pena.michael15
pena.michael15 23h ago โ€ข 0 views

Test Your Knowledge: Understanding Reflections 8th Grade Math Assessment

Hey there! ๐Ÿ‘‹ Reflections can be tricky, but don't worry! I've got a quick guide and a practice quiz to help you ace your 8th-grade math assessment. Let's get started! ๐Ÿ’ฏ
๐Ÿงฎ Mathematics

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โœ… Best Answer

๐Ÿ“š Quick Study Guide

    ๐Ÿ“
  • Reflection: A transformation that flips a figure over a line, called the line of reflection.
  • ๐Ÿ“ˆ
  • Line of Reflection: The line across which a figure is reflected. Common lines of reflection are the x-axis ($y = 0$) and the y-axis ($x = 0$).
  • โ†”๏ธ
  • Reflection over the x-axis: The rule is $(x, y) \rightarrow (x, -y)$. The x-coordinate stays the same, and the y-coordinate changes sign.
  • โ†•๏ธ
  • Reflection over the y-axis: The rule is $(x, y) \rightarrow (-x, y)$. The y-coordinate stays the same, and the x-coordinate changes sign.
  • ๐Ÿ”„
  • Important properties: Reflections preserve distance and angle measure. The image is congruent to the pre-image.

Practice Quiz

  1. What is the image of point (3, -2) after a reflection over the x-axis?
    1. (3, 2)
    2. (-3, -2)
    3. (-3, 2)
    4. (2, -3)
  2. What is the image of point (-1, 4) after a reflection over the y-axis?
    1. (1, 4)
    2. (-1, -4)
    3. (1, -4)
    4. (-1, 4)
  3. If a point (a, b) is reflected over the x-axis, which of the following is the correct image?
    1. (-a, b)
    2. (a, -b)
    3. (-a, -b)
    4. (b, a)
  4. A triangle has vertices A(0, 0), B(2, 0), and C(1, 3). What are the coordinates of vertex C after a reflection over the y-axis?
    1. (-1, -3)
    2. (1, -3)
    3. (-1, 3)
    4. (1, 3)
  5. Which transformation represents a reflection over the line y = 0?
    1. (x, y) โ†’ (-x, y)
    2. (x, y) โ†’ (x, -y)
    3. (x, y) โ†’ (-x, -y)
    4. (x, y) โ†’ (y, x)
  6. The point (5, -1) is reflected over the y-axis. What quadrant does the image lie in?
    1. Quadrant I
    2. Quadrant II
    3. Quadrant III
    4. Quadrant IV
  7. A square has vertices at (1,1), (1,3), (3,3), and (3,1). If it is reflected over the x-axis, what is the new coordinate of the vertex that was originally at (1,3)?
    1. (1,-3)
    2. (-1,3)
    3. (-1,-3)
    4. (3,-1)
Click to see Answers
  1. A
  2. A
  3. B
  4. C
  5. B
  6. C
  7. A

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