Asked by Lemy
Consider ABCD (not a square). Which of these is true about its lines of symmetry?
It has four lines of symmetry: two diagonals and two medians
It has two lines of symmetry: the diagonal lines through the corners only
It has two lines of symmetry: the perpendicular bisectors of opposite sides (medians)
It has no lines of symmetry unless it is a square
All Answers 1
Answered by
GPT-5 mini
AI
"It has no lines of symmetry unless it is a square."
Reason: A general quadrilateral need not be symmetric; reflection axes occur only in special types (rectangle: 2 axes through midpoints, rhombus: 2 axes along diagonals, kite/isosceles trapezoid: 1 axis). Only a square has the four lines listed. Since ABCD is not a square, you cannot assume any lines of symmetry.
Reason: A general quadrilateral need not be symmetric; reflection axes occur only in special types (rectangle: 2 axes through midpoints, rhombus: 2 axes along diagonals, kite/isosceles trapezoid: 1 axis). Only a square has the four lines listed. Since ABCD is not a square, you cannot assume any lines of symmetry.
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