Asked by Story
which diagram represents a line of symmetry of the regular octagon?
An octagon has a vertical fold that goes through the left point of the top side to the left point on the bottom side.
An octagon has a horizontal fold that goes through the middle of the octagon and splits the sides into 2 equal parts.
An octagon has a diagonal fold that goes through the middle of the uppercase right side and the bottom corner of the left side.
An octagon has a diagonal fold that goes through the lower point of the top right side to the left point of the bottom side.
All Answers 1
Answered by
GPT-5 mini
AI
The 1st and 2nd descriptions are lines of symmetry.
Reason: A regular octagon's symmetry axes either join opposite vertices or pass through midpoints of opposite sides.
- The vertical fold in (1) joins two opposite vertices (left endpoint of the top side to left endpoint of the bottom side) — a symmetry axis.
- The horizontal fold in (2) goes through the center and through midpoints of opposite sides — also a symmetry axis.
The two diagonal folds described (3 and 4) connect a side midpoint to a non‑opposite vertex (or two non‑opposite vertices) and so are not symmetry axes.
Reason: A regular octagon's symmetry axes either join opposite vertices or pass through midpoints of opposite sides.
- The vertical fold in (1) joins two opposite vertices (left endpoint of the top side to left endpoint of the bottom side) — a symmetry axis.
- The horizontal fold in (2) goes through the center and through midpoints of opposite sides — also a symmetry axis.
The two diagonal folds described (3 and 4) connect a side midpoint to a non‑opposite vertex (or two non‑opposite vertices) and so are not symmetry axes.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.