Parallel and Perpendicular Lines Worksheets

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Parallel, perpendicular and intersecting lines: a chart, naming pairs of lines, finding them in shapes and letters, and drawing them on dot paper. With keys.

Download the parallel and perpendicular lines worksheets

Parallel, perpendicular and intersecting lines

A chart, naming pairs of lines, counting parallel sides and right angles in shapes, finding them in letters and drawing them on dot paper.

  • Preview of the printable “Parallel and perpendicular lines” worksheet: parallel lines never meet, perpendicular lines meet at right angles, and intersecting lines crossView larger

    Parallel and perpendicular lines

    Parallel lines never meet, perpendicular lines meet at right angles, and intersecting lines cross

  • Preview of the printable “Parallel or perpendicular Lines?, sheet A” worksheet: naming pairs of lines as parallel, perpendicular or intersectingView all 2 pages

    Parallel or perpendicular Lines?, sheet A

    Naming pairs of lines as parallel, perpendicular or intersecting

    Answer key on page 2

    2 pages36 KB

  • Preview of the printable “Parallel or perpendicular Lines?, sheet B” worksheet: naming turned pairs of lines, including lines that would meet if they were longerView all 2 pages

    Parallel or perpendicular Lines?, sheet B

    Naming turned pairs of lines, including lines that would meet if they were longer

    Answer key on page 2

    2 pages38 KB

  • Preview of the printable “Parallel and perpendicular sides” worksheet: counting pairs of parallel sides and right angles where perpendicular sides meet in polygonsView all 2 pages

    Parallel and perpendicular sides

    Counting pairs of parallel sides and right angles where perpendicular sides meet in polygons

    Answer key on page 2

    2 pages57 KB

  • Preview of the printable “Draw parallel and perpendicular lines” worksheet: drawing a line through a point parallel or perpendicular to a given line on dot paperView all 2 pages

    Draw parallel and perpendicular lines

    Drawing a line through a point parallel or perpendicular to a given line on dot paper

    Answer key on page 2

    2 pages44 KB

About these parallel and perpendicular lines worksheets

Parallel lines are always the same distance apart and never meet, like the rails of a train track. Perpendicular lines cross to make right angles, like the corner of a page. Intersecting lines cross at one point; perpendicular lines are a special kind of intersecting lines.

Shapes can be described by their lines. A rectangle has two pairs of parallel sides, and its sides are perpendicular at every corner. A trapezoid has exactly one pair of parallel sides.

These worksheets name pairs of lines, count parallel sides and right angles in shapes, find parallel and perpendicular segments in capital letters, and draw lines on dot paper. Every fact in the answer keys is computed from the drawings.

Standards

  • CCSS.MATH.CONTENT.4.G.A.1Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

How to use them

  1. Teach from the chart, then use Sheet A and the turned lines on Sheet B.
  2. Use Parallel and Perpendicular Sides and Lines in Letters.
  3. Finish by drawing lines on dot paper with a ruler.

Teaching tips

  • Lines that look close to parallel but slowly get closer will meet if made longer.
  • Check a right angle with the corner of a card.
  • On dot paper, count the dots across and up to copy a line's slant.

Questions teachers and parents ask

What is the difference between parallel and perpendicular lines?

Parallel lines never meet. Perpendicular lines meet at a right angle.

Are perpendicular lines also intersecting lines?

Yes. They cross, so they intersect, and the angles they make are right angles.