Grade 11 Math: Geometric Translations
This worksheet focuses on understanding and performing translations of geometric figures on a coordinate plane, including vector notation and algebraic rules.
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Grade 11 Math: Geometric Translations
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Read each question carefully and follow the instructions to determine the translations of the given geometric figures. Show all your work for full credit.
1. Define a geometric translation in your own words, and explain how it differs from a rotation or a reflection.
2. A point (x, y) is translated by the vector ⟨-3, 5⟩. What are the coordinates of the new point?
(x+3, y+5)
(x-3, y-5)
(x-3, y+5)
(x+3, y-5)
3. If a triangle with vertices A(1, 2), B(4, 2), and C(3, 5) is translated by the rule (x, y) → (x + 2, y - 3), the new vertices will be A'( ), B'( ), and C'( ).
4. Graph the triangle with vertices D(0,0), E(4,0), and F(2,3). Then, translate the triangle by the vector ⟨-1, -2⟩ and label the new vertices D', E', F'.
5. A square ABCD is translated to A'B'C'D'. If A is at (2, -1) and A' is at (-3, 4), write the translation vector in component form.
6. A translation changes the size and orientation of a geometric figure.
True
False
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