Chapter 8.5, Problem 45E

a. Rotate rectangle ABCD, shown below, 90° about point P. Label the rotated rectangle A'B'C'D'.

b. Other than vertex labels, is the position of rectangle A'B'C'D' identical to the position of rectangle ABCD?

c. Does rectangle ABCD have 90° rotational symmetry about point P?

d. Now rotate the rectangle in the original position, rectangle ABCD, 180° about point P. Label the rotated rectangle A"B"C"D".

e. Other than vertex labels, is the position of rectangle identical to the position of rectangle ABCD?

f. Does rectangle ABCD have 180° rotational symmetry about point P?