Select all of the transformations that preserve distance and angle measure Dilation with center at the orign and scale factor 0.5 reflection across the line y=-x+2 translation 2 units up and 3 units to the left rotation 30 counterclockwise about the origin
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Select all of the transformations that preserve distance and
Dilation with center at the orign and scale factor 0.5
reflection across the line y=-x+2
translation 2 units up and 3 units to the left
rotation 30 counterclockwise about the origin
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- What is the sequence of similarity transformations that maps △WXY to △BCD? First transformation: [Select] (a. Reflection over the x-axis) (b. Rotation about the origin 90°) (c. Reflection over the y-axis) Second transformation: [Select] (a. Translation right 4 units) (b. Dilation factor 4) (c. Dilation factor 2)a. Transform figure F using the rule (x,y) —> (-x, y-8). b. Describe the transformation precisely. c. Does the transformation result in a figure that is congruent to the original, similar to the original, both, or neither?A square is plotted on a coordinate plane. Henry claims that any transformation on the square will preserve the length of its sides.Which of the following transformations could be used to show that Henry's claim is incorrect? Select all that apply. translation of 55 units to the right horizontal stretch by a factor of 1313 dilation by a factor of 22 through the origin rotation of 45°45° clockwise about the square's center a reflection over the x-axis
- Find a sequence of similarity transformations that map one figure to the other. a) A translation followed by dilation b) A rotation followed by dilation c) A reflection followed by dilation d) A reflection followed by rotationUsing a series of transformations, prove that W and W' are similar figures. Be specific when listing your transformations.A square is plotted on a coordinate plane. Henry claims that any transformation on the square will preserve the length of its sides.Which of the following transformations could be used to show that Henry's claim is incorrect? Select all that apply.
- Select all of the linear transformations from R³ to R³ that are invertible. There may be more than one correct answer A. Rotation about the z-axis B. Trivial transformation (.e. T(v) = 0 for all C. Projection onto the yz-plane D. Dilation by a factor of 8 E. Identity transformation (Le T(v) = v for all ) F. Reflection in the originA. Plot the circles x2+y2=4 and x2+y2=1 on the same coordinate plane. B. Find the image of any point on x2+y2=4 under the transformation (x,y)→(12x,12y). The point (2,0) will go to the ordered pair ( , ) C. What do you notice about x2+y2=4 and x2+y2=1 ? The small circle is a of the larger one using the origin as a center and a scale factor ofWhich transformation will NOT carry the rectangle onto itself a) Rotation 180 degrees about the origin b) Rotation 180 degrees about (-1, 0) c ) Reflection over the x-axis d) Reflection over x = 1
- A similarity transformation is a geometric transformation that uniformly multiplies distances, in the following sense: For some positive number m, and any two points A and B and their respective images A’ and B’, the distance from A’ to B’ is m times the distance from A to B. You have recently shown that any dilation T (x, y) = (mx, my) is a similarity transformation. Is it true that the transformation T (x, y) = (3x, 2y) is a similarity transformation? Explain.Which sequences of transformations map rectangle A to rectangle B? choose all that aplly A- A rotation 90°\degree° about the origin followed by a translation. B- A dilation centered at the origin followed by a translation. C- A reflection in the x-axis followed by a dilation and a translation. D- A reflection in the y-axis followed by a translation and a rotation. E-A rotation 180°\degree° about the origin followed by a dilation and translation.A sequence of transfer rmations is described below. A dilation centered at point C with a scale factor of 1/3. A rotation centered at point N (-1,1).Select the statement that describes the resulting image after the given transformations.