Understanding Congruent Triangles: Key Concepts and Theorems**
In geometry, two figures are congruent when they have the same size and shape, meaning all corresponding parts—including sides and angles—are congruent. This section focuses on the concept of congruence and how to accurately write congruence statements. Additionally, the Third Angles Theorem states that if two angles in one triangle are congruent to two angles in another triangle, the third angles must also be congruent. Delve into exercises to reinforce these concepts for a solid understanding.
Understanding Congruent Triangles: Key Concepts and Theorems**
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Presentation Transcript
Congruent Triangles Section 4.2
Congruence • Two geometric figures are congruent if they have exactly the same size and shape. • In two congruent figures, all the parts of one figure are congruent to the corresponding parts of the other figure. • This means that the corresponding sides and the corresponding angles are congruent.
Congruence Statements • The congruence statements MUST be written in the correct order.
Third Angles Theorem • If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.
Assignment • p.228: 3-16
