7th Review for Flashcard 4 proofs

Front

What is the SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Congruence Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What additional information is required for two triangles to be congruent by SAS?

Back

The length of the third side or the measure of the included angle.

Front

What does the statement ∡EDA≅∡DCB indicate?

Back

It indicates that angle EDA is congruent to angle DCB.

Front

What is a congruence statement?

Back

A congruence statement is a statement that shows two geometric figures are congruent, typically written in the form of triangle congruence, such as ∆ABC≅∆DEF.

Front

What is the significance of the congruence statement in proofs?

Back

It allows us to conclude that corresponding parts of congruent triangles are also congruent.

Front

What does it mean if two triangles are congruent?

Back

It means that all corresponding sides and angles of the triangles are equal.

Front

What is the definition of a proof in geometry?

Back

A proof is a logical argument that uses definitions, properties, and previously proven statements to show that a conclusion is true.

Front

What is the purpose of step 3 in a geometric proof?

Back

Step 3 typically involves stating a key relationship or property that supports the argument for congruence.

Front

What is the meaning of the notation ∆HFG≅∆IHF?

Back

It means that triangle HFG is congruent to triangle IHF.

Front

How do you determine if two triangles are congruent?

Back

You can use congruence postulates such as SSS, SAS, ASA, AAS, or HL.