Using Congruent Triangle Criteria to Prove Diagonal Bisecting in a Rhombus

This lesson covers the use of congruence criteria in writing a proof, focusing on the CPCTC theorem and the properties of a rhombus. The core lesson involves proving that the diagonals of a rhombus bisect its angles using a two-column proof. The proof demonstrates congruence of triangles formed by the diagonals and uses the side-side-side postulate to establish congruence. The lesson concludes by confirming that the diagonals bisect the angles of the rhombus.

Explain the significance of the CPCTC theorem in proving triangle congruence.

What is the definition of a rhombus?

What are the steps to prove that the diagonals of a rhombus bisect its angles?

Describe the process of writing a two-column proof.

How do the diagonals of a rhombus relate to its angles?