Warm up What type of transformation is shown? Write the algebraic representation. Write the...
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![Page 1: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/1.jpg)
Warm up
What type of transformation is shown? Write the algebraic representation.
Write the coordinates of the original triangle after reflection overX- axis:
Y-axis:
![Page 2: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/2.jpg)
![Page 3: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/3.jpg)
RotationsA turn around a center.
The distance from the center to any point on the shape stays the
same.
![Page 4: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/4.jpg)
Any figure that can be turned or rotated less than 360° about a fixed point so that the figure looks exactly as it does in its original position.
Rotational Symmetry
![Page 5: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/5.jpg)
![Page 6: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/6.jpg)
Rotate 90 Clockwise about the Origin
(Same as 270 Counterclockwise)
Change the sign of x and switch the order
x,y y, x
![Page 7: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/7.jpg)
Rotate 90° clockwiseabout the origin
A( 7, 3) A'( , )
B(1, 4) B'( , )
C(3, 1) C '( , )
![Page 8: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/8.jpg)
Rotate 90° clockwiseabout the origin
A( 7, 3) A' 3,7
B(1, 4) B' 4, 1
C(3, 1) C ' 1, 3
![Page 9: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/9.jpg)
Rotate 180 clockwise about the origin
ONLY Change the signs
,,y yx x
![Page 10: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/10.jpg)
Rotate 180° clockwise about the origin
Q( 8, 2) Q '( , )
R( 8, 9) R'( , )
S( 2, 2) S'( , )
T( 2, 9) T'( , )
![Page 11: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/11.jpg)
Rotate 180° about the origin
Q( 8, 2) Q ' 8,2
R( 8, 9) R' 8,9
S( 2, 2) S' 2,2
T( 2, 9) T' 2,9
![Page 12: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/12.jpg)
Rotate 270 clockwise about the Origin
Change the sign of y and switch the order
x,y y,x
![Page 13: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/13.jpg)
Rotate 270° clockwiseabout the origin
E( 3, 2) ( , )
F( 6, 5) ( , )
G(0, 2) ( , )
![Page 14: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/14.jpg)
Rotate 270° clockwiseabout the origin
E( 3, 2) E' 2, 3
F( 6, 5) F' 5, 6
G(0, 2) G ' 2,0
![Page 15: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/15.jpg)
Rotation 180 degrees about the origin
![Page 16: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/16.jpg)
Rotation 270 degrees about the origin Or 90 degree counter clockwise about the origin
![Page 17: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/17.jpg)
Rotation 90 degrees about the origin
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Write down the coordinates of the image after each transformation.
![Page 19: Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f2b5503460f94c46603/html5/thumbnails/19.jpg)
Write a rule to describe each transformation
90 degree rotation 180 degree rotation
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HomeworkRotations HW
Worksheet