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Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 Page 1 www.jmap.org Name: __________________________________ CC.G.CO.5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. 1 The accompanying graph represents the figure Which graph represents 1) 2) 3) 4) I. I after a transformation defined by ? Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 Page 2 www.jmap.org Name: __________________________________ 2 Given point . State the coordinates of the image of A under the composition . [The use of the accompanying grid is optional.] 3 On the accompanying grid, graph and label , where A is and B is . Under the transformation , A maps to , and B maps to . Graph and label . What single transformation would map to ? Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 Page 3 www.jmap.org Name: __________________________________ 4 On the accompanying grid, graph and label . On the same grid, graph and label transformation . with vertices . the image of , , and after the 5 Given with points , , and . On the grid below, sketch . On the same set of axes, graph and state the coordinates of , the image of after a reflection in the line . On the same set of axes, graph and state the coordinates of , the image of after the translation . Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 Page 4 www.jmap.org Name: __________________________________ 6 Triangle ABC has coordinates , a On the grid below, draw and label b Graph and state the coordinates of . c Write a transformation equivalent to , and . . , the image of . after the composition Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 Page 5 www.jmap.org Name: __________________________________ 7 Given: with coordinates , a On the graph below, draw and label b Graph and state the coordinates of . c Graph and state the coordinates of the x-axis. d Graph and state the coordinates of in the origin. , and . . , the image of , the image of , the image of after the translation after a reflection in after a reflection Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 Page 6 www.jmap.org Name: __________________________________ 8 Triangle ABC has coordinates , a On the graph below, draw and label b Graph and state the coordinates of the line . c Graph and state the coordinates of . d Graph and state the coordinates of translation that maps onto , and . . , the image of , the image of , the image of . after a reflection in following after a Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 Page 7 www.jmap.org Name: __________________________________ 9 On the graph below, draw and label , whose vertices are , , and On the same set of axes, graph and state the coordinates of a , the image of after . b , the image of after . c , the image of after . Based upon these graphs, write a single transformation that shows the composition . . Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 Page 8 www.jmap.org Name: __________________________________ 10 Given triangle ABC with coordinates , a On the graph below, draw and label . b Graph and label , the image of c Graph and label , the image of d Graph and label , the image of , and . after translation . after a reflection in the origin. after a reflection in the line . Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 Page 9 www.jmap.org Name: __________________________________ 11 Triangle ABC has coordinates , a On the graph below, graph and label b Graph and state the coordinates of in the origin. c Graph and state the coordinates of . d Graph and state the coordinates of . , and . . , the image of , the image of , the image of after a point reflection reflected in the line after translation Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 Page 10 www.jmap.org Name: __________________________________ 12 A shape to be used in a computer game is placed on a Cartesian coordinate plane. The equation of the shape is . On the accompanying grid, graph the shape and label it a. In the game, the shape is moved under the composition . Draw this image, label it b, and state its equation. Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 www.jmap.org 1 ANS: 3 2 ANS: REF: 080219b . . The coordinates of the image of A after the reflection are the translation, the coordinates of the image of A are REF: 080626b 3 ANS: Single transformations include REF: 080327b 4 ANS: REF: 060928b 5 ANS: ; REF: 080141siii 6 ANS: , , and . After Regents Exam Questions CC.G.CO.5: Compositions of Transformations 3 www.jmap.org ; REF: 019541siii 7 ANS: ; ; REF: 018739siii 8 ANS: ; ; REF: 018936siii 9 ANS: ; ; REF: 089938siii 10 ANS: ; ; REF: 018541siii 11 ANS: ; REF: 088741siii 12 ANS: REF: 061029b ; ;