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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 8 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 rhombus that is not a square, rectangle, regular hexagon, a trapezoid with two square corners

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

Sort: a trapezoid with no square corners, a kite with no square corners, a trapezoid with two square corners, rectangle

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

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

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

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

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

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

Has perpendicular sidesParallel sides, none perpendicularNeither

LessonPrint · 4.G.A.2 · Set 8 · free to copy for classroom use

Answer key — Parallel and Perpendicular Sides

Set 8. Prints on its own sheet.

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

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