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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 20 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: rectangle, right triangle, a triangle with no square corner, regular pentagon

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

Sort: a rhombus that is not a square, a trapezoid with two square corners, regular hexagon, right triangle

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

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

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

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

Has perpendicular sidesParallel sides, none perpendicularNeither

LessonPrint · 4.G.A.2 · Set 20 · free to copy for classroom use

Answer key — Parallel and Perpendicular Sides

Set 20. Prints on its own sheet.

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

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