Practice Triangle Flashcard

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

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

Back

The lengths of all three sides of both triangles must be known.

Front

What does the notation ∆ABC≅∆XYZ signify?

Back

It signifies that triangle ABC is congruent to triangle XYZ.

Front

If ∆ABC≅∆XYZ, which of the following is true? AB≅XY, AB≅YX, AB≅XZ, BC≅CB?

Back

AB≅XY is true.

Front

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

Back

The AAS Congruence Postulate states 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, then the triangles are congruent.

Front

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

Back

The measures of two angles and one side must be known.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form of ∆ABC≅∆XYZ.

Front

Which of the following is a correct congruence statement? ∆ABC≅∆XYZ, ∆XYZ≅∆ABC, ∆ABC≅∆DEF, ∆DEF≅∆XYZ?

Back

Both ∆ABC≅∆XYZ and ∆XYZ≅∆ABC are correct congruence statements.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the importance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which helps in proving the triangles are congruent.