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Question
the figure is an isosceles trapezoid how many lines of reflectional symmetry does the trapezoid have? 0 1 2 3
Step1: Recall the definition of line of reflectional symmetry
A line of reflectional symmetry is a line that divides a figure into two congruent parts such that one part is the mirror - image of the other.
Step2: Analyze the isosceles trapezoid
For an isosceles trapezoid, there is a vertical line passing through the mid - points of the non - parallel sides (the bases). When we reflect the trapezoid over this vertical line, the left part of the trapezoid maps exactly to the right part.
There is no other line (horizontal, oblique) that can divide the isosceles trapezoid into two mirror - image congruent parts. So, an isosceles trapezoid has 1 line of reflectional symmetry.
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