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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.

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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 kite with no square corners, a trapezoid with no square corners, a trapezoid with two square corners, regular pentagon

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

Sort: square, a rhombus that is not a square, a triangle with no square corner, a parallelogram with no square corners

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

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

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

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

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

Sort: a triangle with no square corner, a rhombus that is not a square, a parallelogram with no square corners, a trapezoid with two square corners

Has perpendicular sidesParallel sides, none perpendicularNeither

LessonPrint · 4.G.A.2 · Set 25 · free to copy for classroom use

Answer key — Parallel and Perpendicular Sides

Set 25. Prints on its own sheet.

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

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