GSE Geometry Unit 1 Transformations Review #1 Answer Key

GSE Geometry Unit 1: Transformations Review #1Solve Problems 1–9 using linear pairs, vertical angles, triangle sums, angle addition, exterior angles, isosceles triangles, complements, and supplements.For Problems 10–13, name each angle pair and state whether the angles are congruent or supplementary. For Problem 14, use m ∥ n and m∠8 = 112° to find ∠1–∠7. Solve the angle equations in Problems 15–16.For Problems 17–24, graph the image of each preimage. Vertices are listed in tracing order; reconnect the final vertex to the first except in Problem 23, which is a line segment.17. (2,9), (0,-1), (6,-7); translate by (x,y) → (x-8,y-3)18. (-10,10), (-8,3), (4,5); reflect across the x-axis19. (-4,7), (2,9), (0,5), (6,-4), (-7,-5), (-1,0); reflect across x=-220. (-9,3), (-5,-2), (-9,-7), (2,-2); reflect across the y-axis21. (-3,-6), (1,-3), (9,-9); rotate 180° about the origin22. (-7,8), (-7,5), (-2,5), (1,8); rotate 90° clockwise about the origin23. Segment endpoints (-8,-2), (-4,9); translate by (x,y) → (x+9,y-8), then rotate 90° counterclockwise about the origin24. (-5,6), (-2,7), (-1,-9); translate by (x,y) → (x+4,y-2), rotate 180° about the origin, then reflect across y=x.