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Transfor mations Reflections Rotations Translation Glide Reflections Back to menu Misc

100 Explain what an isometry is Every pre-image is congruent to the image. Click here for answer back

500 Explain how to do a 270 degree rotation counterclockwise around the origin. back Click here for answer 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 back Click here for answer True

200 A regular hexagon has rotational symmetry and always has line symmetry. back Click here for answer True

-100 Write the coordinate notation for a translation that moves horizontally 5 units to the right and vertically down 3 units. back Click here for answer (x,y)– (x+5,y-3)

200 Which type of triangle has only one symmetry line: scalene, isosceles, equilateral? back Click here for answer 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. back Click here for answer A’=(3,2) B’=(1,-2) C’=(6,-4)

Steal 200 back Click here for answer

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) back Click here for answer 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? back Click here for answer (y,x)

300 In general, every point (x,y) is mapped onto what point when it’s reflected over the x-axis? back Click here for answer (x, -y)

Lose 200 back Click here for answer

500 Using the vector. Find the pre- image if A’(2,8). back Click here for answer (4,0)

-200 Point B (3,2) is translated by the vector and then reflected over the y-axis. What is the final image? back Click here for answer (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:______________ back Click here for answer Translation: 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? back Click here for answer

200 If a figure is rotated 176 degrees, what is the acute angle between the intersecting line? back Click here for answer 88 degrees

-300 If the acute angle between two lines is 38 degrees, what is the degree of the rotation? back Click here for answer 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 back Click here for answer A’’(-12,3) B’’(-8,1) C’’(-2,-8)

Steal 400 back Click here for answer

-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. back Click here for answer A’(-2,4) B’(-4,-1). Take the negative of each coordinate.

200 The composite of two or more isometries is always…. back Click here for answer An isometry

200 T/F: A parallelogram has rotational symmetry and may have line symmetry. back Click here for answer True

-100 When I say “write the component form” what type of symbols should be around your numbers? back Click here for answer

600 T/F: A triangle always has a symmetry line back Click here for answer False

500 (x,y) (x + 4, y + 6). The pre-image of A’ is A(-2,4). What is A’? back Click here for answer (2,10)

200 How do you know if a figure has rotational symmetry? back Click here for answer 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 back Click here for answer The line you draw where when reflected, you will see the exact same picture.