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Parallel and Perpendicular is a free printable Grade 4 math 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 students in the class work from the same page. Print it from the browser or download it as a PDF — no account, no email.

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All 25 sets ask different questions.

Parallel and Perpendicular

4.G.A.1

NameDate

Sort each pair of lines into the right box.

1.Sort each one into the right box.

Sort: the two sloping sides of a capital A, the two strokes of a capital V, the hands of a clock at 3:00, the long edges of a ruler

ParallelPerpendicularNeither
2.Sort each one into the right box.

Sort: the two sloping sides of a capital A, the two rails of a train track, two lines on writing paper, two edges meeting at the corner of a page

ParallelPerpendicularNeither
3.Sort each one into the right box.

Sort: the long edges of a ruler, the two strokes of a capital T, the two cut edges of a slice of pizza, the hands of a clock at 3:00

ParallelPerpendicularNeither
4.Sort each one into the right box.

Sort: the two strokes of a capital L, two lines on writing paper, two edges meeting at the corner of a page, the top and bottom edges of a door

ParallelPerpendicularNeither
5.Sort each one into the right box.

Sort: the hands of a clock at 2:00, two edges meeting at the corner of a page, the long edges of a ruler, the two sloping sides of a capital A

ParallelPerpendicularNeither

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.Parallel: the long edges of a ruler; Perpendicular: the hands of a clock at 3:00; Neither: the two sloping sides of a capital A, the two strokes of a capital V
  2. 2.Parallel: the two rails of a train track, two lines on writing paper; Perpendicular: two edges meeting at the corner of a page; Neither: the two sloping sides of a capital A
  3. 3.Parallel: the long edges of a ruler; Perpendicular: the two strokes of a capital T, the hands of a clock at 3:00; Neither: the two cut edges of a slice of pizza
  4. 4.Parallel: two lines on writing paper, the top and bottom edges of a door; Perpendicular: the two strokes of a capital L, two edges meeting at the corner of a page; Neither: —
  5. 5.Parallel: the long edges of a ruler; Perpendicular: two edges meeting at the corner of a page; Neither: the hands of a clock at 2:00, the two sloping sides of a capital A

Questions about Parallel and Perpendicular

What does the Parallel and Perpendicular worksheet cover?

It practices 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 students is “Sort each pair of lines into the right box”, and the answer key follows on the next sheet.

Which Common Core standard does Parallel and Perpendicular practice?

CCSS.MATH.CONTENT.4.G.A.1 — 4.G.A.1, under Geometry 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 student working at that standard — including older students 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 student, 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.