Name: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size

Transcription

1 Name: 1) Which of the following properties of an object are not preserved under a rotation? A) orientation B) none of these C) shape D) size 2) Under a certain transformation, A B C is the image of ABC. The perimeter of A B C is twice the perimeter of ABC. This transformation is a. A) rotation B) translation C) reflection D) dilation 3) Triangle ABC is congruent to triangle PQR. c0565ab5 Page 1 Which sequence of congruency transformations maps triangle ABC onto triangle PQR? A) a rotation of 90 clockwise about A followed by a line reflection B) a rotation of 180 clockwise about A followed by a translation C) a rotation of 90 counterclockwise about A followed by a line reflection D) a point reflection in B followed by a translation 4) What is the image of point ( 2,5) after a reflection in the x axis? 5) What is the image of point (4,5) after a reflection in the y axis? 6) Based on the accompanying diagram, is reflecting ABC over the x axis and then the y axis the same as reflecting ABC over the y axis and then the x axis? Explain your answer. 7) The point R( 2,5) is reflected in the x axis. In which quadrant does the image of point R lie? 8) What are the coordinates of A, the image of A(2,3) after a reflection in the x axis?

2 c0565ab5 Page 2 9) What are the coordinates of N, the image of N(5, 3) under a reflection in the y axis? 10) Triangle SUN has coordinates S(0,6), U(3,5), and N(3,0). On the accompanying grid, draw and label SUN. Then, graph and state the coordinates of S U N, the image of SUN after a reflection in the y axis. 11) Rotate segment below 90 degrees counterclockwise about the origin. What are the coordinates of points A and B, respectively? A) A ( 3,1) and B ( 5,4) B) A ( 1, 3) and B ( 4, 5) C) A (1,3) and B (4,5) D) none of these

3 c0565ab5 Page 3 12) Graph the 180 degree rotation of triangle XYZ about the origin and label the image appropriately. In what quadrant is point X located? A) I B) II C) III D) IV 13) Perform the operation R 270 cw about the origin on square ACEG below. In which quadrant(s) are all 4 points of the image located? A) I, only B) II, only C) II and III, only D) I and II, only 14) Given: Triangle ABC has coordinates A(3,4), B(1,7), and C(3,7). Part A On graph paper, draw and label ABC. Part B Graph and state the coordinates of A B C, the image of ABC after a reflection in the y axis. Part C Graph and state the coordinates of A B C, the image of A B C after a reflection in the line y = x. Part D Graph and state the coordinates of ABC, the image of A B C after the translation that moves (x,y) to (x + 5,y 1).

4 c0565ab5 Page 4 15) Which of the following graphs of a relation is also a function? A) B) C) D) 16) Which of the following graphs of a relation is also a function? A) B) C) D) none of the above 17) Which of the following relations is also a function? A) {(1,3), (2,7), (1, 2)} B) {(1,2), (4,3), (4,5)} C) x + 2 = 7 D) {(2,1), (3,4), (5,1)} 18) Which of the following relations is not a function? A) {(3,2), (5,3), (5,5)} B) y = 2x + 3 C) y = 3 D) y + x = 2 19) Which of the following relations is not a function? A) {(1,4), (3,8), (5,16)} B) {(1,1), (2,2), (3,3)} C) {(1,1), (2,1), (3,1)} D) {(1,1), (1,2), (1,3)} 20) The relation defined by the set of ordered pairs {(0,2), ( 2,2), (1,4), (0, 1)} is not a function. Which of the ordered pairs listed below, if omitted from this relation, will make the resulting set a function? A) (0, 1) B) ( 2,2) C) (4,1) D) (1,4) 21) Which of the following is not a representation of the function graphed below? A) B) {(x,y) y = x 3; x = 5,6,7,8} C) D) (2,5),(3,6),(4,7),(5,8)

5 c0565ab5 Page 5 22) Is the relation below a function? Justify your answer. {(1,2), (5,8), (3,4), (6,3)} 23) Draw a mapping diagram that does not represent a function. 24) Using the graph of the linear function below, find the corresponding output value when the input value is 2. 25) Using the graph of the linear function below, find the corresponding input value when the output value is 3. 26) Part A: Complete the table below for the function f(x) = x + 3. Part B: On graph paper, sketch a graph of this function and label the graph with its equation. Part C: Using your graph for Part B, where will the graph of y = 1 intersect the graph of f(x) = x + 3? Answer:

6 c0565ab5 Page 6 27) Use the definition of a function to explain why the set {( 2,1), (1,3), (0,2), (5,3)} is a function. 28) Given accompanying table of values represents a function f. Part A Represent function f using both function notation and mapping notation. Function: Mapping: Part B Represent function f graphically. 29) On the accompanying diagram, draw a mapping of a relationship from set A to set B that is a function. Explain why the relationship you drew is a function.

7 c0565ab5 Page 7 30) Which mapping diagram does not represents a function? A) B) C) D)