Question

question 9 of 10

what divides a design so that every point on one side of the line coincides with a point on the other side of it?

a. equator of symmetry
b. line of symmetry
c. symmetrical half life
d. point of symmetry

Explanation:

Analyze the definition of geometric symmetry

The question asks for the term that describes what divides a design so that every point on one side of the line coincides with a point on the other side. This is the definition of reflectional symmetry across a line.

Evaluate the given options

• A. Equator of symmetry: This is not a standard mathematical term.
• B. Line of symmetry: A line of symmetry divides a figure into two congruent halves that are mirror images of each other, meaning every point on one side coincides with a corresponding point on the other side when folded.
• C. Symmetrical half life: This is a nonsensical term combining symmetry and physics.
• D. Point of symmetry: A point of symmetry refers to rotational symmetry of \(180^\circ\) around a central point, not division by a line.

Select the correct option

Option B, "Line of symmetry", perfectly matches the description in the prompt.

Answer:

• (A) Equator of symmetry
• (B) Line of symmetry (Correct answer)
• (C) Symmetrical half life
• (D) Point of symmetry