quadrilateral Flashcards
What is a quadrilateral?
A quadrilateral is a plane figure bounded by four sides and four angles.
What is the sum of the interior angles in a quadrilateral?
The sum of the interior angles in a quadrilateral is 360°.
What is the diagonal of a quadrilateral?
The side joining opposite corners is called the diagonal.
What are the types of quadrilaterals?
Square
Rectangle
Rhombus
Rhomboid/Parallelogram
Trapezoid
Trapezium
What are the properties of a parallelogram?
Opposite sides are parallel.
Opposite sides are equal.
Opposite angles are equal.
What are the properties of a square?
All sides are equal.
All 4 angles are right angles.
What are the properties of a rectangle?
Opposite sides are parallel.
Opposite sides are equal.
All 4 angles are right angles.
What are the properties of a rhombus?
All sides are equal.
Opposite angles are equal.
What are the properties of a trapezoid?
Exactly 1 pair of parallel sides.
Sides do NOT have to be equal in length.
What is a trapezium?
It is a plane figure with 4 sides, where any two sides are equal (need not be parallel).
What is a polygon?
A polygon is a plane figure bounded by many (usually four or more) straight lines.
What is a regular polygon?
When all the sides and included angles are equal, it is called a regular polygon.
What are the properties of a regular polygon
All corners of a regular polygon lie on the circle.
The sides of a regular polygon are tangential to the circle drawn inside.
What is the sum of the interior angles of a polygon?
The sum of the interior angles of a polygon is equal to
(2n−4)×90
, where
𝑛
n is the number of sides.
What is the sum of the exterior angles of a polygon?
The sum of the exterior angles of a polygon is equal to
(2n+4)×90
∘
What is the sum of an interior angle and the corresponding external angle in a polygon?
The sum of an interior angle and the corresponding external angle is
360
