What is the HL Theorem - Congruent Triangles

The video tutorial covers the process of writing geometric proofs, focusing on angle relationships and congruency. It explains the limitations of using the side-side-angle method for proving congruency, demonstrating how rotation can create non-congruent triangles with the same measurements. The tutorial introduces the Hypotenuse-Leg (HL) theorem as a valid method for proving congruency in right triangles, emphasizing the importance of identifying a right angle to apply this theorem.

What is the significance of angle relationships in writing proofs for triangle congruency?

Explain why angle-side-side does not prove triangle congruency unless there is a specific condition.

What does HL represent in triangle congruency, and under what condition can it be used?

Describe the process of proving triangle congruency using the hypotenuse and leg.

How would you determine if two triangles are congruent based on given sides and angles?