Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

ying a figure with point symmetry which figure is symmetric with respec…

Question

ying a figure with point symmetry
which figure is symmetric with respect to a point?

Explanation:

Step1: Recall point - symmetry definition

A figure has point - symmetry if it looks the same after a 180 - degree rotation about a point.

Step2: Analyze each figure

  • The first triangle: No point - symmetry. A 180 - degree rotation about any point will change its orientation.
  • The second pentagon: No point - symmetry. A 180 - degree rotation about any point will not map it onto itself.
  • The third parallelogram: Has point - symmetry. The intersection of its diagonals is the center of rotation. A 180 - degree rotation about the intersection of its diagonals maps the parallelogram onto itself.
  • The fourth non - regular figure: No point - symmetry. A 180 - degree rotation about any point will change its appearance.

Answer:

The parallelogram (the third figure)