North Carolina Math 2 Transition Edition Unit 1 Assessment: Transformations
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1 Name: Class: _ Date: _ North Carolina Math Transition Edition Unit 1 Assessment: Transformations Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Given the graph below, what is f()? a. f() = c. f(1) = b. f() = 0 d. f() = 1. If f(x, y) = ( x, y) and g(x, y) = (x +, y), then what is f(g(8, 3))? a. ( 10, 3) c. (10, 3) b. (3, 10) d. ( 3, 10) 3. A translation is a transformation that moves each point of a figure the same in the same direction. a. arc length c. angle measure b. rotation d. distance 4. What type of function maps an input onto itself? a. reflective function c. identity function b. negative function d. opposite function 5. How many lines of symmetry does a regular hexagon have? a. c. 6 b. 3 d. 1 1
2 Name: 6. Rotation transformations move all points: a. the same distance in a circular direction b. the same distance in different directions c. a different distance in a circular direction d. the same distance and direction 7. The image of a reflection will be the preimage. a. smaller than b. larger than c. not congruent but the mirror image of d. congruent and the mirror image of 8. What type of lines do translations move all points in a set along? a. parallel c. skew b. independent d. perpendicular 9. The point J (8, 8) undergoes the translation T, 1. What are the coordinates of J? a. (6, 9) c. (10, 7) b. (8, 8) d. (, 1) 10. The point S (x, y) = ( y, x). What transformation is S? a. R 70 c. r x axis b. R 90 d. R What are the coordinates of R180(R90(x, y)) if (x, y) = ( 8, 4)? a. (8,4) c. (4, 8) b. ( 4,8) d. ( 8, 4) 1. What translation moves the point Q ( 7, 5) to ( 8, 5)? a. T15, 10 c. T 15, 10 b. T 1, 0 d. T1, If W ( 7, 6) and R70 (W) = W, what are the coordinates of W? a. (6, 7) c. ( 7, 6) b. (6, 7) d. ( 6, 7)
3 Name: 14. What illustration predicts the effect(s) of rotating the given triangle 70 counterclockwise about R? a. c. b. d. 3
4 Name: 15. What illustration predicts the effect(s) of translating the given triangle to the right 5 units and up 6 units? a. c. b. d. 4
5 Name: 16. Are the two figures below congruent? Why or why not? a. Congruent; ABCD has undergone a rigid motion of a reflection. b. Not congruent; ABCD has undergone a rigid motion of a reflection. c. Not congruent; ABCD has undergone a non-rigid motion of a rotation. d. Congruent; ABCD has undergone a rigid motion of a rotation. 17. Are the two figures below congruent? Why or why not? a. Not congruent; ΔABC has undergone a non-rigid motion of a vertical stretch. b. Congruent; ΔABC has undergone a rigid motion of a reflection. c. Congruent; ΔABC has undergone a non-rigid motion of a dilation. d. Not congruent; ΔABC has undergone a non-rigid motion of a vertical compression. 5
6 Name: 18. What illustration predicts the effect(s) of reflecting the given triangle over the line x = 3? a. c. b. d. 6
7 Name: 19. Determine the scale factor of the dilation below. a. k = 1 c. k = 1 3 b. k = d. k = 1 0. Given that ABC with vertices A = (1, 4), B= (3, 7), and C = (4, 1) has been transformed to A B C with vertices A = (1.5, 6), B = (4.5, 10.5), and C = (6, 1.5) via a dilation centered at the origin, which function represents the transformation? a. D 3 (x,y) = ( 3 x,y) c. D 3 (x,y) = (x + 3,y + 3 ) b. D 3 (x,y) = (x, 3 y) d. D 3 (x,y) = ( 3 x, 3 y) 7
8 North Carolina Math Transition Edition Unit 1 Assessment: Transformations Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 REF: MI.1 NAT: F-IF. TOP: Graphs As Solution Sets and Function Notation KEY: function notation exponential function function solution set. ANS: A PTS: 1 REF: MI 5.1 NAT: G-CO. TOP: Introducing Transformations KEY: transformation translation 3. ANS: D PTS: 1 REF: MI 5.1 NAT: G-CO. TOP: Introducing Transformations KEY: transformation isometry translation reflection rotation 4. ANS: C PTS: 1 REF: MI 5.1 NAT: G-CO.3 TOP: Introducing Transformations KEY: identity function transformation 5. ANS: C PTS: 1 REF: MI 5.1 NAT: G-CO.3 TOP: Introducing Transformations KEY: line of symmetry regular polygon 6. ANS: C PTS: 1 REF: MI 5. NAT: G-CO.4 KEY: rotation translation reflection transformation 7. ANS: D PTS: 1 REF: MI 5. NAT: G-CO.4 KEY: translation rotation reflection transformation 8. ANS: A PTS: 1 REF: MI 5. NAT: G-CO.4 KEY: translation transformation 9. ANS: A PTS: 1 REF: MI 5. NAT: G-CO.5 KEY: translation transformation 10. ANS: B PTS: 1 REF: MI 5. NAT: G-CO.5 KEY: translation rotation reflection transformation 11. ANS: B PTS: 1 REF: MI 5. NAT: G-CO.5 KEY: rotation transformation 1
9 1. ANS: B PTS: 1 REF: MI 5. NAT: G-CO.5 KEY: translation transformation 13. ANS: B PTS: 1 REF: MI 5. NAT: G-CO.5 KEY: rotation transformation 14. ANS: D PTS: 1 REF: MI 5.5 NAT: G-CO.6 KEY: rotation transformation 15. ANS: C PTS: 1 REF: MI 5.5 NAT: G-CO.6 KEY: translation transformation 16. ANS: A PTS: 1 REF: MI 5.5 NAT: G-CO.6 KEY: congruent figures rigid motion transformation 17. ANS: A PTS: 1 REF: MI 5.5 NAT: G-CO.6 KEY: congruent figures rigid motion vertical stretch vertical compression transformation 18. ANS: C PTS: 1 REF: MI 5.5 NAT: G-CO.6 KEY: reflection transformation 19. ANS: A PTS: 1 REF: MII 5. NAT: G-SRT.1b TOP: Investigating Properties of Dilations KEY: center of dilation dilation enlargement reduction scale factor 0. ANS: D PTS: 1 REF: MII NAT: G-SRT.1a TOP: Investigating Properties of Parallelism and the Center KEY: center of dilation dilation transformation
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