Triangles Unit 4.

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Presentation transcript:

Triangles Unit 4

Classifying Triangles Unit 4: Triangles

Definitions

Definitions

Definitions

Construction of an Equilateral Triangle

Theorems Related to Triangles Unit 4: Triangles

Theorems Related to Triangles

Theorems Related to Triangles

Theorems Related to Triangles

Theorems Related to Triangles

Theorems Related to Triangles

Theorems Related to Triangles

Theorems Related to Triangles

Theorems Related to Triangles

Theorems Related to Triangles

Special Segments Unit 4: Triangles

Special Segments

Special Segments

Special Segments

Special Segments

Special Segments

Construction Problem

Congruent Triangle Theorems Unit 4: Triangles

Congruent Triangle Theorems The following are eight methods by which to prove triangles are congruent, without having to find all corresponding parts congruent: SSS, SAS, ASA, AAS, and for right triangles only LL, HA, and HL.

Congruent Triangle Theorems

Congruent Triangle Theorems

Congruent Triangle Theorems

Congruent Triangle Theorems

Examples:

Examples:

Examples:

Examples:

Examples:

Postulate/Theorems and Similar Triangles Unit 4: Triangles

Three methods may be used to prove triangles similar:

Once triangles have been proven similar, scale factors can be used to solve for the missing values.