Question

review what types of symmetry does the flag have? step 1 look for lines of symmetry. lines of symmetry pass through the center and divide the flag into two equal halves. the flag has lines of symmetry. step 2 look for rotational symmetry. a center of rotational symmetry will be in the center of the flag. identify the smallest angle by which you can turn the figure around the center and have it look the same as when you started. the smallest angle is °. step 3 look for point symmetry. point symmetry is 180° rotational symmetry. since 180° is a multiple of 90°, the angle of symmetry, the flag also has point symmetry. the flag has four lines of symmetry, 90° rotational symmetry, and point symmetry.

Explanation:

Step1: Identify lines of symmetry

The flag of Switzerland has 4 lines of symmetry - two vertical and two horizontal passing through the center of the cross and the square - shaped flag.

Step2: Identify rotational - symmetry angle

For rotational symmetry, the smallest angle by which we can turn the flag around its center and have it look the same is 90°. Because a full - turn is 360° and the flag has 4 - fold rotational symmetry ($360\div4 = 90$).

Step3: Check point symmetry

Point symmetry is 180° rotational symmetry. Since 180° is a multiple of 90° (the angle of rotational symmetry of the flag), the flag has point symmetry.

Answer:

The flag has 4 lines of symmetry, the smallest angle of rotational symmetry is 90°, and it has point symmetry.