1. For each statement below, write whether the statement is true or false. A set of ordered pairs describe a function if each x-value is paired with only one y-value. __________ A table of values describes a function if each x-value is paired with only one y- value. __________ A mapping is a function if each x-value is mapped to only one y-value. __________ A graph describes a function if it is a line. __________

2. Which of the following transformation never changes the orientation of the two- dimensional figure on a coordinate plane? F a rotation of 180° clockwise G a reflection over the x-axis H a reflection over the y-axis J a translation that moves the figure up only

3. Quadrilateral FGHI has coordinates F(0, 4), G(-3, 4), H(4, 7), and I(9, 0). Quadrilateral FGHI is dilated with a scale factor of 2. Which of the following could be a coordinate of the dilated quadrilateral? A (2, -2) C (8, 14) B (-6, 6) D (18, 2)

4. Which mapping represents a function?

5. Describe each type of transformation listed below. a. rotation ______________________ ______________________________ b. reflection ____________________ ______________________________ c. translation ___________________ ______________________________ d. dilation ______________________ ______________________________ Which transformations do not affect the orientation of the two- dimensional figure on a coordinate plane?

6. Classify each of the following transformation representations. Use the graph to help you. a. (x, y)  (0.1x, 0.1y) b. (x, y)  (2.9x, 2.9y) c. (x, y)  (x + 0.75, y + 0.75) d. (x, y)  (0.5x, 0.5y) e. (x, y)  (x - 15, y - 7) f. (x, y)  (x + 0.75, y + 0.75) g. (x, y)  (-x, y) h. (x, y)  (x, -y)

7. Four sets of ordered pairs are shown below. a. {(2, -4), (-3, -5), (3, 3), (-2, 6)} b. {(5, 2), (3, 2), (-1, 2), (-3, 4)} c. {(-6, -4), (-4, -4), (-2, -4), (-5, -4)} d. {(3, 2), (-3, -2), (5, 6), (8, 2)} Which set of ordered pairs describes a function? A a only B a and c only C a, b, and d only D All of the above

8. A scale drawing of a city park uses a scale of 1 inch represents 1.5 feet. If the drawing is plotted on a coordinate grid, what is the algebraic representation from drawing to the city park? F (x, y)  (x, y) G (x, y)  (36x, 36y) H (x, y)  (18x, 18y) J (x, y)  (24x, 24y)

9. Triangle ABC with coordinates A(3, 6), B(-4, 2) and C(2, 0). The triangle is to be rotated 90° clockwise. What will be the coordinates of A’ and B’? A A’(6, -3) and B’(2, 4) B A’(6, 3) and B’(2, -4 ) C A’(-3, 6) and B’(4, 2) D Not Here

10. Which of the following is NOT a function?

11. Which of the following is not a function?

12. Which set of coordinates describes a function? A {(0, -4), (- 2, -7), (0, 2), (- 3, 8)} B {(6, 2), (3, 5), (1, 10), (3, 7)} C {(- 6, -4), (- 3, -3), (2, -2), (2, -8)} D {(8, 4), (- 8, -4), (2, 8), (4, 2)}

13. What is the orientation of this figure after it is translated 2 units up and 5 units right?

14. The triangle below is reflected over the y-axis. Tell whether each statement below is true or false. The image will have the same orientation as the original figure. ___ The image will be the same size as the original figure. ____ The image will not be the same shape as the original figure. ____ The image will be located entirely in Quadrant I. ____

15. Triangle ABC has coordinates A(2, 8), B(-1, 5), and C(4, - 4). Triangle ABC is dilated with the origin as the center of dilation. The coordinates of the dilation are A’(3, 12), B’(-1.5, 7.5), and C’(6, -6). Which algebraic representation best describes this dilation? A (x, y)  (0.5x, 0.5y) B (x, y)  (x + 4, y + 7) C (x, y)  (2x, 2y) D (x, y)  (1.5x, 1.5y)

16. A rectangle is shown on the grid below. The rectangle is dilated with the origin as the center of dilation. The dilation is shown on the bottom grid below ( from left to right). Which of the following describes the dilation? A (x, y)  (x - 2, y + 2) B (x, y)  (2.5x, 2.5y) C (x, y)  (-2.5x, -2.5y) D (x, y)  (x + 2, y + 2)

17. Four sets of ordered pairs are shown below. Circle the set(s) of ordered pairs that describe a function. a. {(1, -4), (-2, -5), (5, 5), (-2, 6)} b. {(5, 2), (3, 2), (-1, 2), (-1, 4)} c. {(-6, -1), (-3, -4), (0, -4), (-5, -4)} d. {(7, 2), (8, -2), (1, 6), (3, 2)}

18. Which of the following is a function?

19. A triangle with coordinates (-4, 3), (6, 9) and (2, -3). The triangle is reflected across the y-axis and then translated 3 units up and 2 units right. Which of the following will be the coordinates of the image after both transformations? A (- 2, 0), (8, -6), (4, 6) B (6, 6), (- 4, 12), (0, 0) C (4, 3), (- 6, 9), (-2, -3) D (6, 6), (12, -4), (2, -6)

20. Triangle ABC has vertices A (3, 5), B (1, 7) and C (-1, -2). The translation to create triangle A’B’C’ is (x, y)  (x - 3, y + 4). Which of the following will be the coordinates of triangle A’B’C’? F A’ (6, 5), B’(4, 7), C’(-4, 2) G A’ (3, 9), B’(1, 11), C’(-1, 6) H A’ (0, 9), B’(-2, 11), C’(-4, 2) J A’ (0, 9), B’(-2, 3), C’(4, 6)