Grade 9 Math: Geometric Translations
A worksheet covering geometric translations on the coordinate plane for Grade 9 students, including identifying translations, applying translation rules, and determining translation vectors.
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Geometric Translations Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following describes a translation?
Flipping a figure over a line.
Sliding a figure without changing its orientation.
Turning a figure around a fixed point.
Resizing a figure.
2. A point (x, y) is translated 3 units right and 2 units down. What are the new coordinates?
(x+3, y+2)
(x-3, y-2)
(x+3, y-2)
(x-3, y+2)
3. A translation is a transformation that moves every point of a figure or a space by the same in a given direction.
4. The vector that describes the translation from point A to point A' is called the vector.
5. Plot the triangle with vertices A(1,1), B(4,1), and C(1,5) on the coordinate plane below. Then, translate the triangle using the rule (x, y) → (x-5, y+3) and label the new vertices A', B', and C'.
6. Describe the translation that maps triangle DEF with vertices D(-3, -2), E(0, 4), F(2, 1) to triangle D'E'F' with vertices D'(1, -5), E'(4, 1), F'(6, -2).
7. A translation changes the size of the figure.
True
False
8. The image of a figure after a translation is congruent to the original figure.
True
False
Match the translation rule with its description.
9. (x, y) → (x+5, y)
a. Translate 3 units down
10. (x, y) → (x, y-3)
b. Translate 5 units right
11. (x, y) → (x-2, y+1)
c. Translate 2 units left and 1 unit up