SSS, SAS, ASA, & AAS Triangle Congruence
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Lesson Description:
Learn about the four ways to check for triangle congruence.
Additional Resources:
- Congruent Triangles - Two sides and included angle (SAS) - What Side Angle Side congruence of a triangle means.
- Congruent Triangles - Three sides equal (SSS) - What Side Side Side congruence of a triangle means.
- Congruent Triangles - Two angles and included side (ASA) - What Angle Side Angle congruence of a triangle means.
- Congruent Triangles - Two angles and an opposite side (AAS) - What Angle Angle Side congruence of a triangle means.
Questions answered by this video:
- What are SSS, SAS, ASA, and AAS in Geometry?
- How do you prove that two triangles are congruent?
- What is the difference between AAS and ASA?
- How do you write a two-column proof of triangle congruence?
- Given that S is the midpoint of QT and QR is parallel to TU, how do you prove that triangle QSR is congruent to triangle TSU?
- What does it mean when two parallel lines are cut by a transversal?
- What is true about alternate interior angles?
- How do you start a triangle congruence proof?
- What is the first statement in a congruence proof?
- What do you write under the reason column in a two-column proof?
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Staff Review
This is a great review lesson for anyone struggling with proving triangle congruence. Not only do you see how to write a two-column proof for a specific example of two triangles, but you will learn all the reasoning behind the statements and why it works.
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