Grade 8 Math: Translations
This worksheet focuses on understanding and performing translations of geometric figures on a coordinate plane, aligned with Grade 8 Common Core Math standards.
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Grade 8 Math: Translations
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Read each question carefully and follow the instructions to perform translations of geometric figures. Show all your work for short answer questions.
1. Which of the following describes a translation?
Flipping a figure over a line.
Turning a figure around a point.
Sliding a figure without changing its orientation or size.
Resizing a figure.
2. If 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. Graph the triangle with vertices A(1,1), B(4,1), and C(1,5). Then, translate the triangle 2 units left and 3 units up. Label the new vertices A', B', and C'.
4. A translation is a transformation that slides a figure without changing its or .
5. The original figure before a transformation is called the , and the figure after the transformation is called the .
6. A square has vertices at P(-2, -3), Q(1, -3), R(1, 0), and S(-2, 0). If the square is translated by the rule (x, y) → (x + 5, y - 1), what are the coordinates of the new vertices P', Q', R', and S'?
7. A translation changes the size of the original figure.
True
False
8. Translating a figure 4 units left and then 4 units right results in the figure returning to its original position.
True
False