Geometry Unit 3 Practice Quiz

Name: _________________________
Date: __________________________

Unit 3 Practice Quiz: Symmetry & Transformations

1. How many lines of symmetry does a regular hexagon have?

  1. 3
  2. 6
  3. 12
  4. 0

2. Which of the following letters has point symmetry?

  1. A
  2. B
  3. C
  4. N

3. What are the coordinates of the point \((3, -5)\) after a reflection across the x-axis?

  1. \((-3, 5)\)
  2. \((3, 5)\)
  3. \((-3, -5)\)
  4. \((5, -3)\)

4. What are the coordinates of the point \((4, 2)\) after a 90° counter-clockwise rotation about the origin?

  1. \((2, -4)\)
  2. \((-4, -2)\)
  3. \((2, 4)\)
  4. \((-2, 4)\)

5. A translation is defined by the rule \( (x, y) \rightarrow (x-3, y+4) \). What is the image of the point \((5, 1)\)?

  1. \((8, 5)\)
  2. \((2, 5)\)
  3. \((2, -3)\)
  4. \((-2, 5)\)

6. A triangle with vertices at A(2,4), B(6,2), and C(4,8) is dilated by a scale factor of 0.5 centered at the origin. What are the coordinates of A'?

  1. \((4, 8)\)
  2. \((1, 2)\)
  3. \((2.5, 4.5)\)
  4. \((0, 0)\)

7. Which transformation is represented by the rule \( (x, y) \rightarrow (x+5, y-2) \)?

  1. Reflection
  2. Rotation
  3. Translation
  4. Dilation

8. The point \((-6, 1)\) is rotated 180° about the origin. What is the coordinate of the new point?

  1. \((6, -1)\)
  2. \((6, 1)\)
  3. \((1, -6)\)
  4. \((-1, 6)\)

9. The point \((7, 8)\) is reflected across the y-axis and then translated 2 units down. What are the final coordinates?

  1. \((-7, 6)\)
  2. \((7, 6)\)
  3. \((5, 8)\)
  4. \((-7, 10)\)

10. What are the coordinates of the point \((-2, 6)\) after a reflection across the y-axis?

  1. \((2, 6)\)
  2. \((-2, -6)\)
  3. \((6, -2)\)
  4. \((2, -6)\)