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Classifying shapes

Sorting shapes by their angles and sides: right triangles, shapes with four right angles, and shapes with parallel or perpendicular sides.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

Test each corner for a square corner (a right angle); the corner of a sheet of paper makes a handy tester. Then look for pairs of sides that never meet: they're parallel.

Watch for: Missing a right triangle that's turned so the square corner isn't at the bottom. Thinking a triangle can have two right angles. Counting a trapezoid as having four right angles because it has parallel sides.

At home: Use the corner of a sheet of paper to test corners at home: books, tiles, signs, a slice of toast.

Sample sheet and answer key

Luna's Space Adventure

Grade 4 · Classifying shapes · 4.G.A.2

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Right triangles

Circle each triangle with a square corner.

Sides and angles

Circle yes or no.

A square has perpendicular sides.yesno

A triangle can have two right angles.yesno

A trapezoid has exactly one pair of parallel sides.yesno

A rhombus always has four right angles.yesno

A rectangle has two pairs of parallel sides.yesno

Right angles

Circle each shape with four right angles.

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4GA2-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 4 · Classifying shapes · 4.G.A.2

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Right triangles

Circle each triangle with a square corner.

Sides and angles

Circle yes or no.

A square has perpendicular sides.yesno

A triangle can have two right angles.yesno

A trapezoid has exactly one pair of parallel sides.yesno

A rhombus always has four right angles.yesno

A rectangle has two pairs of parallel sides.yesno

Right angles

Circle each shape with four right angles.

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4GA2-SP-FIRST at mathness.appAnswer key
Answer key

New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

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Standard

Common Core 4.G.A.2 · Sort shapes by their parallel or perpendicular sides and their angles.

Also: Maryland 2025 4.GR.C.9 · Texas TEKS 4.6C · Florida B.E.S.T. MA.4.GR.1.1 · Virginia SOL 4.MG.5

More grade 4 sheets: geometry