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Laabri

Transformations Practice

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Last updated over 6 years ago
30 Nsɛmmisa
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Today, you will practice using the transformations we've been studying. Hopefully, this will help you reach the learning targets we've been working on in class:

  • I can understand the difference between a translation, reflection, rotation, and dilation.

  • I can graph and interpret algebraic rules for translations.

  • I can graph and interpret algebraic rules for reflections.

  • I can graph and interpret algebraic rules for rotations.

  • I can understand how to perform sequences of transformations to map one figure onto another.

  • I can map a figure onto itself by using line and rotational symmetry.

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1.

A change in position, size, or shape of a figure on a coordinate plane.

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2.

A type of transformation that results from the reduction or enlargement of an image.

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3.

A type of transformation involving a slide of the graphed figure.

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4.

A type of transformation involving a flip of the graphed figure.

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5.

A type of transformation in which a figure is turned about a fixed point a certain number of degrees.

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6.

A figure is translated 3 units to the right and down 2 units. Select the algebraic rule that shows how the translation affects the figure's movement.

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7.

Which of the graphs below shows the translation described by the following rule?

(x, y) → (x+4, y+4)

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8.

Reflect ΔABC over the y-axis.

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9.

ΔABC has vertices A(-2, 4), B(1,5), and C(2, 4). After a transformation is applied to the triangle, its new vertices are A’(-2,-4), B’(1,-5), and C(2,-4). Which of the following transformations was applied to the triangle?

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10.

Quadrilateral KLMN has vertices K (3,-2), L (6,-3), M (8,-6) and N(5, -5). The quadrilateral is rotated 90° clockwise about the origin. What are the coordinates of the vertex M'?

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11.

Rectangle WXYZ has vertices W(-2,-3), X(-2, 1), Y(4,1), and Z(4, -3). If the rectangle is rotated clockwise 270°, what will be the new location of point Z?

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12.

The graph shows square PQRS and square P'QʼR'S'.

Which transformation rule creates square P'Q’R'S' from square PQRS?

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13.

Which transformation does NOT produce congruent figures?

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14.

Rectangle ABCD has vertices A(0,-2), B(0, 1), C(4, 1), and D(4, -2). After a transformation is applied to the rectangle, its new vertices are A'(2, 0), B'(-1,0), C'(-1, 4), and D'(2, 4). Which of the following transformations was applied to the rectangle?

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15.

What does the following rule describe?

(x, y) → (x-2, y+5)

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16.

Finish the rule for a transformation that translates 2 units up and 3 units left.

(x,y) →

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17.

Which of the following shows the rule for the translation shown?

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18.

Reflect ΔMNP in the line y = -1.

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19.

Reflect ΔMNP in the line x = 1.

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20.

Which angles of rotation will carry the regular pentagon onto itself? Check all that apply.

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21.

As shown in the graph below, the quadrilateral is a rectangle.

Which transformation would not map the rectangle onto itself?

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22.

What is the minimum number of degrees that a regular decagon (10-sides) must be rotated to map onto itself?

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23.

Use the line tool to draw all of the lines of symmetry on the shape.

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24.

Select all the degrees of rotation that will carry an equilateral triangle onto itself.

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25.

Determine K' using the translation (x, y) → (x – 3, y + 1) .

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26.

A regular pentagon is centered about the origin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?

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27.

Which transformation is represented below?

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28.

Identify S' after a reflection over the x-axis.

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29.

Graph the image after a reflection over the y-axis.

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30.

Which sequence of transformations is shown below?