MathIsimple

Quadrilaterals Beginner

Master the four-sided polygons: parallelograms, rectangles, rhombi, squares, and trapezoids. Learn their properties, angle relationships, and area formulas.

Geometry
Beginner
~45 min
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1. What is a Quadrilateral?

A quadrilateral is a polygon with exactly 4 sides, 4 vertices, and 4 interior angles.

Angle Sum Property

∠A+∠B+∠C+∠D=360°\angle A + \angle B + \angle C + \angle D = 360°

The sum of interior angles in any quadrilateral is always 360°.

Convex Quadrilateral

All interior angles < 180°. All vertices point outward.

Concave Quadrilateral

One interior angle > 180°. Has an "inward dent".

2. Parallelogram
3. Rectangle
4. Rhombus
5. Square
6. Trapezoid

Practice Quiz

Practice Quiz
20
Questions
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1
How many sides does a quadrilateral have?
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2
What is the sum of interior angles in a quadrilateral?
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3
A parallelogram has:
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4
Which quadrilateral has all sides equal and all angles 90°90°?
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5
A rectangle has:
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6
A rhombus has:
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7
A trapezoid has:
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8
In a parallelogram, opposite angles are:
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9
In a parallelogram, consecutive angles are:
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10
The diagonals of a rectangle are:
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11
The diagonals of a rhombus are:
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12
The diagonals of a square are:
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Area of a rectangle with length ll and width ww is:
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14
Area of a parallelogram with base bb and height hh is:
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15
A square is a special case of:
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16
Perimeter of a square with side ss is:
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Area of a square with side ss is:
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18
In which quadrilateral do the diagonals bisect each other?
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A quadrilateral with exactly one pair of parallel sides is called:
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20
The area of a trapezoid with parallel sides aa, bb and height hh is:
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