Angles In Quadrilaterals

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Quadrilateral means " 4 sides ”

1) quad - 4.

2) lateral - side.

Any four-sided shape are called as a Quadrilaterals.
But the sides have to be in a straight line; moreover it has to be 2-dimensional.Quadrilaterals are moreover simple (not self-intersecting) or complex (self-intersecting). Simple quadrilaterals are either convex or concave.

Properties of quadrilaterals:

4 sides (or edges)
4 vertices's (or corners)
Then 4 interior angles add up to 360 degrees.

Types of Quadrilateral:

Trapezium (or) Trapezoid
Parallelogram
Rhombus
Rectangle
Square
Kite
Four sides (or edges)
Four vertices (or corners).
The interior angles add up to 360 degrees.

Explanation for Angles in Quadrilaterals:

Trapezoid

• A quadrilateral is called as a trapezoid if and only if it contains 2 adjacent angles with the intention of being supplementary, that is, they add up to one in a straight line angle of 180 degrees.

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The second image is isosceles trapezoid.

Parallelogram

• Parallelogram is directed the Opposite sides are parallel and equal in length in the lines, and opposite angles are equal in size of the parallel lines.

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Square

• A square is a quadrilateral which has four and all four sides are equal in length and every angle in a square is a right angle (90°).

• A square also fits the condition of a rectangle and a rhombus.

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Rhombus

• Rhombus is a four-sided figure where all sides have equal length.

• Also contrary sides are parallel and contrary angles are equal.

• An extra intriguing thing is to facilitate that the diagonals of a rhombus intersect each other at right angles.

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Rectangle

• A rectangle quadrilateral is a 4 -sided shape where every angle is at right angle (90°).

• Also opposite sides of the rectangle are parallel and of equal length.

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Kite

• Two sets of adjacent sides of a kite are equivalent in length

• One set of opposite angles are same in size.

• Diagonals bisect each other at right angles.

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In general learning quadrilateral is a plane figure bounded by four straight sides. The activities of interior angles are quadrilateral sum up to 360º. A quadrilateral is a four sided polygon. Types of quadrilaterals include square, rhombus, rectangle, parallelogram, trapezoid, and kite. This section concerns the set of basic shapes: quadrilaterals closed plane figures with four sides. In activities for quadrilaterals learning article, you can learn about the various forms of quadrilaterals.

Types - Activities for Quadrilaterals learning:

The types of quadrilateral from activities for Quadrilaterals learning article,

Kite,
Trapezoid,
Parallelogram,
Rhombus,
Rectangle,
Square.

Activities for quadrilaterals learning; Different types of quadrilaterals

1. Kite:

The geometric name for the wind-blown, flying kite

Adjacent sides equal.

Diagonals intersect at right angles.

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Kite

2. Trapezoid:

A four-sided figure with two unequal parallel sides and two non-parallel sides

Has one pair of parallel sides .

A trapezoid has four sides.

Two sides are parallel.

The opposing two sides are not parallel.

Perimeter P= b1+b2+s3+s4

Perimeter equals the sum of the lengths of each side.

Area A= 1/2 h(b1+b2)

Area equals one-half times the height times the sum of the bases.

Trapezoid

3. Parallelogram:

A Four-sided figure with opposite sides equal and parallel. The interior angles are NOT necessarily equal to 90°

Opposite sides are equal and parallel

Opposite angles are equal

Diagonals are unequal and intersect each other at the midpoint and form unequal opposite angles

Area = base x height

Perimeter P= 2b + 2w

Perimeter equals twice the length plus twice the width

Area A= bh

Area equals base times height

Parallelogram

4. Rhombus:

A Four-sided figure with all sides equal. Its opposite sides are parallel.

All sides are equal

Opposite sides are parallel

But it has two acute and two obtuse angles

Perimeter P=4s

Perimeter equals four times the length of one side

Area A= sh

Alternatively A=1/2 d1d2

Rhombus

5. Rectangle:

Four-sides are opposite sides equal and parallel. Each interior angle measures 90°

Opposite sides are parallel

Has four right angles

Diagonals are equal and intersect each other at the midpoint and form equal opposite angles

Perimeter p = 2l +2w

Perimeter equals twice the length plus twice the width

Area A= lw

Area equals length times width

rectangle

6. Square:

Four-sided figure with all four sides are equal. Each internal angle measures 90°

All sides are equal

Has four right angles

Diagonals bisect each other at right angles

It also has four right angles (perfect corners).

Perimeter P = 4s

Perimeter equals four times the length of one side

Area A =s2.

Learn more on about Multiplying Two Binomials and its Examples. Between, if you have problem on these topics Log Derivative, Please share your comments.