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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 6 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, a trapezoid with two square corners, a triangle with no square corner

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

Sort: regular hexagon, a trapezoid with no square corners, regular pentagon, a triangle with no square corner

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

Sort: rectangle, regular pentagon, square, a trapezoid with two square corners

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

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

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

Sort: square, a parallelogram with no square corners, regular pentagon, a trapezoid with two square corners

Has perpendicular sidesParallel sides, none perpendicularNeither

LessonPrint · 4.G.A.2 · Set 6 · free to copy for classroom use

Answer key — Parallel and Perpendicular Sides

Set 6. Prints on its own sheet.

  1. 1.Has perpendicular sides: a trapezoid with two square corners; Parallel sides, none perpendicular: a parallelogram with no square corners; Neither: equilateral triangle, a triangle with no square corner
  2. 2.Has perpendicular sides: —; Parallel sides, none perpendicular: regular hexagon, a trapezoid with no square corners; Neither: regular pentagon, a triangle with no square corner
  3. 3.Has perpendicular sides: rectangle, square, a trapezoid with two square corners; Parallel sides, none perpendicular: —; Neither: regular pentagon
  4. 4.Has perpendicular sides: right triangle, a trapezoid with two square corners; Parallel sides, none perpendicular: a parallelogram with no square corners; Neither: equilateral triangle
  5. 5.Has perpendicular sides: square, a trapezoid with two square corners; Parallel sides, none perpendicular: a parallelogram with no square corners; Neither: regular pentagon

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