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Geometry Parallel Lines Cut by a Transversal Investigation Day _____ CW/HW Name Date Block 1. a) In figure A, take a sheet of patty paper and place it over <1 . Using a ruler, make a precise copy of <1. Slide (translate) the copy of <1 to <5 and compare the sizes of the two angles. What do you observe? b) Repeat this process for <1 and <5 in figure B. What do you observe? c) In figure A, trace a copy of <3 and try to fit it over <6. What do you observe? d) Repeat this process for <3 and <6 in figure B. What do you observe? e) Both figures show two lines that are cut by a transversal. Under what condition will certain pairs of angles be equal? 2. Use what you know about straight angles to calculate the measures of the missing angles: Write the measure of each angle next to the letter that represents it. (figure not drawn to scale) a 107° c l d e f g m 73° 3. Based on the picture from #2, which of the following angle pairs are congruent? (Circle all that apply) Alternate Interior Same-Side Interior Corresponding Alternate Exterior 4. What must be true about lines l and m in order for the angle pairs above to be congruent? 5. Which pair of angles from the picture in #2 was not congruent? What special relationship do they have? Explain how you know. 6. Complete the following sentences: a) If 2 parallel lines are cut by a transversal, then alternate interior angles are _____________. b) If 2 parallel lines are cut by a transversal, then same-side interior angles are ____________. c) If 2 parallel lines are cut by a transversal, then alternate exterior angles are ____________. d) If 2 parallel lines are cut by a transversal, then corresponding angles are _______________. 7. Classify each of the following pairs of angles as corresponding, alternate interior, alternate exterior, same-side interior, supplementary, vertical, or none of these. a) b) c) d) e) f) g) h) i) a b Use what you know about straight angles to calculate the measures of the missing angles: