TRIANGLE CONGRUENCE CRITERIA HOMEWORK

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 the included side of one triangle are congruent to two angles and the included side of another triangle.

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 congruent to two sides and the included angle of another triangle.

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 HL stand for in 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 triangle are congruent to the hypotenuse and one leg 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 congruent to all three sides of another triangle.

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruence as it can lead to ambiguous cases.

Front

What is the congruence statement for triangles ABC and DEF if AB = DE, AC = DF, and angle A = angle D?

Back

The congruence statement is ΔABC ≅ ΔDEF by AAS.

Front

If two triangles have two pairs of congruent angles, what can be concluded about the triangles?

Back

The triangles are congruent by the ASA criterion.

Front

If triangle XYZ is congruent to triangle PQR, what can be said about their corresponding sides and angles?

Back

The corresponding sides and angles of triangle XYZ and triangle PQR are congruent.

Front

What is the significance of the congruence statement in triangle congruence?

Back

The congruence statement indicates that two triangles are identical in shape and size, allowing for the comparison of corresponding parts.