Name:    Lesson 5 - Solve Problems Using Diagrams

1.

Part of a design has vertices at A(0, 9), B(3, 3), and C(0, 9), as shown on the grid. The entire design has rotation symmetry of order 4 about the origin. What are the coordinates of the vertices after one clockwise rotation?

 a. (9, 0), (3, -3), (0, -9) c. (-9, 0), (-3, 3), (0, 9) b. (-9, 0), (-3, -3), (0, -9) d. (-9, 0), (-3, 3), (0, 9)

2.

Refer to question 1. What are the coordinates of the vertices after two clockwise rotations?
 a. (-9, 0), (-3, 3), (0, 9) c. (-9, 0), (-3, -3), (0, -9) b. (-9, 0), (-3, 3), (0, 9) d. (9, 0), (3, -3), (0, -9)

3.

Refer to question 1. What are the coordinates of the vertices after three clockwise rotations?
 a. (9, 0), (3, -3), (0, -9) c. (-9, 0), (-3, 3), (0, 9) b. (-9, 0), (-3, 3), (0, 9) d. (-9, 0), (-3, -3), (0, -9)

4.

Refer to question 1. The final design is created from the vertices of the four rotations. How many lines of symmetry does the final design have?
 a. 2 b. 4 c. 6 d. 5

5.

How was the blue section of this design transformed to create the purple section?

 a. translation (0, 6D) c. reflection in the x-axis b. rotation 90° cw about the origin d. reflection in the line y = x

6.

Refer to question 5. How was the blue section of the design transformed to create the red section?
 a. reflection in the x-axis c. rotation 180° cw about the origin b. reflection in the y-axis d. reflecting in the line y = x

7.

Refer to question 5. How was the blue section of the design transformed to create the green section?
 a. reflection in the line y = x c. reflection in the y-axis b. rotation 90° cw about the origin d. rotation 180° cw about the origin

8.

Refer to question 5. How many lines of symmetry does the design have?
 a. 2 b. 4 c. 3 d. 1

9.

Refer to question 5. What is the order of rotation symmetry of the design?
 a. 1 b. 4 c. 2 d. 6