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 13 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: a trapezoid with no square corners, a triangle with no square corner, square, equilateral triangle

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

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

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

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

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

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

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

Sort: regular hexagon, regular pentagon, right triangle, a rhombus that is not a square

Has perpendicular sidesParallel sides, none perpendicularNeither

LessonPrint · 4.G.A.2 · Set 13 · free to copy for classroom use

Answer key — Parallel and Perpendicular Sides

Set 13. Prints on its own sheet.

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

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