Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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| 1. | The
point A(5, 2) is translated 7 units to the left and 5 units down. Determine the coordinates of
A¢, the point
after the translation.
a. | (-7, -5) | b. | (-1,
-3) | c. | (-2,
-3) | d. | (2,
3) | | |
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| 2. | Given
the triangle and its image after a translation, select the translation vector that describes the
translation.
{Graphic: DABC with
coordinates A(-4, 0), B(-3, 3) and C(0, -2) and DA¢B¢C¢ with coordinates A¢(1, -4), B¢(3,0) and C¢(6, -5) }
a. | (6,
-3) | b. | [6,
-3] | c. | [5,
-3] | d. | [-6,
3] | | |
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| 3. | Select the coordinates of the image of the point (-3, 2) after the translation [-4,
-3].
a. | (-1,
5) | b. | (-7,
-1) | c. | (1,
-1) | d. | (-7,
5) | | |
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| 4. | Select the coordinates of the image of the point (0, 5) after a translation [3,
-8].
a. | (3,
2) | b. | (8,
-8) | c. | (3,
-3) | d. | (-3,
13) | | |
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| 5. | The
coordinates of the vertices of DABC are A(2, -2), B(4, 0), and C(3, 5).
Select the
translation vector needed to move A to A¢(-3, 5).
a. | [-5,
7] | b. | [5,
3] | c. | [-1,
-3] | d. | [5,
7] | | |
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| 6. | For
the triangle stated in Question 5, determine the coordinates of B¢ after the same
translation.
a. | (9,
7) | b. | (9,
-7) | c. | (-1,
-7) | d. | (-1,
7) | | |
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| 7. | For
the triangle stated in Question 5, determine the coordinates of C¢ after the same
translation.
a. | (8,
12) | b. | (-2,
12) | c. | (2,
12) | d. | (-2,
2) | | |
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| 8. | DXYZ is
transformed to DX¢Y¢Z¢ by applying the same transformation two
times.
The coordinates of X are (-5, 4).
The vertices of
the final image are at X¢¢(1, 0), Y¢¢(5, -3) and Z¢¢(2, -7).
Determine the translation vector.
a. | [6,
4] | b. | [-4,
4] | c. | [3,
-2] | | |
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| 9. | Continuing with the problem stated in Question 8, determine the coordinates of vertex
Y.
a. | (-1,
1) | b. | (-1,
-3) | c. | (2,
-1) | | |
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| 10. | Continuing with the problem stated in Question 8, determine the coordinates of vertex
Z.
a. | (-1,
-5) | b. | (-4,
-3) | c. | (-2,
-7) | | |
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