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Geometry - Unit 3 Unit 3 Review Jeopardy Transversal Parallel Lines Polygons Equations of Lines Proofs $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 100 What type of angle pairs are shown? Are they congruent, supplementary, or neither? 1 2 Alternate Interior Angles; Congruent 200 What type of angle pairs are shown? Are they congruent, supplementary, or neither? 1 2 Same-Side Exterior Angles; Supplementary 300 What type of angle pairs are shown? Are they congruent, supplementary, or neither? 1 2 Vertical Angles; Congruent 400 What type of angle pairs are shown? Are they congruent, supplementary, or neither? 1 2 Alternate Exterior Angles; Congruent 500 What type of angle pairs are shown? Are they congruent, supplementary, or neither? 2 1 Same-side Interior; Neither 100 True or False: All parallel lines are coplanar. True 200 Find the value of the unknown angle. Justify your answer. 125° 2 125°; Alternate Interior Angles Theorem 300 Find the value of the unknown angle. Justify your answer. 98° 1 82°; Same-Side Interior Angles Theorem 400 Which lines, if any, do we know are parallel using the given information. Justify! 1 2 180 m l a 2 b 1 c l || m; Converse of SameSide Ext. Angles Theorem 500 Which lines, if any, do we know are parallel using the given information. Justify! 1 2 m l 2 a b 1 c None 100 Find the value of the variable in the following diagram. 104° 138° x° 87° 170° 135° x = 86 200 Find the value of the variable in the following diagram. x° 49° 68° x = 117 300 Find the measure of an interior angle of a regular 18-gon. 160° 400 Find the value of the variable in the following diagram. 43° x° 38° x = 99 500 Find the value of the variable in the following diagram. 43° x° 50° 87° x° x = 133 100 Find the slope between (3,-6) and (8,9) m=3 200 Graph the equation below using the slope and y-intercept. 7 y 3 x 5 1 1 300 Graph the equation below by finding the intercepts. 2x 4 y 12 1 1 400 Find the equation of the line parallel to the line y + 4x = 17 through the point (-3,-5) y + 5 = -4(x + 3) 500 Find the equation of the line perpendicular to the line 2y - 6x = 18 through the point (8,-1) 1 y 1 (x 8) 3 100 Which definition, property, theorem, or postulate proves the following. If m1 m2 180 and m2 103 , then m1 103 180 Substitution Property of Equality 200 Which definition, property, theorem, or postulate proves the following. If m1 103 180 , then m1 77 Subtraction Property of Equality 300 Complete the proof of the alternate interior angles theorem. t a Given : a || b b 4 3 2 1 Prove : 1 3 Statements Reasons a || b 2. 1 4 1. Given 3. 4 3 3. Vertical angles theorem 4. 1 3 4. Transitive prop of congruence 1. 2. Corresponding angles postulate 400 Complete the proof of the following theorem. n 1 l 2 Given : n l, and l || m Prove : n m Statements m Reasons 1. n l, and l || m 1. Given 2. 1 is a right 2. Defn. of perpendicular lines 3. 2 is a right 3. Corresp. ‘s of || lines are 4. n m 4. Defn. of perpendicular lines 500 Complete the proof of the converse of the alternate interior angles theorem. l 3 1 m Given : 2 1 2 Prove : l || m Statements Reasons 1. 2 1 1. Given 2. 1 3 2. Vertical 's are 3. 2 3 3. Transitive prop. of congruence 4. l || m 4. Conv. of corresp. angles post. Insert Question Insert Answer FINAL JEOPARDY Enter Title Here ? If two lines are perpendicular to the same line, then they are parallel to each other. Prove from scratch. t m n 1 2