Geometry Unit 3 Quiz

Name: _________________________
Date: __________________________

Unit 3 Quiz: Symmetry & Transformations

1. How many lines of symmetry does a square have?

  1. 1
  2. 2
  3. 4
  4. 8

2. Which of the following figures has point symmetry?

  1. An equilateral triangle
  2. The letter 'C'
  3. A circle
  4. A trapezoid

3. What are the coordinates of the point \((-2, 4)\) after a reflection across the y-axis?

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

4. What are the coordinates of the point \((5, -3)\) after a 180° rotation about the origin?

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

5. A translation moves a point 4 units to the left and 6 units up. What is the image of the point \((1, 1)\)?

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

6. Point P(3, 5) is dilated by a scale factor of 3, centered at the origin. What are the coordinates of P'?

  1. \((6, 8)\)
  2. \((1, 2)\)
  3. \((9, 15)\)
  4. \((0, 0)\)

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

  1. Reflection across the x-axis
  2. Reflection across the y-axis
  3. Reflection across the line y = x
  4. 180° Rotation

8. The point \((4, 1)\) is rotated 270° counter-clockwise about the origin. What is the coordinate of the new point?

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

9. The point \((2, 3)\) is translated by the rule \( (x, y) \rightarrow (x+3, y-1) \) and then reflected across the x-axis. What are the final coordinates?

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

10. What are the coordinates of the point \((4, -7)\) after a reflection across the x-axis?

  1. \((-4, -7)\)
  2. \((4, 7)\)
  3. \((-4, 7)\)
  4. \((7, 4)\)