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?
                    mc001-1.jpg
a.
mc001-2.jpg(9, 0), mc001-3.jpg(3, -3), mc001-4.jpg(0, -9)
c.
mc001-8.jpg(-9, 0), mc001-9.jpg(-3, 3), mc001-10.jpg(0, 9)
b.
mc001-5.jpg(-9, 0), mc001-6.jpg(-3, -3), mc001-7.jpg(0, -9)
d.
mc001-11.jpg(-9, 0), mc001-12.jpg(-3, 3), mc001-13.jpg(0, 9)
 

 2. 

Refer to question 1. What are the coordinates of the vertices after two clockwise rotations?
a.
mc002-1.jpg(-9, 0), mc002-2.jpg(-3, 3), mc002-3.jpg(0, 9)
c.
mc002-7.jpg(-9, 0), mc002-8.jpg(-3, -3), mc002-9.jpg(0, -9)
b.
mc002-4.jpg(-9, 0), mc002-5.jpg(-3, 3), mc002-6.jpg(0, 9)
d.
mc002-10.jpg(9, 0), mc002-11.jpg(3, -3), mc002-12.jpg(0, -9)
 

 3. 

Refer to question 1. What are the coordinates of the vertices after three clockwise rotations?
a.
mc003-1.jpg(9, 0), mc003-2.jpg(3, -3), mc003-3.jpg(0, -9)
c.
mc003-7.jpg(-9, 0), mc003-8.jpg(-3, 3), mc003-9.jpg(0, 9)
b.
mc003-4.jpg(-9, 0), mc003-5.jpg(-3, 3), mc003-6.jpg(0, 9)
d.
mc003-10.jpg(-9, 0), mc003-11.jpg(-3, -3), mc003-12.jpg(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?
             mc005-1.jpg
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
 



 
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