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.

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What is the definition of a rhombus?

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

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Describe the process of writing a two-column proof.

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

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