Currituck County Schools



Transformations QuizName: _________________________Date: __________________________1. If a mechanic rotates the octagonal nut shown clockwise about its center, what is the angle of rotation that moves position 8 to position 5? ?? A. 35° B. 40° C. 225° D. 270°2. Which clockwise rotation about the origin will result in Point P having coordinates of ?? A. 90 degrees B. 180 degrees C. 270 degrees D. 360 degrees3. A?rectangle is transformed to form another?rectangle such that the corresponding sides of the and are unequal but proportional. Which transformation?of could result in /files/assess_files/6c23d206-9f1a-4b56-b591-a9bf855e6de8/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf?? A. dilation B. rotation? C. reflection? D. translation?4. If point?(–4, 3) is reflected about the line x = 0, then reflected about the line x = –1, what are the coordinates of the final result? ?? A. B. C. D. 5. Figure 2 is a transformation of Figure 1. Which series of transformations map Figure 1 to Figure 2? A. a reflection across the x-axis and a translation 2 units rightB. a reflection across the y-axis and a translation 2 units downC. a rotation of 90° clockwise about the origin and a translation 2 units downD. a rotation of 90° counterclockwise about the origin and a translation 2 units down6. Triangle PQR?has vertices at and and is translated by the vector to createWhat are the coordinates of and?? A. ? B. ? C. ? D. ?7. Which set of transformations is represented by /files/assess_files/0a6813e3-4762-42cd-8555-0c378a32113a/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf? A. a 180° counterclockwise rotation about the origin followed by a translation 1 unit to the right and 2 units up? B. a 90° counterclockwise rotation about the origin followed by a translation 1 unit to the left and 2 units up? C. a 90° clockwise rotation about the origin followed by a translation 1 unit to the right and 2 units up? D. a 180° clockwise rotation about the origin followed by a translation 1 unit to the left and 2 units up8. Point S is reflected about the x-axis in the coordinate plane and then rotated 90° counterclockwise about the origin to create Point S?. Which relationship between S? and S must be true? ??A. S? is the same point as S. ?B. S? is S reflected about the y-axis. ?C. S? is S reflected about the line y = –x. ?D. S? is the result of switching coordinates of S.9. Triangle ABC shown below is reflected?over the line??to obtain triangle?What sequence of?transformations would also map triangle?ABC?onto triangle ???? /files/assess_files/9e2d9f2a-64a6-4596-89fd-cb0fd1da7d02/formula_sheets/FL-IBTP_Math_Reference_Sheet_Grade_9-12.pdfFL-IBTP_Math_Reference_Sheet_Grade_9-12.pdf?? A. a?reflection over the x-axis followed by a translation down 2 units B. a reflection over the y-axis followed by a reflection over the line?? C. a?rotation of 180? about the origin,?then?a?reflection over the x-axis, and?then a translation left 2 units? D. a?rotation of 180? about the origin, then a?reflection over the y-axis, and then a translation up 2 units10. Which transformation will carry the rectangle shown onto itself?A. a reflection over line mB. a reflection over the line y = 1C. a rotation of 90 degrees counterclockwise about the originD. a rotation of 270 degrees counterclockwise about the origin11. FG has points F(2, 4) and G(6, 1). If FG is dilated with respect to the origin by a factor of k, to produce XY, which statement must be true?A. The line that passes through X and Y intersects the y-axis (0, 5.5 + k).B. The line that passes through X and Y intersects the y-axis at (0, 5.5).C. The line that passes through X and Y has a slope of -3k 4D. The line that passes through X and Y has a slope of -3 4 ................
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