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Illustrations of Angle Pairs Geometry Mr. Killian.

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Presentation on theme: "Illustrations of Angle Pairs Geometry Mr. Killian."— Presentation transcript:

1 Illustrations of Angle Pairs Geometry Mr. Killian

2 What angle pairs do you see here? Adjacent Angles Linear Pair Vertical Angles Complementary Angles Supplementary Angles

3 Adjacent Angles Angles that share a vertex and an entire side (ray)

4 ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent

5 ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent

6 ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent

7 ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent

8 ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent

9 ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent

10 ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent

11 ADJACENT ANGLES – Share a vertex and an entire side The blue and green angles are adjacent

12 Linear Pair Adjacent and the non-shared sides form a line (when put together, they make a straight angle)

13 LINEAR PAIR – Adjacent & non-shared sides form a line The blue and green angles form a linear pair

14 LINEAR PAIR – Adjacent & non-shared sides form a line The blue and green angles form a linear pair

15 LINEAR PAIR – Adjacent & non-shared sides form a line The blue and green angles form a linear pair

16 LINEAR PAIR – Adjacent & non-shared sides form a line The blue and green angles form a linear pair

17 Vertical Angles Formed when two lines intersect. These angles are not adjacent - they are “across from each other.”

18 VERTICAL ANGLES – Formed by intersection of 2 lines and are across from each other (not adjacent) The blue and green angles are vertical angles

19 VERTICAL ANGLES – Formed by intersection of 2 lines and are across from each other (not adjacent) The blue and green angles are vertical angles

20 VERTICAL ANGLES – Formed by intersection of 2 lines and are across from each other (not adjacent) The blue and green angles are vertical angles

21 VERTICAL ANGLES – Formed by intersection of 2 lines and are across from each other (not adjacent) The blue and green angles are vertical angles

22 Complementary Angles Angles whose measures sum to 90º

23 COMPLEMENTARY ANGLES – Angles whose measures sum to 90º The blue and green angles are complementary

24 COMPLEMENTARY ANGLES – Angles whose measures sum to 90º The blue and green angles are complementary

25 COMPLEMENTARY ANGLES – Angles whose measures sum to 90º (they don’t have to be adjacent) The blue and green angles are complementary 65º 25º

26 COMPLEMENTARY ANGLES – Angles whose measures sum to 90º (they don’t have to be adjacent) The blue and green angles are complementary 20º 70º

27 Supplementary Angles Angles whose measures sum to 180º

28 SUPPLEMENTARY ANGLES – Angles whose measures sum to 180º The blue and green angles are supplementary

29 SUPPLEMENTARY ANGLES – Angles whose measures sum to 180º The blue and green angles are supplementary

30 SUPPLEMENTARY ANGLES – Angles whose measures sum to 180º The blue and green angles are supplementary 160º 20º

31 SUPPLEMENTARY ANGLES – Angles whose measures sum to 180º The blue and green angles are supplementary 160º 20º

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