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MathematicsGrade 8en

🔄 Transformations & Tessellations

Master the core geometry transformations and tessellations from the Ontario Grade 8 curriculum. Learn to identify translations, reflections, and rotations on a coordinate plane, understand dilations and scaling, recognize congruent and similar figures, and explore regular tessellations. This quiz builds foundational skills in geometric reasoning and spatial visualization. **What you'll learn:** - Perform and describe translations, reflections, and rotations using coordinates - Understand dilations and the properties of similar figures - Identify congruent and similar shapes and their characteristics - Create and analyze tessellations in the coordinate plane - Apply symmetry properties to geometric transformations

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Questions in this quiz

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  1. Question 1

    A triangle has vertices at A(1,2)A(1, 2), B(3,4)B(3, 4), and C(2,1)C(2, 1). After a translation 4 units right and 3 units down, where is vertex A′A'?

  2. Question 2

    A point P(3,5)P(3, 5) is reflected across the yy-axis. What are the coordinates of the reflected point P′P'?

  3. Question 3

    A 90° clockwise rotation of point (2,3)(2, 3) around the origin gives (3,−2)(3, -2).

  4. Question 4

    Which transformation preserves both the shape and size of a figure?

  5. Question 5

    A rectangle is dilated by a scale factor of 2. If the original rectangle has a width of 4 cm and height of 6 cm, what is the area of the dilated rectangle?

  6. Question 6

    Two figures are congruent. Which statement is always true?

  7. Question 7

    Which of the following regular polygons can tile a plane by itself (form a regular tessellation)?

  8. Question 8

    A figure has line symmetry if it can be folded along a line so that both halves match perfectly.

  9. Question 9

    A triangle with vertices at (0,0)(0, 0), (4,0)(4, 0), and (2,3)(2, 3) is reflected across the line y=xy = x. Which point does (4,0)(4, 0) map to?

  10. Question 10

    A quadrilateral is rotated 180° around the origin. If one vertex moves from (3,4)(3, 4) to a new location, where does it end up?

  11. Question 11

    Two similar triangles have a scale factor of 3:1 (larger to smaller). If the larger triangle has an area of 54 cm², what is the area of the smaller triangle?

  12. Question 12

    A dilation with scale factor 0.5 creates a figure that is similar to the original figure.

  13. Question 13

    Which statement best describes the difference between congruent and similar figures?

  14. Question 14

    A point Q(−2,−5)Q(-2, -5) is translated by the vector ⟨3,2⟩\langle 3, 2 \rangle. What is the new location of Q′Q'?

  15. Question 15

    How many lines of symmetry does a regular hexagon have?

  16. Question 16

    When a figure undergoes a translation, rotation, or reflection, it always remains congruent to the original figure.