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Kite meaning Geometry

You probably know a kite as that wonderful toy that flies aloft on the wind, tethered come you by string. The toy dragon is based upon the geometric shape, the kite.

You are watching: Do the diagonals of a kite bisect each other

A kite is a quadrilateral form with two pairs of nearby (touching), congruent (equal-length) sides. That means a dragon is every one of this:

A plane figureA close up door shapeA polygon

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Sometimes a kite deserve to be a rhombus (four congruent sides), a dart, or even a square (four congruent sides and four congruent internal angles).

Some kites space rhombi, darts, and also squares. No every rhombus or square is a kite. All darts room kites.

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Kites deserve to be convex or concave. A dart is a concave kite. That means two the its sides relocate inward, toward the within of the shape, and also one that the four interior angles is higher than 180°. A dart is additionally called a chevron or arrowhead.

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How To construct A kite in Geometry

You have the right to make a kite. Discover four uncooked spaghetti strands. Cut or break two spaghetti strands to be same to every other, but much shorter than the various other two strands.

Touch 2 endpoints of the short strands together. Touch two endpoints that the longer strands together. Currently carefully lug the remaining 4 endpoints together so an endpoint of each short piece touches an endpoint of each long piece. You have actually a kite!

How To draw A dragon In Geometry

You can also draw a kite. Use a protractor, ruler and pencil. Attract a heat segment (call it KI) and, indigenous endpoint I, draw an additional line segment the same length as KI. That brand-new segment will certainly be IT.

The edge those 2 line segments do (∠I) deserve to be any angle other than 180° (a straight angle).

Draw a dashed heat to attach endpoints K and also T. This is the diagonal line that, eventually, will most likely be inside the kite. Currently use your protractor. Line it up along diagonal KT so the 90° mark is in ~ ∠I. Mark the spot on diagonal KT whereby the perpendicular touches; that will certainly be the center of KT.

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Lightly attract that perpendicular together a dashed line passing with ∠I and also the facility of diagonal KT. Make that line as long as friend like.

If you end the line closer to ∠I 보다 diagonal KT, you will obtain a dart. If you finish the new line further away from ∠I 보다 diagonal KT, you will make a convex kite.

Connect the endpoint the the perpendicular line with endpoint T. Label it suggest E. Connect point E with point K, creating line segment EK. Notice that heat segments (or sides) TE and also EK are equal. An alert that political parties KI and IT space equal.

You probably attracted your dragon so political parties KI and EK are not equal. That also means IT and TE space not equal. You could have attracted them every equal, make a rhombus (or a square, if the internal angles are right angles).

Properties the Kites

The kite"s sides, angles, and also diagonals all have identifying properties.

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Kite Sides

To be a kite, a quadrilateral must have actually two bag of sides that are equal to one another and also touching. This renders two bag of adjacent, congruent sides.

You could have one pair of congruent, adjacent sides but not have actually a kite. The various other two sides might be of unequal lengths. Then you would have actually only a quadrilateral.

Your kite could have four congruent sides. Your quadrilateral would certainly be a dragon (two bag of adjacent, congruent sides) and a rhombus (four congruent sides).


Kite Angles

Where 2 unequal-length sides accomplish in a kite, the inner angle they produce will constantly be equal to its opposite angle. Look in ~ the dragon you drew.

∠K = ∠T and ∠I = ∠E.

It is feasible to have all four interior angle equal, making a kite that is also a square.

Kite Diagonals

The 2 diagonals of ours kite, KT and also IE, crossing at a appropriate angle. In every kite, the diagonals intersect at 90°. Periodically one the those diagonals could be outside the shape; climate you have a dart. That does no matter; the intersection the diagonals that a dragon is constantly a appropriate angle.

A 2nd identifying residential or commercial property of the diagonals the kites is that one of the diagonals bisects, or halves, the other diagonal. They can both bisect every other, making a square, or only the longer one could bisect the shorter one.

Lesson Summary

For what seems to it is in a really basic shape, a kite has a lot of of interesting features. Making use of the video clip and this created lesson, we have learned the a dragon is a quadrilateral through two pairs of adjacent, congruent sides.

Kites have the right to be rhombi, darts, or squares. We also know that the angles created by unequal-length sides are constantly congruent.

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Finally, we understand that the kite"s diagonals always cross in ~ a best angle and one diagonal constantly bisects the other.

Next Lesson:

What Is a Rectangle?


What friend learned:

After viewing the video clip and analysis this lesson, you will find out to:

Recognize the polygon referred to as a kitePlace the kite in the family of quadrilateralsDefine a kiteKnow the three identifying nature of a kite