Corr. ’s Alt. Int. ’s Alt. Ext. ’s
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.
abbreviate corr. ’s abbreviate vert. ’s abbreviate corr. ’s 125 What could be another reason? Vert. ’s
Skill Develop What could be another reason? Vert. ’s
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.
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.
alt. ext. ’s Solve for x Skill Development….
(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 x x + 5 = 180 4x - 2 = 180 4x = 182 x = 45.5 Write an equation: Solve for x
60 (2x + 10) Solve for x. 2x + 10 = 60alt. ext. ’s 2x = 50 x = 25
m1m1 m2m2 Why? Alt. Int. ’s SSI ’s are supp. 60 120 Pair Share--- White Boards
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.
Before you begin, determine the angle pair relationship alt. int. ’s x + 15 = 80 x = 65
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.
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105 x – = 180 Linear pair ’s add to 180 x = 180 x = 77
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.
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 x = 180 Linear pair ’s add to x+ 12 = 180 x = 14 12x = 168 3(14) + 4y - 10 = y - 10 = 180 4y + 32= 180 Linear pair ’s add to 180 4y = 148 y = 37
With a Partner 5y-4+3y=180 8y y+184 y=23 69= 2x+13 56=2x X=28
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.
Apply Special Angle Relationships to solve diagrams. Page(s) # all