Question 19.56

26. Determine whether each of the following statements is always or sometimes true. Drawing some sketches may be helpful.

  1. The image of a pair of perpendicular lines under a line reflection is a pair of perpendicular lines.
  2. The image of a square under a line reflection is a square.
  3. Label the vertices of a square , , , and in a clockwise direction. Then their images , and under a line reflection also follow a clockwise direction.
  4. The length of the perimeter of a geometric figure is equal to the length of the perimeter of its image under a line reflection.
  5. The image of a vertical line under a line reflection is always a vertical line.