Unit 3 Practice Quiz: Symmetry & Transformations
1. How many lines of symmetry does a regular hexagon have?
2. Which of the following letters has point symmetry?
3. What are the coordinates of the point \((3, -5)\) after a reflection across the x-axis?
4. What are the coordinates of the point \((4, 2)\) after a 90° counter-clockwise rotation about the origin?
5. A translation is defined by the rule \( (x, y) \rightarrow (x-3, y+4) \). What is the image of the point \((5, 1)\)?
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'?
7. Which transformation is represented by the rule \( (x, y) \rightarrow (x+5, y-2) \)?
8. The point \((-6, 1)\) is rotated 180° about the origin. What is the coordinate of the new point?
9. The point \((7, 8)\) is reflected across the y-axis and then translated 2 units down. What are the final coordinates?
10. What are the coordinates of the point \((-2, 6)\) after a reflection across the y-axis?