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A Kite and its properties (view source)
Revision as of 10:56, 19 December 2013
, 10:56, 19 December 2013→Concept # 1. A Kite and its properties
===Learning objectives===
===Learning objectives===
# A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
# A kite is a quadrilateral with two distinct pairs of adjacent sides that are congruent.
# Kites have two pairs of congruent sides that meet at two different points.
# The two pairs of congruent sides meet at two different points.
# A kite can also be described as a quadrilateral with an axis of symmetry along one of its diagonals.
# A kite can also be described as a quadrilateral with an axis of symmetry along one of its diagonals.
# Kites have a couple of properties that will help us identify them from other quadrilaterals.
# Kites have a couple of properties that will help us identify them from other quadrilaterals.
* The diagonals of a kite meet at a right angle.<br>
* The diagonals of a kite meet at a right angle.<br>
*Kites have exactly one pair of opposite angles that are congruent.<br>
* Kites have exactly one pair of opposite angles that are congruent.<br>
* Diagnols intersect at right angles.
Notice that a right angle is formed at the intersection of the diagonals, which is at point N. Also, we see that <K = <M. This is our only pair of congruent angles because <J and <L have different measures.
Notice that a right angle is formed at the intersection of the diagonals, which is at point N. Also, we see that <K = <M. This is our only pair of congruent angles because <J and <L have different measures.