7.1 geom flashcard on CPCFC with Equations

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

What is the importance of order in congruence statements?

Back

The order of the vertices in congruence statements matters because it indicates which angles and sides correspond to each other.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about the sides and angles of these triangles?

Back

We can conclude that corresponding sides and angles of ∆ABC and ∆DEF are equal.

Front

What is the definition of congruent triangles?

Back

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

Front

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

Back

Two triangles are congruent by the SSS (Side-Side-Side) criterion if all three sides of one triangle are equal to the three sides of the other triangle.

Front

What does the ASA criterion for triangle congruence state?

Back

The ASA (Angle-Side-Angle) criterion states that 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 is the definition of an included angle in a triangle?

Back

The included angle in a triangle is the angle formed between two sides of the triangle.

Front

What is the significance of the AAS criterion in triangle congruence?

Back

The AAS (Angle-Angle-Side) criterion 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 is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are the same size and shape, while similarity means the triangles have the same shape but may differ in size.

Front

What is the definition of a corresponding side in congruent triangles?

Back

A corresponding side in congruent triangles is a side that is equal in length to the side of another triangle that is congruent to it.