Triangles and Congruence

Tutoring on Triangles and Congruence

Learning Objectives:

Understand and apply The Triangle Sum Theorem.

Math Tutoring on Triangles and Congruence

Interior Angles of a Triangle:

The Interior Angles of a triangle are the angles inside the triangle formed by the sides.The vertices are the points where the sides of a triangle meet. Vertex is singular form of Vertices.

Exterior Angles of a Triangle:

The Exterior Angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle.

Congruent Triangles:

Two triangles are Congruent if and only if corresponding angles and sides are Congruent.When referring to corresponding part of triangles it is called corresponding parts of Congruent Triangles are Congruent.

Side-Side-Side Postulate or SSS Postulate:

If three sides of one triangle are Congruent to three sides of another triangle, then the triangles are Congruent.

Side-Angle-Side Postulate:

If two sides and the included angle of one triangle are Congruent to two sides and the included angle of another triangle, then the triangles are Congruent.

Angle-Side-Angle Postulate:

If two angles and the included side of one triangle are Congruent to two angles and the included side of another triangle, then the triangles are Congruent.

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Hook questions:

1.    What are the Exterior or Interior Angles of a triangle?

2.    What are the Congruent Triangles? What are the different postulates of Congruence?

 

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