Types of Quadrilaterals Types of Quadrilaterals
A quadrilateral is a shape with four sides.
You see them in notebooks, windows, and kites.
Their sides, angles, and diagonals sort them into square, rectangle, rhombus, parallelogram, and trapezoid, and more conditions make a shape more special.
Here you tap the buttons to explore each shape and watch how they nest inside one another.
Types of Quadrilaterals
🔷 Quadrilaterals have 4 sides
①Names depend on side length and angles
②Square, rectangle, rhombus, parallelogram, trapezoid
③Each has its own special rules
Compare Directly
Square Rectangle Rhombus Parallelogram Trapezoid
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Features of each quadrilateral by sides, angles, diagonals Containment of Quadrilaterals
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Hierarchy of containment among quadrilaterals 🪆 Quadrilaterals are nested
①A square is also a rectangle and a rhombus
②Rectangles and rhombuses are parallelograms
③Parallelograms are trapezoids
④More conditions = more special!
Summary
Square
All sides equal + all angles = 90°
Most special; both a rectangle and a rhombus
Rectangle
Opposite sides equal + all angles = 90°
A quadrilateral with four right angles
Parallelogram
Opposite sides parallel + equal length
Both pairs of opposite sides are parallel
🎯 Key Points
①Square: 4 equal sides, 4 right angles
②Rectangle: 4 right angles, opposite sides equal
③Rhombus: 4 equal sides, perpendicular diagonals
④Parallelogram: opposite sides parallel
⑤Trapezoid: only one pair parallel
Examples and Unit Test
Example 1
What is a quadrilateral with four equal sides and four right angles called?
1 Tell quadrilaterals apart by side length and angle size.
2 Four equal sides and four right angles make a square.
▸ Square
A square is the most special quadrilateral; it is both a rectangle and a rhombus.
Example 2
What is a quadrilateral with only one pair of parallel sides called?
1 Look at how many pairs of sides are parallel.
2 Only one pair of opposite sides parallel makes a trapezoid. (Two pairs = parallelogram.)
▸ Trapezoid
One pair of parallel sides = trapezoid; two pairs = parallelogram.
Unit Test
Which quadrilateral has "four right angles and equal opposite sides"?
① rhombus
② rectangle
③ trapezoid
④ parallelogram
▸ ② rectangle
1 Find the quadrilateral with all four angles right.
2 Four right angles with equal opposite sides is a rectangle. (Equal sides too = square.)