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HW-pg. 158-159 (1-25 odd) 3.1-3.3 Quiz THURSDAY 10-23-14 www.westex.org HS, Teacher Websites 10-17-14 Warm up—Geometry CPA 1. Angle 1 is alt. ext. with _____. 2. Angle 4 corresponds with _____. 1 2 3 4 5 6 7 8 GOAL: I will be able to: 1. discover relationships between angles formed by parallel lines cut by a transversal. HW-pg. 158-159 (1-25 odd) 3.1-3.3 Quiz THURSDAY 10-23-14 www.westex.org HS, Teacher Websites Name _______________________ Date ____ GEO CPA Parallel Lines Cut by a Transversal GOAL: I will be able to: 1. discover relationships between angles formed by parallel lines cut by a transversal. Use the figure below for the following questions: Step 1 Write down all of the pairs of angles that satisfy the following terms: a. Corresponding Angles: b. Alternate Interior Angles: c. Alternate Exterior Angles: d. Same-Side Interior Angles: Step 2 Using a protractor, measure each angle in the above diagram and record your results in the diagram. Step 3 Using the angle measures that you have just found, fill in the blanks of the following conditional statements: If two parallel lines are cut by a transversal, then the: a. corresponding angles are _______________. b. alternate interior angles are _______________. c. alternate exterior angles are _______________. d. same-side interior angles are _______________. Step 4 Confirm your conjectures above by drawing two more parallel lines (trace your ruler on each side to make 2 parallel lines) cut by a transversal and measuring their angles in the space below. Step 5 Draw two lines that are not parallel and then draw a transversal. Measure the angles once again and determine if the same rules apply to two non-parallel lines cut by a transversal. Query: What is the minimum number of angles in the diagram you drew in step 4 (and the diagram from the first page) that you have to measure in order to determine the measure of all of the angles? Step 5? Step 4 diagram Step 5 diagram __________ __________ 3.2 Angles Formed by Parallel Lines and Transversals Example 1: Using the Corresponding Angles Postulate Find each angle measure. A. mECF B. mDCE You Try: Find mQRS. Remember that postulates are statements that are accepted without proof. Since the Corresponding Angles Postulate is given as a postulate, it can be used to prove the next three theorems. Example 2: Finding Angle Measures Find each angle measure. A. mEDG You Try Find mABD. B. mBDG EXIT TICKET Name ________________________________ When two parallel lines are cut by a transversal: 1. Corr. <s are __________ Alt. Int. <s are _________ Alt. Ext. <s are __________ Same-Side Int. <s are _______ Same-Side Ext. <s are __________ Vert. <s are _________ EXIT TICKET Name ________________________________ When two parallel lines are cut by a transversal: 1. Corr. <s are __________ Alt. Int. <s are _________ Alt. Ext. <s are __________ Same-Side Int. <s are _______ Same-Side Ext. <s are __________ Vert. <s are _________ EXIT TICKET Name ________________________________ When two parallel lines are cut by a transversal: 1. Corr. <s are __________ Alt. Int. <s are _________ Alt. Ext. <s are __________ Same-Side Int. <s are _______ Same-Side Ext. <s are __________ Vert. <s are _________