Question

NO LINKS!!!

Please help me with these Venn Diagram circles

Answer 1

• Note1. It is considered in the answer below that polygons with more than 4 sides are all regular polygons.
• Note2. Only considered polygons up to octagon (8 - sided polygon).

Problem 1

Circle 1

Figures with more than 3 sides but with no pairs of parallel sides:

• Kite,
• Pentagon,
• Heptagon

Intersection

Figures with more than 3 sides and with one or more pairs of parallel sides, almost all even sided polygons:

• Square,
• Parallelogram,
• Rhombus,
• Trapezoid,
• Rectangle,
• Hexagon,
• Octagon

Circle 2

Figures with one or more pairs of parallel sides:

• Empty, all included into intersection region

Problem 2

Circle 1

Figures with less than 4 sides:

• Scalene triangle

Intersection

Figures with less than 4 sides and with at least two sides of equal length:

• Equilateral triangle,
• Isosceles triangle

Circle 2

Figures with at least two sides of equal length:

• Square,
• Rectangle,
• Rhombus,
• Kite,
• Isosceles trapezoid,
• Pentagon,
• Hexagon,
• Heptagon,
• Octagon

Problem 3

Circle 1

Figures with at least one curved side:

• Circle

Intersection

Figures with at least one curved side and with at least one obtuse angle:

• Empty, not considering combination of shapes

Circle 2

Figures with at least one obtuse angle (polygons with more than 4 sides will have obtuse angles)

• Trapezoid,
• Rhombus,
• Kite,
• Parallelogram,
• Pentagon,
• Hexagon,
• Heptagon,
• Octagon