letters in a congruence statement?

Back

The order of letters in a congruence statement indicates the corresponding vertices of the triangles. For example, in triangle ABC ≅ triangle DEF, angle A corresponds to angle D, angle B to angle E, and angle C to angle F.

Front

What is the difference between ASA and AAS?

Back

The difference is in the position of the sides: ASA requires the side to be between the two angles, while AAS allows the side to be outside the two angles.

Front

What does it mean if two triangles are 'not congruent'?

Back

If two triangles are 'not congruent', it means that they do not have the same shape and size, and at least one pair of corresponding sides or angles is different.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, using the symbol '≅' to show equality in shape and size.

Front

Provide an example of a triangle congruence statement using AAS.

Back

Triangle XYZ ≅ triangle ABC, where angle X ≅ angle A, angle Y ≅ angle B, and side YZ ≅ side AB.