Introduction to Geometry – Complimentary / Supplementary Angles

1. Introduction to Geometry – Complimentary / Supplementary Angles Angle Addition Postulate – If D is a point interior to angle ABC, then A D B C

2. Introduction to Geometry – Complimentary / Supplementary Angles Angle Addition Postulate – If D is a point interior to angle ABC, then A D A 50° 75° B C In this example :

3. Introduction to Geometry – Complimentary / Supplementary Angles Angle Addition Postulate – If D is a point interior to angle ABC, then A D 50° 75° B C In this example : A straight angle is formed by two rays going away from each other. It measures 180°. 180° B A C

4. Introduction to Geometry – Complimentary / Supplementary Angles Angle Addition Postulate – If D is a point interior to angle ABC, then A D A 50° 75° B C In this example : A straight angle is formed by two rays going away from each other. It measures 180°. Draw a third ray and you have a linear pair. This linear pair forms a straight line, they are supplementary angles and add up to 180°. D B A C

5. Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180°

6. Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. These pairs should all add up to 180°

7. Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. These pairs should all add up to 180°

8. Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. These pairs should all add up to 180°

9. Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. These pairs should all add up to 180°

10. Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. These pairs should all add up to 180° See if you can get the last three on your own before moving to the next page…

11. Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. These pairs should all add up to 180° See if you can get the last three on your own before moving to the next page…

12. Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° 50° 40°

13. Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. These pairs should all add up to 90°

14. Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. These pairs should all add up to 90°

15. Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. These pairs should all add up to 90°

16. Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. These pairs should all add up to 90°

17. Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. These pairs should all add up to 90° See if you can get the last three on your own before moving to the next page…

18. Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. These pairs should all add up to 90° See if you can get the last three on your own before moving to the next page…

19. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines B C E A D

20. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines and on the opposite side B C E A D

21. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines and on the opposite side B C E A D

22. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines and on the opposite side B C E A D Vertical angles are also congruent

23. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C Q A D E Find the partner for the given angle to make a vertical angle pair.

24. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C Q A D E Find the partner for the given angle to make a vertical angle pair.

25. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C Q A D E Find the partner for the given angle to make a vertical angle pair.

26. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C Q A D E Find the partner for the given angle to make a vertical angle pair.

27. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C Q A D E Find the partner for the given angle to make a vertical angle pair.

28. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C Q A D E Find the partner for the given angle to make a vertical angle pair.

29. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C Q A D E Find the partner for the given angle to make a vertical angle pair.

30. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C 50° Q A D E Complete the table with the missing measurement.

31. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C 50° 50° Q A D E Complete the table with the missing measurement.

32. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C 38° Q A D E Complete the table with the missing measurement.

33. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C 38° Q 38° A D E Complete the table with the missing measurement.

34. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C 136° Q A D E Complete the table with the missing measurement.

35. Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines F B C 44° 136° Linear pair Q A D E Complete the table with the missing measurement.