Free Quadrilaterals and Polygons worksheets with answer keys

Polygons and Quadrilaterals Worksheet Generator

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Types of polygons and quadrilaterals worksheets you can make

Polygons:

  • Is it a polygon?: decide whether each figure is a polygon, including open shapes, curved shapes, circles and shapes whose sides cross
  • Identifying polygons: count the sides and name each polygon, from triangle to dodecagon, with a word bank. The shapes can be regular, irregular or concave.
  • Regular or irregular polygons: tick marks show equal sides and squares show right angles. This includes a rhombus (equal sides, unequal angles) and a rectangle (equal angles, unequal sides).
  • Convex or concave polygons: decide whether each polygon caves in. The answer key circles the angle greater than 180°.
  • Angles of polygons: find the sum of the angles, like (7 − 2) × 180° = 900° find each angle of a regular polygon find each exterior angle of a regular polygon, like 360° ÷ 8 = 45° find a missing angle in a polygon find the number of sides from the angle sum or from an exterior angle

Triangles:

  • Classifying triangles by sides: equilateral, isosceles or scalene, shown with tick marks or side lengths
  • Classifying triangles by angles: acute, right or obtuse, shown with angle measures or as pictures only
  • Classifying triangles by sides and angles: name both, like right isosceles or obtuse scalene
  • Can the sides make a triangle?: check whether three lengths make a triangle, like 4 + 5 = 9, which is greater than 8

Quadrilaterals:

  • Classifying quadrilaterals: write the most specific name: square, rectangle, rhombus, parallelogram, trapezoid, kite or quadrilateral. Tick marks show equal sides, arrows show parallel sides, and squares show right angles.
  • All the names for a quadrilateral: circle every name that fits. For example, a square is also a quadrilateral, a parallelogram, a rectangle and a rhombus.
  • Quadrilateral properties, true or false: statements like “Every square is a rectangle” and “Every rhombus is a square,” with a reason for each answer
  • Angles in quadrilaterals: find missing angles using the 360° angle sum, the opposite angles of a parallelogram, and the base angles of an isosceles trapezoid

Make each worksheet your own:

  • use polygons with 3 to 8 sides or 3 to 12 sides
  • show triangles with tick marks, side lengths, or a mix
  • show triangle angles as measures, as pictures only, or a mix
  • choose how many problems to include, from 4 to 20
  • colorful pictures, or turn the colors off to save ink
  • every worksheet comes with an answer key that shows the reason or the work, like 360° − (81 + 81 + 114)° = 84°

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