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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 21 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: square, a kite with no square corners, right triangle, a triangle with no square corner

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

Sort: regular hexagon, a kite with no square corners, a rhombus that is not a square, a trapezoid with no square corners

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

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

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

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

Has perpendicular sidesParallel sides, none perpendicularNeither

LessonPrint · 4.G.A.2 · Set 21 · free to copy for classroom use

Answer key — Parallel and Perpendicular Sides

Set 21. Prints on its own sheet.

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

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