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Geometric Transformations and Symmetry Activities

Practice translations, reflections, rotations, and symmetry in geometry with interactive notebook tasks and exercises. Explore tessellations and symmetry properties of figures. Enhance spatial reasoning and mathematical skills.

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Geometric Transformations and Symmetry Activities

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  1. Inbox Task • Page 474 #1-13 • On pg. 168 in Interactive Notebook

  2. Classwork • Page 498 #1-15 • On pg. 169 in Interactive Notbook

  3. Translate the figure with the given vertices along the given vector. G(8, 2), H(–4, 5), I(3,–1); <–2, 0>

  4. Translate the figure with the given vertices along the given vector. S(0, –7), T(–4, 4), U(–5, 2), V(8, 1); <–4, 5>

  5. Find the coordinates of the image of F(2, 7) after the translation (x, y)  (x + 5, y – 6).

  6. Reflect the figure with the given vertices across the given line. A(2, 3), B(–1, 5), C(4,–1); y = x

  7. Reflect the figure with the given vertices across the given line. U(–8, 2), V(–3, –1), W(3, 3); y-axis

  8. Reflect the figure with the given vertices across the given line. E(–3, –2), F(6, –4), G(–2, 1); x-axis

  9. Rotate ∆RST with vertices R(–1, 4), S(2, 1), and T(3, –3) about the origin by the given angle. 90°

  10. Rotate ∆RST with vertices R(–1, 4), S(2, 1), and T(3, –3) about the origin by the given angle. 180°

  11. PQR has vertices P(5, –2), Q(1, –4), and R(–3, 3). Translate ∆PQR along the vector <–2, 1> and then reflect it across the x-axis.

  12. PQR has vertices P(5, –2), Q(1, –4), and P(–3, 3). Reflect ∆PQR across the line y = x and then rotate it 90° about the origin.

  13. Describe the symmetry of each figure. Draw any lines of symmetry. Give the angle and the order of any rotational symmetry.

  14. Tell whether each figure has plane symmetry, symmetry about an axis, or neither.

  15. Copy the given figure and use it to create a tessellation.

  16. Classify the tessellation as regular, semiregular, or neither.

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