Question

question 7 of 10 when an image has a point of symmetry, then any line containing that point will be a line of symmetry. a. true b. false

Explanation:

A point of symmetry means that for every point \(P\) in the image, there is a corresponding point \(P'\) such that the center of symmetry is the mid - point of the segment \(PP'\). A line of symmetry means that the image is symmetric with respect to that line (reflection symmetry). Just having a point of symmetry does not imply that every line passing through that point is a line of symmetry. For example, consider a parallelogram (which has a point of symmetry at the intersection of its diagonals). But its diagonals are not lines of symmetry (except for special cases like a rhombus, rectangle, or square which have additional symmetries). So the statement "When an image has a point of symmetry, then any line containing that point will be a line of symmetry" is false.

Answer:

B. False