Is A Rectangle A Kite

Quadrilateral > Kite

KITE

Definition

A kite is a quadrilateral that has TWO (2) PAIRS OF EQUAL Side by side SIDES THAT ARE EQUAL IN LENGTH.

A drawing showing a kite that has two pairs of equal ADJACENT sides that are equal in length.

INTERESTING FACTS:

When all sides accept equal length, the kite will likewise exist a rhombus.
When all angles are right angles (90°), the kite will likewise exist a square.
A kite sometimes looks like an old fashion kite. Hence, a familiar term is a "box kite."

Information technology Is Helpful To Think

It is helpful to call up of a KITE as a RECTANGLE or Foursquare with its four (iv) edges folded into a shape of a kite, a diamond (rhomb) or a box (square).

A drawing showing showing a rectangle with it four edges folded inward creating a shape of a kite.

Traditional Formula

Expanse _Kite = (d₁ x d_ii)/2

A drawing showing a kite with two diagonals in it.

NOTES:

DIAGONALS are lines (dashed) that cantankerous at correct angles and i of the diagonals bisects (cuts as in half) the other.
Angles are equal where two pairs encounter.

Thinking Inside The Box

If you place a KITE inside of a box (a rectangle or a foursquare) and fold the correct or left side that are separated past a diagonal into the reverse side, you will go a rectangle or square that is half of the box that information technology is in.

A drawing showing a kite with the right side that are separated by diagonals being rotated to the other side creating a smaller rectangle.

When all sides have equal length, the kite will also be a rhomb or a foursquare.

Note: Note also that you could had folded the meridian or bottom instead of the left or correct side of this kite.

KEY: Hence, y'all can use the rectangle formula instead of the kite formula to derive its surface area. Since a kite is idea of as a special rectangle or square , you tin multiple the two diagonals together as though they were the peak and width of a rectangle and dissever it by two to get its area.

ExampleS

A kite with diagonals of 4 in and vii in has an area of:

Treat the two diagonals as the peak and width of a rectangle.
Utilise the rectangle formula instead (Area _Kite = pinnacle x width).
Divide the result by 2.

Area _Kite = (4 in × 7 in)/2 = 28 in/2 = 14 in^two

A kite with both diagonals of 4 in has an area of:

Treat the two diagonals equally the height and width of a rectangle.
Use the rectangle formula instead (Area _Kite = height x width).
Carve up the result by ii.

Area _Kite = (iv in × 4 in)/2 = 16 in/2 = viii in²

REFERENCE: See screenshots above for graphic representations.

Memorization Tip

To think the similarities between a kite and a triangle, information technology is helpful to think of a KITE or a TRIANGLE every bit HALF of a rectangle or a square. Hence, you split up the consequence by 2.