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Classifying shapes by line properties

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles as a category

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What a learner can do afterwards

  • Sort a set of quadrilaterals into those with parallel sides and those without
  • Identify which triangles in a set are right triangles
  • Classify shapes that have both perpendicular and parallel sides

The lesson

You already know what parallel and perpendicular lines look like. Now you can use those same clues to sort shapes into groups: shapes with parallel sides, shapes with perpendicular sides, and shapes with both.

A rectangle has two pairs of parallel sides. Every corner is a right angle, so the sides are also perpendicular.
Try it together

Omar looks at a triangle and finds one corner that makes a perfect square, like the corner of a book page. That square corner is a right angle, so Omar calls it a right triangle.

Good to know

To sort shapes fast, look for two clues: arrows on sides mean they are parallel, and a small square in a corner means a right angle. Some shapes show both clues at once.

Sort shapes by their lines: look for parallel sides and right angle corners, and remember a right triangle has just one right angle.

Watch it

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

Classifying shapes by line properties · Mathematics, ages 9 to 10 · LightMySky