Question

a local playground has a sandbox in the shape of a rectangle. does the sandbox have line symmetry, point symmetry, both, or neither?

Explanation:

Step1: Recall Line Symmetry

A figure has line symmetry if there's a line (axis) dividing it into two mirror - image halves. For a rectangle, there are two lines of symmetry: one vertical (through the mid - points of the opposite vertical sides) and one horizontal (through the mid - points of the opposite horizontal sides). Also, the two diagonals are not lines of symmetry for a non - square rectangle, but the vertical and horizontal mid - lines are.

Step2: Recall Point Symmetry

A figure has point symmetry if rotating it 180 degrees around a central point maps the figure onto itself. For a rectangle, the center (the intersection point of the diagonals) is the point of symmetry. If we rotate the rectangle 180 degrees around its center, each vertex will map to the opposite vertex, and the sides will map to the opposite sides.

Step3: Combine the Results

Since a rectangle has both line symmetry (two lines of symmetry) and point symmetry (about its center), the sandbox (in the shape of a rectangle) has both line symmetry and point symmetry.

Answer:

both