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Corr.  ’s Alt. Int.  ’s Alt. Ext.  ’s.  Students will analyze & identify angle pair relationships formed by a transversal intersecting 2 or more parallel.

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Presentation on theme: "Corr.  ’s Alt. Int.  ’s Alt. Ext.  ’s.  Students will analyze & identify angle pair relationships formed by a transversal intersecting 2 or more parallel."— Presentation transcript:

1 Corr.  ’s Alt. Int.  ’s Alt. Ext.  ’s

2  Students will analyze & identify angle pair relationships formed by a transversal intersecting 2 or more parallel lines.  Why? So you can analyze & solve real world problems involving angles as seen in the performance task.  Mastery is 80% or better on 5-minute check and indy work.

3 abbreviate corr.  ’s  abbreviate vert.  ’s  abbreviate corr.  ’s  125  What could be another reason? Vert.  ’s 

4 Skill Develop What could be another reason? Vert.  ’s 

5  Students will analyze & identify angle pair relationships formed by a transversal intersecting 2 or more parallel lines.  Why? So you can analyze & solve real world problems involving angles as seen in the performance task.  Mastery is 80% or better on 5-minute chack and indy work.

6

7  Briefly, discuss with a partner then explain in your own words.  What Alt exterior, Alt Interior, Corresponding and Consecutive are. Why is it important to identify these relationships and how is this information useful. Be prepared to share out.

8 alt. ext.  ’s  113 39 117 Solve for x Skill Development….

9 (x + 5)  Use the corr.  ’s post. Now Use the fact that these angles now form a linear pair and are supplementary and add up to 180. 3x - 7 + x + 5 = 180 4x - 2 = 180 4x = 182 x = 45.5 Write an equation: Solve for x

10 60  (2x + 10)  Solve for x. 2x + 10 = 60alt. ext.  ’s  2x = 50 x = 25

11 m1m1 m2m2 Why? Alt. Int.  ’s  SSI  ’s are supp. 60  120  Pair Share--- White Boards

12 Why? Alt. Int.  ’s  X = Y = 75  Corr.  ’s  What could be another reason that x = y? Vert.  ’s  Solve for X and Y and be able to explain your reasoning.

13 Before you begin, determine the angle pair relationship alt. int.  ’s  x + 15 = 80 x = 65

14  Students will analyze & identify angle pair relationships formed by a transversal intersecting 2 or more parallel lines.  Why? So you can analyze & solve real world problems involving angles as seen in the performance task.  Mastery is 80% or better on 5-minute chack and indy work.

15  Page(s) 157-159  # 1-20 all

16 105  x – 2 + 105 = 180 Linear pair  ’s add to 180 x + 103 = 180 x = 77

17 Use the figure to answer the following questions:  Name four pairs of vertical angles.  Name all angles that form a linear pair with  7.  Name all angles that are congruent to  1.  Name all angles that are congruent to  4.  Name all angles that are supplementary to  3.  Name all angles that are supplementary to  2.

18 You may have to combine some properties to solve. Work one variable at a time. Avoid solving for one variable in terms of the other when you can 3x  9x +12 +3x = 180 Linear pair  ’s add to 180 12x+ 12 = 180 x = 14 12x = 168 3(14) + 4y - 10 = 180 42 + 4y - 10 = 180 4y + 32= 180 Linear pair  ’s add to 180 4y = 148 y = 37

19 With a Partner 5y-4+3y=180 8y-4+184 8y+184 y=23 69= 2x+13 56=2x X=28

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21  Students will analyze & identify angle pair relationships formed by a transversal intersecting 2 or more parallel lines.  Why? So you can analyze & solve real world problems involving angles as seen in the performance task.  Mastery is 80% or better on 5-minute chack and indy work.

22  Apply Special Angle Relationships to solve diagrams.  Page(s) 158-159  # 21-36 all


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