Three questions! Need help.1. Which statement is true for K?A. The letter has reflection symmetry onlyB. The letter has rotation symmetry only.C. The letter has neither reflection nor rotation symmetry.D. The letter has both reflection and rotation symmetry.2. Which statement is true for S?A. The letter has reflection symmetry onlyB. The letter has rotation symmetry only.C. The letter has neither reflection nor rotation symmetry.D. The letter has both reflection and rotation symmetry.3. Which statement is true for H?A. The letter has reflection symmetry onlyB. The letter has rotation symmetry only.C. The letter has neither reflection nor rotation symmetry.D. The letter has both reflection and rotation symmetry.
Accepted Solution
A:
Answers: 1. Choice A) Reflection symmetry only 2. Choice B) Rotation symmetry only 3. Choice D) Both types of symmetry
The letter K can be reflected over a horizontal line through its center. The upper half will fold over to line up with the lower half. So this shows we have reflection symmetry. We cannot rotate K some angle less than 360 degrees to have the letter line up with itself. So it doesn't have rotation symmetry.
The letter S can be rotated 180 degrees to have it line up with itself. Though it can't be reflected over any line to have it line up one half with the other. So that's why we have rotational symmetry only.
The letter H has both reflection and rotation symmetry. We can reflect H two ways. One line is vertical through the center. The other line is horizontal through the center. We can also rotate H 180 degrees to have it line up with its original image.