Question

describing point symmetry
reset
rotation: 0°
which statement is true about the regular octagon?
the regular octagon will map point a onto point e when rotated about point p 180°.
the regular octagon does not have point symmetry.
a is the point of symmetry.
the regular octagon will map point c onto point e when rotated about point p 180°.

Explanation:

Step1: Recall point - symmetry property of regular octagon

A regular octagon has point - symmetry about its center. When rotated 180° about its center, opposite vertices map onto each other.

Step2: Analyze each option

• Option 1: In a regular octagon, when rotated 180° about the center point P, point A and point E are opposite vertices and will map onto each other.
• Option 2: A regular octagon has point - symmetry about its center, so this is false.
• Option 3: Point A is a vertex, not the point of symmetry. The center (point P) is the point of symmetry, so this is false.
• Option 4: Point C and point E are not opposite vertices, so they will not map onto each other when rotated 180° about point P, so this is false.

Answer:

The regular octagon will map point A onto point E when rotated about point P 180°.