SAS, SSS, HL

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

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

Front

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

Back

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

Front

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

Back

To determine if two triangles are congruent using SAS, measure two sides and the included angle of both triangles. If the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

Front

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

Back

To determine if two right triangles are congruent using HL, measure the hypotenuse and one leg of both triangles. If the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of the other triangle, they are congruent.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are significant in geometry because they have the same shape and size, which allows for the application of various geometric principles and theorems.

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 for the triangles to be congruent.

Front

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

Back

If Triangle ABC has sides of lengths 5 cm, 7 cm, and 9 cm, and Triangle DEF also has sides of lengths 5 cm, 7 cm, and 9 cm, then Triangle ABC is congruent to Triangle DEF by SSS.

Front

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

Back

If Triangle XYZ has sides of lengths 6 cm, 8 cm, and an included angle of 60 degrees, and Triangle PQR has sides of lengths 6 cm, 8 cm, and an included angle of 60 degrees, then Triangle XYZ is congruent to Triangle PQR by SAS.