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 18 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: regular hexagon, equilateral triangle, a rhombus that is not a square, a triangle with no square corner

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, rectangle

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

Sort: a triangle with no square corner, a parallelogram with no square corners, right triangle, equilateral triangle

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

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

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

Sort: regular pentagon, regular hexagon, a trapezoid with two square corners, equilateral triangle

Has perpendicular sidesParallel sides, none perpendicularNeither

LessonPrint · 4.G.A.2 · Set 18 · free to copy for classroom use

Answer key — Parallel and Perpendicular Sides

Set 18. Prints on its own sheet.

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

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