Use a Two Column Proof to Prove Congruence Using CPCTC - Congruent Triangles

👉 Learn how to prove that two triangles are congruent. Two or more triangles are said to be congruent if they have the same shape and size. There are many postulates and theorems to determine whether two triangles are congruent.

They include Side Side Side (SSS): If the three sides of both triangles are congruent then both triangles are congruent.
Side Angle Side (SAS): If two sides and the included angle of both triangles are congruent then both triangles are congruent.
Angle Side Angle (ASA): If two angles of a triangle and the included side are congruent, then both triangles are congruent.
Hypothenuse Leg (HL): If the hypothenuse and a corresponding leg of two right triangles are congruent, then both triangles are congruent.

To prove that two triangles are congruent, we develop a two-column proof starting with the given information and using theorems, postulates, and properties, we can prove that the triangles satisfy any of the given theorems and postulates above.

Organized Videos:
✅Congruent Triangles:
✅Congruent Triangle Theorems
✅Corresponding Parts of Congruent Triangles
✅Congruency Statements
✅Included Angles and Sides
✅Congruent Triangles Solve for x
✅Congruent Triangles Proofs
✅Congruent Triangles on a Coordinate Plane

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Why did you say <OLK = <LMN. Vertical

Does it have to be like <OLK = <MLN?

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[davidzinder]

Actually, because you know that angles O and M are congruent, you can infer that legs OK and MN are parallel, which means that angles K and L are congruent also by AIA.

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[bulaghosh]

4:21 he made a mistake by writing angle LMN instead of angle MLN

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