unit 4. unit 4: triangles definitions construction of an equilateral triangle

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Triangles Unit 4

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Page 1: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

TrianglesUnit 4

Page 2: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Classifying TrianglesUnit 4: Triangles

Page 3: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Definitions

Page 4: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Definitions

Page 5: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Definitions

Page 6: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Construction of an Equilateral Triangle

Page 7: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Theorems Related to TrianglesUnit 4: Triangles

Page 8: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Theorems Related to Triangles

Page 9: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Theorems Related to Triangles

Page 10: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Theorems Related to Triangles

Page 11: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Theorems Related to Triangles

Page 12: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Theorems Related to Triangles

Page 13: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Theorems Related to Triangles

Page 14: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Theorems Related to Triangles

Page 15: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Theorems Related to Triangles

Page 16: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Theorems Related to Triangles

Page 17: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Special SegmentsUnit 4: Triangles

Page 18: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Special Segments

Page 19: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Special Segments

Page 20: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Special Segments

Page 21: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Special Segments

Page 22: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Special Segments

Page 23: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Construction Problem

Page 24: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Congruent Triangle TheoremsUnit 4: Triangles

Page 25: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Congruent Triangle TheoremsThe 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.

Page 26: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Congruent Triangle Theorems

Page 27: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Congruent Triangle Theorems

Page 28: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Congruent Triangle Theorems

Page 29: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Congruent Triangle Theorems

Page 30: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Examples:

Page 31: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Examples:

Page 32: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Examples:

Page 33: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Examples:

Page 34: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Examples:

Page 35: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Postulate/Theorems and Similar TrianglesUnit 4: Triangles

Page 36: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

Three methods may be used to prove triangles similar:

Page 37: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

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

Page 38: Unit 4. Unit 4: Triangles Definitions Construction of an Equilateral Triangle

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