Transcript 8.5 Kites & Trapezoids Proving Kite Properties     Kite Non-vertex Angles Thm  The non-vertex angles of a kite are congruent. Kite Angle Bisector Thm 

8.5 Kites &
Trapezoids
Proving Kite Properties
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Kite Non-vertex Angles Thm
 The non-vertex angles of a kite are congruent.
Kite Angle Bisector Thm
 The vertex angles of a kite are bisected by a
diagonal.
Kite Diagonals Thm
 The diagonals of a kite are perpendicular.
Kite Diagonal Bisector Thm
 The diagonal connecting the vertex angles of
a kite is the perpendicular bisector of the
other diagonal.
Proving Trapezoid Properties
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Trapezoid Consecutive Angles Thm
 The consecutive angles between the bases of
a trapezoid are supplementary.
Isosceles Trapezoid Thm
 The base angles of an isosceles trapezoid are
congruent.
 Converse
Isosceles Trapezoid Diagonals Thm
 A trapezoid is isosceles if and only if its
diagonals are congruent.
Examples
(Discovering Geometry by Serra)
Determine the perimeter.
1.
6
3
z
12
2.
Examples
(Discovering Geometry by Serra)
3.
4.
Exercises (p. 540, Larson)
Midsegments
5.1 of a Triangle
8.5 of a Trapezoid
The 3 midsegments of a triangle divide it into 4
congruent triangles.
Examples (p.297, Larson)
Exercises
(Discovering Geometry by Serra)
2.
1.
12
z
3.
4.
5.
Exercises
(Discovering Geometry by Serra)
6.
8.
7.
Exercises (p.540, Larson)
In Summary (pp.544 - 549, Larson)
In Summary (pp.544 - 549, Larson)
In Summary (pp.544 - 549, Larson)
In Summary (pp.544 - 549, Larson)
In Summary (pp.544 - 549, Larson)
In Summary (pp.544 - 549, Larson)
In Summary (pp.544 - 549, Larson)
In Summary (pp.544 - 549, Larson)
In Summary (pp.544 - 549, Larson)