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Unit 2a Linear Pair Postulate: If two angles make up a linear pair, they add up to 180. 1.) Two parallel lines are cut by a transversal. Mark congruent angles on the diagram below. Name__________________________ Vertical Angle Theorem: If two angles are vertical angles, they are congruent to each other. Are the following two polygons similar? Explain. 7.) What are the 3 ways to prove triangles are similar? 4) Are the triangles similar? AA, SAS, and SSS similarity 8.) 5) 2.) Plot AB if A(2, 4) and B(5, 2). Dilate the whole line segment by a factor of 3 to obtain AB and graph it. What is the ratio of the lengths of AB to AB ? 9.) 6) 3.) Definition of Similar Polygons: Two polygons are similar if their corresponding angles are __________ corresponding sides are _________________. and the 10.) 11) 15.) Solve for x 19. The shadow of a 12-foot pole is 8 feet long at the same time the shadow of a tower is 35 feet long. How tall is the tower? 20. Solve for x, and find the missing side lengths. 12.) 16.) x = _________ 21. Solve for x. 13) 17.) f= 14) Write a 2-column proof. Given: <S = <V 22. Solve for x and y. 18) Prove: ΔLVO~ΔESO y x = _________ y = _______