Question

A square rotated about its center by 360º maps onto itself at different angles of rotation. You can reflect a square onto itself across different lines of reflection.

Answer 1

A square rotated about its center by 360º maps onto itself at: a) 1 B) 2 C) 3 D) 4 different angles of rotation. You can reflect a square onto itself across A) 2 B) 4 C) 8 D) 16 different lines of reflection.

try drawing a square at the exact center of a coordinate grid. then try rotating it through 360 degrees, taking note of how many times the square coincides with the original image

for example, if you take the square and rotate it by 90 degrees, it will look the same. continue until you reach 360 degrees.

for the second part of the question, simply find as many lines of symmetry that cut the square in two. as a major hint, you can split a square through the corners to get two equal triangles, or in half to get two equal rectangles