grade 4 Types of Quadrilaterals Types of Quadrilaterals
A quadrilateral is a shape with four sides.
Notebooks, windows, and kites are full of them.
Sides, angles, and diagonals sort them into square, rectangle, rhombus, parallelogram, and trapezoid, and more conditions make a shape more special.
Tap the buttons to inspect each one, and the nest diagram shows how they sit 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
see gongsik.com
Features of each quadrilateral by sides, angles, diagonals Containment of Quadrilaterals see gongsik.com
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
⑤The size slider only zooms. A rhombus has perpendicular diagonals
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.)