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Grade 4 · Maths · Lessons
Sorting by the sides
▭rectangle🔺triangle◇rhombus⏢trapezoid
Sort by the sides.
The big ideaParallel sides never meet. Perpendicular sides meet at a right angle.

How it works

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

Sort shapes by parallel sides and right angles.

A rectangle has two pairs of parallel sides and four right angles.

Rectangle• 2 pairs parallel• 4 right anglesTriangle• no parallel sides• may have a right angle
Shapes and their sides.

Example 1: A rhombus

  1. A rhombus has 4 equal sides and slanted corners.
  2. Check its corners: none are square.
  3. It has no right angle.

Example 2: A triangle

  1. A triangle has 3 sides.
  2. No two sides stay the same distance apart.
  3. It has no pairs of parallel sides.

Example 3: A turned rectangle

  1. A rectangle is turned on its side.
  2. Turning doesn't change it.
  3. It still has two pairs of parallel sides.

Words to know

parallel
Lines that never meet.
right angle
A square corner, 90 degrees.

Watch out

Try it

  1. How many pairs of parallel sides does a triangle have?
  2. Does a rectangle have right angles?
  3. Does a rhombus always have a right angle?
  4. How many pairs of parallel sides does a trapezoid have?
Answers: 1. none · 2. yes, four · 3. no · 4. 1
For grown-upsCut shapes from paper and sort them by parallel sides and right angles.
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