michaelblake1989
michaelblake1989 1d ago โ€ข 0 views

Test Questions on Properties and Performing Reflections (Grade 8)

Hey there! ๐Ÿ‘‹ Getting ready for your Grade 8 math test on properties and reflections? No sweat! This quick study guide and practice quiz will help you nail it. Let's jump right in and make sure you're totally prepared! ๐Ÿ’ฏ
๐Ÿงฎ Mathematics

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michael817 Dec 27, 2025

๐Ÿ“š Quick Study Guide

  • ๐Ÿ“ Properties of Reflections: Reflections create a mirror image across a line (the line of reflection). The image is congruent to the original.
  • ๐Ÿ“ Line of Reflection: The line of reflection is the perpendicular bisector of the segment joining a point and its image.
  • ๐Ÿ“ Coordinates & Reflections:
    • Reflecting over the x-axis: $(x, y) \rightarrow (x, -y)$
    • Reflecting over the y-axis: $(x, y) \rightarrow (-x, y)$
    • Reflecting over the line $y = x$: $(x, y) \rightarrow (y, x)$
    • Reflecting over the line $y = -x$: $(x, y) \rightarrow (-y, -x)$
  • โž• Congruence: Reflections preserve size and shape, meaning the pre-image and image are congruent.

Practice Quiz

  1. What happens to the y-coordinate when a point is reflected over the x-axis?
    1. It stays the same.
    2. It becomes its opposite.
    3. It becomes x.
    4. It becomes 0.
  2. A triangle has vertices A(1, 2), B(3, 4), and C(5, 2). If it is reflected over the y-axis, what are the coordinates of A'?
    1. (1, -2)
    2. (-1, 2)
    3. (-1, -2)
    4. (2, -1)
  3. If a point (4, -3) is reflected over the line y = x, what are the coordinates of its image?
    1. (-3, 4)
    2. (-4, 3)
    3. (3, -4)
    4. (-3, -4)
  4. Which transformation preserves the size and shape of a figure?
    1. Dilation
    2. Reflection
    3. Reduction
    4. Enlargement
  5. The point (2, 5) is reflected over the line y = -x. What are the coordinates of the reflected point?
    1. (5, 2)
    2. (-5, -2)
    3. (-2, -5)
    4. (-2, 5)
  6. What is the line of reflection if point P(3,7) becomes P'(3,-7)?
    1. x-axis
    2. y-axis
    3. y = x
    4. y = -x
  7. A square with vertices at (1,1), (1,4), (4,4), and (4,1) is reflected over the line x = 5. What are the coordinates of the reflected image of the point (1,1)?
    1. (9,1)
    2. (1,9)
    3. (4,4)
    4. (4,1)
Click to see Answers
  1. B
  2. B
  3. A
  4. B
  5. B
  6. A
  7. A

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