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Draw and Identify Perpendicular and Parallel Lines

Students learn the definitions of perpendicular lines (intersecting at right angles) and parallel lines (lines in the same plane that never intersect), draw examples of each, and identify them in two-dimensional figures and real-world contexts.

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Draw and Identify Perpendicular and Parallel Lines

Grade 4 · Lines and Angles in Two-Dimensional Figures · question 1 of 3

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20 rungs. A star at the top.

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Among the signs, which one is a trapezoid?

Which shape? Type its number.

How it is taught

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Parallel lines run the same way and never meet.

Lines that meet in a square corner make a right angle.

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Read it: Read the arrows on the sides

Shape 3 has matching arrows on both pairs of opposite sides. Each pair marks sides that never meet, so shape 3 is a parallelogram.

  1. Find the sides that carry the same arrows.
  2. Count the pairs of matching arrows on each shape.
  3. Name the shape: both pairs make a parallelogram, and at least 1 pair makes a trapezoid.

Parallel sides run side by side and never meet, however far they go.

Perpendicular sides meet in a square corner, and a square mark shows it.

A parallelogram has at least 1 pair of parallel sides too, so it is also a trapezoid.

Matching arrows mark parallel sides. Count the pairs to name the shape.

Calling two sides parallel because they look close to it, with no arrows on them.

Shape 4 has no matching arrows: its sides would meet if they went on. Only marked sides are parallel.

How many pairs of parallel sides does a rectangle have? — 2. A rectangle's opposite sides never meet: 2 pairs of parallel sides.

Identify in a rectangle

Look around — train tracks, the corner of a book, the rungs of a ladder. Lines have special relationships. Today we'll learn two of them.

First, watch these two lines. They run side by side, always staying exactly the same distance apart.

We call these parallel lines. Even if they kept going forever, they would never, ever cross.

We mark parallel lines with little matching arrows so we remember they're a pair.

Now look at a different pair. These two lines cross right in the middle.

But not just any crossing — they make a perfect square corner. We mark it with a tiny square.

That square corner is called a right angle, and lines that meet this way are perpendicular.

Now look at this rectangle. Let's find both in a shape you already know.

Grade 4 · Two special ways lines can relate

The top and bottom sides never get closer or farther apart, so they are parallel.

And every corner is a right angle, so the sides that meet are perpendicular.

Parallel lines never meet. Perpendicular lines meet at a right angle. A rectangle has both — nice work!

Now you try. Name this shape from the list. Which shape is this?

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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