Question

question 4 of 10

one way to recognize a line of symmetry is to look for a line that divides the original image into:

a. two perpendicular parts.
b. two intersecting parts.
c. three congruent parts.
d. two congruent parts.

Explanation:

Define line of symmetry

A line of symmetry is a line that divides a geometric figure into two matching halves.

Analyze the geometric relationship

When a shape is folded along its line of symmetry, the two halves match exactly. In geometry, figures that match exactly in shape and size are called congruent. Therefore, the line divides the original image into two congruent parts.

Evaluate the given options

• Option A suggests perpendicular parts, which is incorrect.
• Option B suggests intersecting parts, which does not guarantee symmetry.
• Option C suggests three parts, whereas a single line divides a shape into two parts.
• Option D correctly states that the line divides the image into two congruent parts.

Answer:

• A. two perpendicular parts.
• B. two intersecting parts.
• C. three congruent parts.
• D. two congruent parts. (Correct answer)