iCoachMath.com: Examples on Translations and Vectors - Geometric Transformations - (AL)
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Solved Examples

Curriculum: Alabama Course of Study   Click to change Curriculum

Topic: Geometric Transformations  Click to change Topic

Lesson: 13: Translations and Vectors  Click to change Lesson

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eee Identify the incorrect statement.
I. A translation is a transformation that moves points the same distance and in the same direction
II. A translation is an isometry
III. A translation changes the shape and the size of the figure
IV. A translation does not change orientation
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eee Describe the translation 6 units to the left and 4 units up using a vector.
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eee The vector P(- 5, - 3) is translated 4 units right and 8 units down. What are the coordinates of the end point? eee View Solution
eee Describe in words the distance and direction of the translation represented by the vector <7, - 5>. eee View Solution
eee Find the image of A after a translation of <- 2, - 6>. eee View Solution
eee On what does a vector quantity depend? eee View Solution
eee What single transformation is equivalent to the following translation:
<5, 3> followed by <- 3, 4> followed by <7, 2>? eee
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eee Use matrices to find the image of ABC under translation <8, - 2>.
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eee Find the image of the polygon ABCD under the translation of <-1, -7> followed by <-5, 2> using matrix addition. eee View Solution
eee The translated image ΔXYZ is shown below. If the pre-image was translated (1, 5). Find the pre-image.
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eee What translation describes PQRS to P'Q'R'S'? eee View Solution
eee Linda is searching for her friends house. From hotel, she walked 3 blocks east and 9 blocks north. Then she walked 5 blocks west and 2 blocks north to find her friends house. How many blocks from her hotel is she now? Represent the translation in ordered pair notation. (North is represented in the positive direction of y-axis.)
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eee Locate the vertices of the image after a translation of <-7, 1> followed by a translation of <5 , - 5>. eee View Solution
eee A(- 2, 1), B(- 4, -1) and C(2, - 3) are the vertices of a triangle. Find the coordinates of the vertices of ΔA'B'C', the image of ΔABC under the translation <4, 2>.
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eee A group of army men started marching from point A. They marched 3 units toward North and turned to left and marched 5 units and then turned to right and marched 4 units. What is the shortest distance between starting point and the ending point? Write in matrix form.
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eee The figure M'N'O'P' is the image of MNOP. Describe the vector by using ordered pair notation.
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eee Which solid can be represented as a three dimensional picture using the figure and vector? eee View Solution
eee Find the single transformation that has the same effect as composition of translations. <4, 8> followed by <11, - 6> followed by <- 12, 3>
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eee The figure is in Quadrant I. Describe the minimum translation that will result the figure in Quadrant II.
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eee A(3,6), B(5, 5), C(4, 2) and D(2, 3) are the vertices of a parallelogram. The figure is translated so that the image of point C is the origin. Find the translation vector that describes the translation.
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eee Which solid can be represented as a three dimensional figure using the given figure and vector?
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eee The figure M'N'O'P' is the image of MNOP. Describe the translation vector by using ordered pair notation.
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eee Identify the pattern which is not created by translation.
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eee The figure M'N'O'P' is the image of MNOP. Describe the translation.
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eee The polygon P'Q'R'S' is the translated image of PQRS. Find the translation vector. eee View Solution
eee Express the translation of triangle ABC as the sum of a polygon matrix and a translation matrix.
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