Angle Pairs - Quarter 2 Grade 7 Mathematics.pptx

Quarter 2 Grade 7 Mathematics

1. PRAYER

2. WATCHING VIDEO LESSON

3. 4 PICS ONE WORD

4. R E L T I N S I P __ __ A O H __

5. GEOMETRIC __ F __ I R U G E S

6. A __ G __ E N L

7. I __ S P __ A R

8. Relationship of Geometric Figures: Angle Pairs MARK ATNHONY F. GUIRA CUBAL INTEGRATED SCHOOL

9. OBJECTIVES: At the end of this lesson, you will be able to: Define angle pairs; Derive the relationship of geometric figures using inductive reasoning: angle pairs; Solve problems involving angle pairs.

10. GEOMETRIC FIGURES A geometric figure is any combination of points, lines, or planes. Geometric figures are often classified as space figure, plane figure, lines, line segments, rays, and points depending on the  dimensions  of the figure.

11. ANGLE PAIRS Angle pairs are angles that appear in twos to display a certain geometrical property. Adjacent Angles Vertical Angles Complementary Angles Supplementary Angles Linear Pair of Angles

12. To denote the measure of an angle we write an “m” in front of the symbol for the angle.         Here are some common angles and their measurements. 4 2 1 3 “the measure of angle 1 is equal to 45 degrees”

13. Congruent Angles So, two angles are congruent if and only if they have the same measure.   Means Congruent Means Equal So, the angles are congruent .                  

14. ANGLE PAIRS

15. Adjacent Angles Adjacent angles share a common point(vertex) and common ray(side) but no interior point in common. Adjacent angles are “side by side” and share a common ray. Common Ray Common Vertex 45 º   25 º        

16. Adjacent Angles These are examples of adjacent angles. 55 º 35 º 50 º 130 º 80 º 45 º 85 º 20 º

17. Adjacent Angles These angles are NOT adjacent. 45 º 55 º 50 º 100 º 35 º 35 º

18. Vertical Angles Two opposite angles formed by intersecting lines and have no common sides but share a common vertex . Four angles are formed at the point of intersection.             Vertical angles are congruent . Point of intersection ‘P’ is the common vertex of the four angle .           Common Vertex 105 º 105 º 75 º 75 º

19.  1 &  4 Example 1: 1 2 3 4 5 6 7 8  2 &  3  5 &  8,  6 &  7 Name the Vertical Angles Vertical Angles

20. 145º 35º                 Example :Given that the pair of angles are vertical angles. Find for the angle measure and the value of the variable.             ? ? Vertical Angles    

21. Complementary Angles If the sum of two angles is , then they are called complementary angles.   70 º 20 º           60 º       30 º     ABC and are complementary angles .       Not adjacent angles.     and are complementary angles .   Adjacent angles.

22. Example :Given that the pair of angles are complementary. Find for the angle measure and the value of the variable. Complement 16º                         74º ? Complementary Angles    

23. Supplementary Angles If the sum of two angles is 18 , then they are called complementary angles.     120 º       60 º     ABC and are supplementary angles .      

24. Linear Pair of Angles Two angles are linear pair if they are adjacent and supplementary . 55 º   125 º       APC and are supplementary angles and are also adjacent angles .       Therefore, APC and are linear pair of angles .  

25. Supplementary & Linear Pair of Angles   Supplement 37º               143º ?   Example :Given that the pair of angles are supplementary. Find for the angle measure and the value of the variable.            

26. ACTIVITY

27. Activity 1: Angle Pairs Direction: Identify the following pair of angles 35 º 35 º   _____________________   _____________________ 125 º 55 º   _____________________ 43º 17º   _____________________ Vertical Angles Linear Pair of Angles Adjacent Angles Complementary Angles   _____________________ 156 º 24 º Supplementary Angles

28. Activity 2: Angle Pairs Direction: Find the value of the missing angle.       ? 35º       162 º                            

29. Activity 3: Angle Pairs Direction: Find the value of x .                                    

30. THANK YOU! “The essence of Mathematics is not to make simple things complicated but to make complicated things simple” D.S Gudder