G.6 Congruent Triangles (Coordinate Proofs)

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the definition of coordinate proof?

Back

A method of proving geometric theorems using coordinates and algebraic techniques.

Front

How can you determine if two triangles are congruent using coordinates?

Back

By showing that the lengths of corresponding sides are equal using the distance formula.

Front

What is the distance formula for two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)