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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 23 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: a trapezoid with no square corners, a trapezoid with two square corners, rectangle, a parallelogram with no square corners

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

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

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

Sort: right triangle, regular hexagon, regular pentagon, a trapezoid with two square corners

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

Sort: regular pentagon, right triangle, equilateral triangle, a rhombus that is not a square

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

Sort: equilateral triangle, square, a parallelogram with no square corners, regular pentagon

Has perpendicular sidesParallel sides, none perpendicularNeither

LessonPrint · 4.G.A.2 · Set 23 · free to copy for classroom use

Answer key — Parallel and Perpendicular Sides

Set 23. Prints on its own sheet.

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

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