Question

circle a is the result of translating circle a by 2 units to the right and 5 units down. select all of the correct statements about the unchanged properties of circle a and circle a. choose all answers that apply: a points a and a have the same coordinates. b circle a and circle a have the same area. c the radii of circle a and circle a have the same lengths. d none of the above

Explanation:

Translation is a rigid - motion transformation. In a translation, the size and shape of a figure remain unchanged. For a circle, its size is determined by its radius. Since the radius is unchanged during translation, the area (which is calculated by $A = \pi r^{2}$) is also unchanged. The center of the circle (points representing the circle) will have different coordinates after translation.

Answer:

B. Circle $A$ and circle $A'$ have the same area.
C. The radii of circle $A$ and circle $A'$ have the same lengths.