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HW-pgs. 148-149 (1-21) 2.6-3.2 Quiz THURSDAY 10-24-13 www.westex.org HS, Teacher Websites 10-22-13 Warm up—Geometry H How can two lines never intersect yet not be parallel? GOAL: I will be able to: 1. identify parallel, perpendicular, and skew lines. 2. identify the angles formed by two lines and a transversal. HW-pgs. 148-149 (1-21) 2.6-3.2 Quiz THURSDAY 10-24-13 www.westex.org HS, Teacher Websites Name _________________________ Geometry H 3-1 Lines and Angles GOAL: I will be able to: 1. identify parallel, perpendicular, and skew lines. 2. identify the angles formed by two lines and a transversal. Example 1: Identifying Types of Lines and Planes Identify each of the following. A. a pair of parallel segments B. a pair of skew segments C. a pair of perpendicular segments D. a pair of parallel planes Date ________ You Try: Identify each of the following. A. a pair of parallel segments B. a pair of skew segments C. a pair of perpendicular segments D. a pair of parallel planes Example 2: Classifying Pairs of Angles Give an example of each angle pair. A. corresponding angles B. alternate interior angles C. alternate exterior angles D. same side interior angles You Try Give an example of each angle pair. A. corresponding angles B. alternate interior angles C. alternate exterior angles D. same side interior angles Name _________________________ Geometry Honors Date ________ 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 __________ __________