Asked by Big Papa
The figure is an isosceles trapezoid.
A trapezoid has equal left and ride sides.
How many lines of reflectional symmetry does the trapezoid have?
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Answered by
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An isosceles trapezoid has one line of reflectional symmetry: the perpendicular bisector of the two bases (the line through the midpoints of the bases). Reflecting across that line swaps the left and right equal legs and maps the top base to itself and the bottom base to itself. No other reflection works unless the trapezoid is a special case (e.g. becomes a rectangle or square), in which case it would have more.
An isosceles trapezoid has one line of reflectional symmetry: the perpendicular bisector of the two bases (the line through the midpoints of the bases). Reflecting across that line swaps the left and right equal legs and maps the top base to itself and the bottom base to itself. No other reflection works unless the trapezoid is a special case (e.g. becomes a rectangle or square), in which case it would have more.
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