Transcript 6.4 B - Kites

2.3e: Quadrilaterals
-Kites
CCSS:
G-CO.11 Prove theorems about parallelograms. Theorems include: opposite sides are
congruent, opposite angles are congruent, the diagonals of a parallelogram bisect
each other, and conversely, rectangles are parallelograms with congruent diagonals.
G-GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example,
prove or disprove that a figure defined by four given points in the coordinate plane is
a rectangle; prove or disprove that the point (1, v3) lies on the circle centered at the
origin and containing the point (0, 2).
GSE’s
M(G&M)–10–2 Makes and defends conjectures, constructs
geometric arguments, uses geometric properties, or uses
theorems to solve problems involving polygons
• Kites- a quadrilateral with 2 pairs of consecutive
@ sides, but opposite sides are not @.
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http://guilford.rps205.com/departments/Math/Links/Honors%20Geometry/Honors%20Geometry%20Power%20Points/6.5%20Trapezoids%20&%20Kites.ppt#8
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• If a quad is a kite then its diagonals are
http://guilford.rps205.com/departments/Math/Links/Honors%20Geometry/Honors%20Geometry%20Power%20Points/6.5%20Trapezoids%20&%20Kites.ppt#9
• If a quadrilateral is a kite, then exactly one pair of
opp ‘s are @.
Always the congruent angles are
made up of the two non @ sides
so in this problem B @ C
Where would
Coordinate D be
if ABCD was a
Kite?
In Kite ABRN, Find the
value of B
110
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Homework