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9. What is the measure of angle b? What vocabulary words apply to this Figure? 1) 2) A. 1,2,and 3 B. 1 and 2 C. 1 and 3 D. 2 and 3 11. A point is located at (4, 3) and undergoes a single type of transformation. Which of the following transformations could be used to create an image located at (4, -3)? 1) Translation 2) Reflection 3) Rotation C.A. Warm Up 3/9/15

9. What is the measure of angle b? What vocabulary words apply to this Figure? 1) 2) A.1,2,and 3 B.1 and 2 C.1 and 3 D.2 and 3 11. A point is located at

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Page 1: 9. What is the measure of angle b? What vocabulary words apply to this Figure? 1) 2) A.1,2,and 3 B.1 and 2 C.1 and 3 D.2 and 3 11. A point is located at

9. What is the measure of angle b?

 What vocabulary words apply to this Figure?1)2)

A. 1,2,and 3

B. 1 and 2

C. 1 and 3

D. 2 and 3

11. A point is located at (4, 3) and undergoes a single type of transformation. Which of the following transformations could be used to create an image located at (4, -3)?1) Translation2) Reflection3) Rotation

C.A. Warm Up 3/9/15

Page 2: 9. What is the measure of angle b? What vocabulary words apply to this Figure? 1) 2) A.1,2,and 3 B.1 and 2 C.1 and 3 D.2 and 3 11. A point is located at

14. Match each of the following Counter clockwise rotations about the origin to the appropriate function.

Questions 1. 90 2. 180 3. 270

Answer Choices

A. (-x,-y)

B. (y,-x)

C. (-y,x)

D. (y,x)

15. Match where the point (2,3) would be after each transformation.

Questions 1. down three, and left 5 2. Reflected over the x axis 3. rotated 270 counter

clockwise

Answer Choices

A. (2,-3)

B. (-3,2)

C. (-3,0)

D. (3,-2)

Page 3: 9. What is the measure of angle b? What vocabulary words apply to this Figure? 1) 2) A.1,2,and 3 B.1 and 2 C.1 and 3 D.2 and 3 11. A point is located at

G.CO.3: MAPPING A FIGURE ONTO ITSELF

MARCH 9TH, 2015

Page 4: 9. What is the measure of angle b? What vocabulary words apply to this Figure? 1) 2) A.1,2,and 3 B.1 and 2 C.1 and 3 D.2 and 3 11. A point is located at

Discussion:

4

2

2

4

6

5

C

B

AA

1). What’s special about this figure?

2). What is the measure of each interior angle?

3). What is the sum of these angles?

4). What rotations will transform the triangle onto itself?

Page 5: 9. What is the measure of angle b? What vocabulary words apply to this Figure? 1) 2) A.1,2,and 3 B.1 and 2 C.1 and 3 D.2 and 3 11. A point is located at

MAPPING VOCABULARYA _____________ line is the line that reflects the image onto itself.

A rotation of ______ will carry any figure onto itself. Other figures have other rotations that will do this. These figures must be ____________. Thus for these figures have,

 Minimum rotation that carries

a figure onto itself

 

*Note that any _________ of this angle will rotate the figure onto itself also!

360⁰

equilateral

360

𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑖𝑑𝑒𝑠

multiple

reflection

Page 6: 9. What is the measure of angle b? What vocabulary words apply to this Figure? 1) 2) A.1,2,and 3 B.1 and 2 C.1 and 3 D.2 and 3 11. A point is located at

Ex 1). For a square centered at the origin as pictured below. a) Draw every reflection line that maps the figure onto itselfb) Give two rotations (other than the trivial one) that would transform the figure

onto itself. 6

4

2

2

4

6

5 5

D

C

F

E

Page 7: 9. What is the measure of angle b? What vocabulary words apply to this Figure? 1) 2) A.1,2,and 3 B.1 and 2 C.1 and 3 D.2 and 3 11. A point is located at

Ex 2). Consider the regular figure below centered at the origin. a) Draw every reflection line that maps the figure onto itselfb) Give two rotations (other than the trivial one) that would transform the figure

onto itself. 4

2

2

4