Name:    Section-01-04-Compound Transforms

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

 A coordinate grid system is overlayed on a hole at a golf course.  Jim starts with the golf ball at the coordinates (0, - 4).Which sequence of transformations would sink the ball in the hole located at the point (-2, 4)? a. First, rotate the golf ball 90° counter clockwise about the origin.Then, translate the golf ball along the vector . b. First, reflect the golf ball over the line .  Then, translate the golf ball along the vector . c. First, translate the golf ball along the vector .First, reflect the golf ball over the line y-axis. d. First, reflect the golf ball over the line x-axis.  Then, translate the golf ball along the vector .

2.

Consider the point C located at the coordinates (x, y).  The point C’ coordinates are located at .  Finally, the point C” coordinates are located at .

Describe the transformations that map point C onto the point C”.

 a. First, translate the point C to the right 1 and down 3.  Then, dilate that point by a scale factor of to the origin. b. First, translate the point C to the left 1 and up 3.  Then, dilate that point by a scale factor of to the origin. c. First, translate the point C to the right 1 and down 3.  Then, dilate that point by a scale factor of 2 from the origin. d. First, translate the point C to the left 1 and up 3.  Then, dilate that point by a scale factor of 2 from the origin.

3.

 Consider the point A located at the coordinates (3, 5). First, reflect the point over the x-axis. Then, translate that reflected point up 4 units and label this point A”.  What are the coordinates of A”? a. A”(-3, 9) c. A”(1, 5) b. A”(7, -5) d. A”(3, -1)

4. has vertices A(2, 1), B(4, 2), and C(4, 1). Rotate 90° counterclockwise about the origin and then reflect it across the x-axis. Which graph below shows this sequence of transformations?

 a. c. b. d. None of these show the correct sequence of transformations.

5.

 Which two types of transformations must have been used to map the pentagon JKLMN onto the pentagon J”K”L”M”N”? a. Translation and Rotation c. Rotation and Dilation b. Reflection and Dilation d. Dilation and Translation

6.

First, quadrilateral ABCD is first reflected over line m. Then, the image is reflected over line l to create the quadrilateral A”B”C”D”.  Lines l and m intersect at a 45º at point E. What is another type of transformation that would map quadrilateral ABCD onto quadrilateral A”B”C”D”?

 a. Rotate quadrilateral ABCD 90º about point E where lines l and m intersect b. Reflect quadrilateral ABCD over a line that is half way between lines l and m. c. Translate quadrilateral ABCD left 3 units and up 1 unit. d. Dilate quadrilateral ABCD by a scale factor of 45 from point E.