SAS, SSS, HL

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 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 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 equal to the hypotenuse and one leg of another triangle.

Front

How can you determine if two triangles are congruent using SAS?

Back

To determine if two triangles are congruent using SAS, check if two sides of one triangle are equal to two sides of another triangle and if the angle between those sides is equal.

Front

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

Back

To determine if two triangles are congruent using SSS, check if all three sides of one triangle are equal to all three sides of another triangle.

Front

How can you determine if two triangles are congruent using HL?

Back

To determine if two triangles are congruent using HL, check if both triangles are right triangles, and if their hypotenuses and one corresponding leg are equal.

Front

What is the significance of congruence in triangles?

Back

Congruence in triangles indicates that the triangles have the same shape and size, allowing for the conclusion that corresponding angles and sides are equal.

Front

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

Back

If triangle ABC is congruent to triangle DEF, then corresponding sides AB = DE, BC = EF, AC = DF and corresponding angles ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle (SAS) or all three sides (SSS) must be equal.

Front

What is an example of using SAS to prove triangle congruence?

Back

If triangle XYZ has sides XY = 5 cm, YZ = 7 cm, and angle Z = 60°, and triangle PQR has sides PQ = 5 cm, QR = 7 cm, and angle R = 60°, then triangle XYZ is congruent to triangle PQR by SAS.