Geometry
GradesFifth GradeGeometryClassifying 2D Shapes

Classifying 2D Shapes

📐 Geometry
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Classifying 2D Shapes

Every square is a rectangle — but not every rectangle is a square!

Two-dimensional shapes can be organized in a hierarchy based on their properties. A shape that fits into a more specific category also belongs to all the broader categories above it. Squares belong to rectangles, rectangles belong to parallelograms, and so on.

Quadrilateral Hierarchy (most specific → most general)

Square → has 4 equal sides AND 4 right angles ↓ is also a Rectangle (4 right angles) ↓ is also a Parallelogram (2 pairs of parallel sides) ↓ is also a Trapezoid (at least 1 pair of parallel sides) ↓ is also a Quadrilateral (4 sides)

Specific shapes inherit ALL properties of the shapes above them.

Parallelogram

2 pairs of parallel sidesOpposite sides equalOpposite angles equalIncludes rectangles, rhombuses, squares

Rectangle

All parallelogram properties PLUS4 right angles (90°)Diagonals are equal lengthIncludes squares

A square has ALL properties of a rectangle, rhombus, and parallelogram.

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Remember This!

Use a Venn diagram to visualize the hierarchy. Every inner category is a subset of the outer category — smaller sets are more specific.

✏️ Try It!

Which statement is ALWAYS true?

Take Quiz 📝 — 25 Questions