Post on 31-Dec-2015
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Transformations
Reflections Rotations TranslationGlide
Reflections
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Misc Misc
100
Explain what an isometry is
Every pre-image is congruent to the image.
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500
Explain how to do a 270 degree rotation counterclockwise around the origin.
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Realize that 270 ccw is equal to 90 cw, so switch (x,y) to (y,x) and then take the original x
and make it negative which is (y, -x)
200
T/F: A rectangle has rotational symmetry and always has a symmetry line
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True
200
A regular hexagon has rotational symmetry and always has line symmetry.
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True
-100
Write the coordinate notation for a translation that moves horizontally 5 units to the right and vertically down 3 units.
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(x,y)– (x+5,y-3)
200
Which type of triangle has only one symmetry line: scalene, isosceles, equilateral?
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Isosceles
-100
A = (3,2); B = (5, -2); C=(0, -4). Draw triangle ABC and then the image after a reflection over the line x = 3.
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A’=(3,2) B’=(1,-2)
C’=(6,-4)
Steal 200
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400
Draw the pre-image and image after ABCD is rotated 90 counterclockwise about the origin. A = (2,4) B = (-1,8) C = (-4,4) D = (-2,0)
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A’=(-4,2); B’=(-8,-1);
C’=(-4,-4); D=(0, -2)
-200
In general, every point (x,y) is mapped onto what point when it’s reflected over the line y = x?
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(y,x)
300
In general, every point (x,y) is mapped onto what point when it’s reflected over the x-axis?
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(x, -y)
Lose 200
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1 4 7 3 41 ,3 ,2 ,3 ,3
5 5 10 10 5
500
Using the vector < -2, 8 >. Find the pre-image if A’(2,8).
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(4,0)
-200
Point B (3,2) is translated by the vector <-6, 2 > and then reflected over the y-axis. What is the final image?
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(3,4)
200
Draw the following picture on graph paper. A(-6,2) B(-8,-1) C(-10,3). A’(-3,-2) B’(-5,-5)
C’(-7,-1). A’’(3,-2) B’’(5,-5) C’’(7,-1). Describe the composition.
Translation:______________
Reflection:______________
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Translation: < 3,-4>
Reflection: y-axis
300
A=(2,1); B=(-2,4); C=(1,-8); A’=(10,-2); B’=(6,1); C’=(9,-11)
What is the vector describing the translation?
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< 8, -3 >
200
If a figure is rotated 176 degrees, what is the acute angle between the intersecting line?
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88 degrees
-300
If the acute angle between two lines is 38 degrees, what is the degree of the rotation?
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76 degrees
400
A=(8,2); B=(4,6); C=(-2,-3). Find the image of ABC after a glide reflection:
translation: (x,y) (x, y-5);
reflection: x = -2
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A’’(-12,3) B’’(-8,1)
C’’(-2,-8)
Steal 400
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-400
Take the pre-image points A(2,-4) & B(4,1) and rotate them 180 degrees about the origin. What are the image points?Then explain how you got your answer.
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A’(-2,4) B’(-4,-1). Take the negative of each coordinate.
200
The composite of two or more isometries is always….
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An isometry
200
T/F: A parallelogram has rotational symmetry and may have line symmetry.
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True
-100
When I say “write the component form” what type of symbols should be around your numbers?
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< >
600
T/F: A triangle always has a symmetry line
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False
500
(x,y) (x + 4, y + 6). The pre-image of A’ is A(-2,4). What is A’?
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(2,10)
200
How do you know if a figure has rotational symmetry?
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If you can rotate it 180 degrees or less and the
image falls on top of the pre-image.
-300
Explain what a symmetry line is
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The line you draw where when reflected, you will see
the exact same picture.