Question

how would you decide which flags show reflection symmetry? rotational symmetry? no symmetry? canada sweden jamaica saint kitts and nevis select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. a. to determine the type(s) of symmetry each flag has, start by examining the shape of each flag. notice that each flag is a non - square rectangle. since rectangles do not have any symmetries, none of the flags have any symmetries. b. to determine the type(s) of symmetry each flag has, start by examining the shape of each flag. notice that each flag is a non - square rectangle and rectangles have rotational symmetry for angle(s) measuring. rectangles do not have reflectional symmetry. to test a flag for rotational symmetry, check to see if rotating the flag about its center by any of the possible angles maps the flag onto itself (type a whole number. do not include the degree symbol in your answer. use a comma to separate answers as needed.) c. to determine the type(s) of symmetry each flag has, start by examining the shape of each flag. notice that each flag is a non - square rectangle and rectangles have line(s) of symmetry. rectangles also have rotational symmetry for angle(s) measuring. to test a flag for reflectional symmetry, check to see if reflecting the flag across any of the possible lines of symmetry

Explanation:

Step1: Recall Rectangle Symmetry

A non - square rectangle has 2 lines of reflection symmetry (vertical and horizontal through the center) and rotational symmetry of 180 degrees (since rotating it 180° about its center maps it onto itself). Option A is wrong because rectangles do have symmetries. Option B is wrong because rectangles do have reflectional symmetry.

Step2: Analyze Option C

Option C correctly states that non - square rectangles have 2 lines of reflection symmetry and rotational symmetry for 180 degrees. To test reflectional symmetry, we check if reflecting over the vertical/horizontal mid - lines (the lines of symmetry of the rectangle) maps the flag onto itself. For rotational symmetry, rotating 180° about the center of the rectangle (the center of the flag) should map the flag onto itself. So we fill in the blanks: the number of lines of reflection symmetry is 2, the rotational symmetry angle is 180.

Answer:

C. To determine the type(s) of symmetry each flag has, start by examining the shape of each flag. Notice that each flag is a non - square rectangle and rectangles have 2 line(s) of symmetry. Rectangles also have rotational symmetry for angle(s) measuring 180. To test a flag for reflectional symmetry, check to see if reflecting the flag across any of the possible lines of symmetry maps the flag onto itself.