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Parallel and Perpendicular is a free printable Grade 4 maths worksheet on classifying pairs of lines, aligned to Common Core standard 4.G.A.1. 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 pupils in the class work from the same page. Print it from the browser or download it as a PDF — no account, no email.

Set 1 of 25 · the same problems every time you open this link.

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All 25 sets ask different questions.

Parallel and Perpendicular

4.G.A.1

NameDate

Sort each one into the right box.

1.Sort each one into the right box.

Sort: parallelogram, hexagon, equilateral triangle, square

Has parallel sidesNo parallel sides
2.Sort each one into the right box.

Sort: square, equilateral triangle, scalene triangle, trapezoid

Has parallel sidesNo parallel sides
3.Sort each one into the right box.

Sort: kite, square, equilateral triangle, hexagon

Has parallel sidesNo parallel sides
4.Sort each one into the right box.

Sort: scalene triangle, hexagon, rhombus, rectangle

Has parallel sidesNo parallel sides
5.Sort each one into the right box.

Sort: rectangle, rhombus, parallelogram, kite

Has parallel sidesNo parallel sides

LessonPrint · 4.G.A.1 · Set 1 · free to copy for classroom use

Answer key — Parallel and Perpendicular

Set 1. Prints on its own sheet.

  1. 1.Has parallel sides: parallelogram, hexagon, square; No parallel sides: equilateral triangle
  2. 2.Has parallel sides: square, trapezoid; No parallel sides: equilateral triangle, scalene triangle
  3. 3.Has parallel sides: square, hexagon; No parallel sides: kite, equilateral triangle
  4. 4.Has parallel sides: hexagon, rhombus, rectangle; No parallel sides: scalene triangle
  5. 5.Has parallel sides: rectangle, rhombus, parallelogram; No parallel sides: kite

Questions about Parallel and Perpendicular

What does the Parallel and Perpendicular worksheet cover?

It practises classifying pairs of lines — 5 questions for Grade 4, all on Common Core 4.G.A.1: Draw and identify lines, rays and angles. The instruction to pupils is “Sort each one into the right box”, and the answer key follows on the next sheet.

Which Common Core standard does Parallel and Perpendicular practise?

CCSS.MATH.CONTENT.4.G.A.1 — 4.G.A.1, in the Geometry domain for Grade 4. The published standard reads: “Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.” The worksheet assesses that standard rather than a paraphrase of it.

What age or grade is this worksheet for?

Parallel and Perpendicular is written for Grade 4, typically ages 9-10. It is one of the sheets on 4.G.A.1, so it suits any pupil working at that standard — including older pupils revisiting it and younger ones working ahead.

Does Parallel and Perpendicular come with an answer key?

Yes. All 5 answers are generated from the same problems as the questions, so the key cannot drift out of step with the sheet. It starts on a fresh sheet of paper, after the questions, so it is not handed out with the class by accident.

How many different versions of Parallel and Perpendicular can I print?

25 — one per pupil, and all 25 ask different questions. Set 1 downloads the whole class as a single PDF. Every version is fixed to its own address, so a sheet printed today holds the same problems when you reopen it next week.

Is Parallel and Perpendicular free to print and photocopy?

Yes. Parallel and Perpendicular, its answer key and its 25 versions are free to print and photocopy for your own class, with no account, no email capture and no subscription at the download step. Please do not resell them or republish them as your own.

More practice for 4.G.A.1

Draw and identify lines, rays and angles.

All Grade 4 worksheets

Last reviewed 2026-09-05. Aligned to 4.G.A.1 of the Common Core State Standards for mathematics.