Shape Classifier & Quadrilateral Family Tree

All quadrilaterals have 4 sides. The family tree shows how special types are related.

• Trapezoid has at least 1 pair of parallel sides
• Parallelogram has 2 pairs of parallel sides
• Rectangle is a parallelogram with 4 right angles
• Rhombus is a parallelogram with 4 equal sides
• Square is both a rectangle and a rhombus

Every square is a rectangle, a rhombus, a parallelogram, and a trapezoid!

Parallel lines run in the same direction and never cross, like train tracks.

• A trapezoid has exactly 1 pair of parallel sides
• A parallelogram has 2 pairs of parallel sides
• A regular hexagon has 3 pairs of parallel sides
• Triangles, kites, and pentagons have no parallel sides

In this tool, parallel sides are shown with colored dashed lines and arrow marks. Each pair gets its own color.

A right angle measures exactly 90 degrees, like the corner of a book or a door frame. It is marked with a small square.

• Squares and rectangles have 4 right angles
• A right triangle has 1 right angle
• Rhombuses and parallelograms usually do not have right angles

A line of symmetry divides a shape into two matching halves. If you fold along that line, both sides match up perfectly.

• A square has 4 lines of symmetry
• An equilateral triangle has 3
• A rectangle and rhombus each have 2
• A kite and isosceles triangle each have 1
• A circle has infinitely many