September 15th Flashcardziz CPCTC Proofs

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the ASA postulate?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, and can be made to coincide by rigid motions.

Front

What is the AAA criterion?

Back

AAA stands for Angle-Angle-Angle, which states that if two triangles have three angles that are equal, they are similar but not necessarily congruent.

Front

What is the HL theorem?

Back

HL stands for Hypotenuse-Leg, a theorem that states if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is CPCTC?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used to prove that corresponding sides and angles of congruent triangles are equal.

Front

Why are triangles with sides 3, 4, and 5 congruent?

Back

Triangles with sides 3, 4, and 5 are congruent by the SSS postulate, as all three sides are equal to the corresponding sides of another triangle.

Front

What is the importance of order in triangle congruence?

Back

The order of the vertices matters in triangle congruence because it ensures that corresponding sides and angles are matched correctly.

Front

What is the significance of the statement 'Segment ST ≅ Segment UV'?

Back

This statement indicates that segments ST and UV are congruent, meaning they have the same length.