WARM UP: Identify the type of angles. Angles 5 and 7 Angles 8 and 11

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Presentation transcript:

WARM UP: Identify the type of angles. Angles 5 and 7 Angles 8 and 11

- 3.2 - Using Parallel Lines and Transversals

Parallel Lines cut by a Transversal Interactive Models Example 1 Example 2 http://www.mathwarehouse.com/geometry/angle/interactive-transveral-angles.php http://mrperezonlinemathtutor.com/CARFILES/parahtm.html

Postulates and Theorems 1. Consecutive interior angles are __________________ if and only if the lines are _________________. Supplementary Parallel 2.The following angles are equal if and only if the lines are parallel. _________________ Alternate Interior Angles Corresponding Angles Alternate Exterior Angles

EXAMPLE I The measure of three of the numbered angles is 120°. Identify the angles. Explain your reasoning.

EXAMPLE II Find the value of x.

EXAMPLE III If m 3 = 68° and m 8 = (2x + 4)°, what is the value of x? Show your steps.

EXAMPLE III a. Find the value of x that makes m ║ n.

b. Find the value of x that makes m ║ n.

c. Find the value of x that makes m ║ n.

EXAMPLE V If , which lines must be parallel?

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