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Geometry Session 7: Solutions
 
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A B C 
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Solutions for Session 7, Part A

See solutions for Problems: A1 | A2 | A3


Problem A1

The isosceles trapezoid has one line of symmetry, the perpendicular bisector of the base. The scalene triangle has no lines of symmetry. The isosceles triangle has one line of symmetry, the perpendicular bisector of the base. The ellipse has two lines of symmetry, one along the major and one along the minor axis. The rectangle has two lines of symmetry, the perpendicular bisector of the longer sides, and the perpendicular bisector of the shorter sides. The circle has infinitely many lines of symmetry, any line going through the center. (Any diameter is a line of symmetry.) The parallelogram pictured has no lines of symmetry. Neither does the trapezoid.

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Problem A2

Each regular polygon has as many lines of symmetry as it has sides.

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Problem A3

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