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Parallel and Perpendicular Sides is a free printable Grade 4 math worksheet on sorting shapes by whether they have perpendicular sides, only parallel sides, or neither, aligned to Common Core standard 4.G.A.2. It prints 5 questions with an answer key on its own sheet of paper, in 25 versions that each ask different questions, so no two students in the class work from the same page. Print it from the browser or download it as a PDF — no account, no email.

Set 17 of 25 · the same problems every time you open this link.

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Set 1 has all 25 in a single PDF. All 25 sets ask different questions.

Parallel and Perpendicular Sides

4.G.A.2

NameDate

Sort each one into the right box.

1.Sort each one into the right box.

Sort: equilateral triangle, a parallelogram with no square corners, right triangle, a trapezoid with no square corners

Has perpendicular sidesParallel sides, none perpendicularNeither
2.Sort each one into the right box.

Sort: regular pentagon, rectangle, regular hexagon, square

Has perpendicular sidesParallel sides, none perpendicularNeither
3.Sort each one into the right box.

Sort: a kite with no square corners, right triangle, a parallelogram with no square corners, square

Has perpendicular sidesParallel sides, none perpendicularNeither
4.Sort each one into the right box.

Sort: a triangle with no square corner, equilateral triangle, rectangle, regular pentagon

Has perpendicular sidesParallel sides, none perpendicularNeither
5.Sort each one into the right box.

Sort: a rhombus that is not a square, equilateral triangle, rectangle, a trapezoid with no square corners

Has perpendicular sidesParallel sides, none perpendicularNeither

LessonPrint · 4.G.A.2 · Set 17 · free to copy for classroom use

Answer key — Parallel and Perpendicular Sides

Set 17. Prints on its own sheet.

  1. 1.Has perpendicular sides: right triangle; Parallel sides, none perpendicular: a parallelogram with no square corners, a trapezoid with no square corners; Neither: equilateral triangle
  2. 2.Has perpendicular sides: rectangle, square; Parallel sides, none perpendicular: regular hexagon; Neither: regular pentagon
  3. 3.Has perpendicular sides: right triangle, square; Parallel sides, none perpendicular: a parallelogram with no square corners; Neither: a kite with no square corners
  4. 4.Has perpendicular sides: rectangle; Parallel sides, none perpendicular: —; Neither: a triangle with no square corner, equilateral triangle, regular pentagon
  5. 5.Has perpendicular sides: rectangle; Parallel sides, none perpendicular: a rhombus that is not a square, a trapezoid with no square corners; Neither: equilateral triangle

Last reviewed 2026-09-05. Aligned to 4.G.A.2 of the Common Core State Standards for Mathematics.