Congruent Triangles and Their Parts

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem 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 theorem 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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What does CPCTC stand for?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Front

If two triangles are congruent, what can we conclude about their corresponding parts?

Back

Their corresponding parts are congruent.

Front

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

Back

You need to show that the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle.

Front

What is the relationship between similar triangles and congruent triangles?

Back

All congruent triangles are similar, but not all similar triangles are congruent.

Front

What is the significance of the congruence postulates in geometry?

Back

They provide criteria to determine if two triangles are congruent without needing to measure all sides and angles.

Front

Can two triangles be congruent if they have different orientations?

Back

Yes, two triangles can be congruent even if they are oriented differently.