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Triangles Unit 4.

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Presentation on theme: "Triangles Unit 4."— Presentation transcript:

1 Triangles Unit 4

2 Classifying Triangles
Unit 4: Triangles

3 Definitions

4 Definitions

5 Definitions

6 Construction of an Equilateral Triangle

7 Theorems Related to Triangles
Unit 4: Triangles

8 Theorems Related to Triangles

9 Theorems Related to Triangles

10 Theorems Related to Triangles

11 Theorems Related to Triangles

12 Theorems Related to Triangles

13 Theorems Related to Triangles

14 Theorems Related to Triangles

15 Theorems Related to Triangles

16 Theorems Related to Triangles

17 Special Segments Unit 4: Triangles

18 Special Segments

19 Special Segments

20 Special Segments

21 Special Segments

22 Special Segments

23 Construction Problem

24 Congruent Triangle Theorems
Unit 4: Triangles

25 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.

26 Congruent Triangle Theorems

27 Congruent Triangle Theorems

28 Congruent Triangle Theorems

29 Congruent Triangle Theorems

30 Examples:

31 Examples:

32 Examples:

33 Examples:

34 Examples:

35 Postulate/Theorems and Similar Triangles
Unit 4: Triangles

36 Three methods may be used to prove triangles similar:

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

38


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