Skip to content
LessonPrint

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 10 of 25 · the same problems every time you open this link.

Next set

One paper per student

12345678910111213141516171819202122232425

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

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

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

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

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

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

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

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

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

Has perpendicular sidesParallel sides, none perpendicularNeither

LessonPrint · 4.G.A.2 · Set 10 · free to copy for classroom use

Answer key — Parallel and Perpendicular Sides

Set 10. Prints on its own sheet.

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

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