Grade 10 Math: Geometric Translations
This worksheet focuses on understanding and performing geometric translations on the coordinate plane, including identifying translation rules and applying them to various shapes.
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Grade 10 Math: Geometric Translations
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Read each question carefully and follow the instructions. Show all your work where necessary.
1. Which of the following describes a translation?
Flipping a shape over a line.
Turning a shape around a point.
Sliding a shape from one position to another without rotating or flipping.
Resizing a shape.
2. A point (x, y) is translated by the rule (x+3, y-2). What are the coordinates of the new point if the original point was (1, 5)?
(4, 3)
(-2, 7)
(3, -2)
(1, 5)
3. A translation is a transformation that moves every point of a figure or a space by the same distance in a given .
4. If a triangle has vertices at A(1,1), B(3,1), and C(2,3) and is translated 2 units right and 1 unit up, the new coordinates of A' would be .
5. Describe the translation that maps triangle ABC to triangle A'B'C' if A=(1,2), B=(3,2), C=(2,4) and A'=(4,0), B'=(6,0), C'=(5,2).
6. Plot the points A(2, 3), B(5, 3), and C(4, 5) on the coordinate plane. Then, translate the triangle ABC by the rule (x-3, y-4) and label the new vertices A', B', C'.
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