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Contents Lesson 3-1Parallel Lines and Transversals Lesson 3-2Angles and Parallel Lines Lesson 3-3Slopes of Lines Lesson 3-4Equations of Lines Lesson 3-5Proving Lines Parallel Lesson 3-6Perpendiculars and Distance
Lesson 2 Contents Example 2Use an Auxiliary Line Example 3Find Values of Variables OBJECTIVE: To use algebra to find angle measurements (2.9.8E) (M8.C.1.1.3)
Example 2-2a Grid-In Test Item What is the measure of RTV? Read the Test Item Be sure to identify it correctly on the figure.
Example 2-2b Solve the Test Item Alternate Interior Angles Theorem Definition of congruent angles Substitution
Example 2-2c Angle Addition Postulate Write each digit of 125 in a column of the grid. Then shade in the corresponding bubble in each column. Definition of congruent angles Substitution Alternate Interior Angles Theorem
Example 2-2c Answer:
Example 2-2d Grid-In Test Item What is the measure of IGE? Answer:
Example 2-3e If ALGEBRAand find x and y. Find x. by the Corresponding Angles Postulate.
Example 2-3f Definition of congruent angles Substitution Subtract x from each side and add 10 to each side. Definition of congruent angles Substitution Find y. by the Alternate Exterior Angles Theorem.
Example 2-3g Simplify. Add 100 to each side. Divide each side by 4. Answer:
Example 2-3h Answer: ALGEBRA If and find x and y.
REVIEW: Find the measurement of angle 1. Draw a parallel line (between the other 2 lines through angle 1 vertex and use Alternate Interior angles) Answer: 67 ° 36° 31 ° 1
End of Lesson 2
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