Download Geometry Section 8.5 - West End Public Schools

Geometry
Section 8.5
Use Properties of Trapezoids and
Kites
Trapezoid
Quadrilateral with
exactly one pair of
parallel sides (bases)
base
leg
If the legs of a
trapezoid are
congruent, then it is an
isosceles trapezoid
leg
base
Base angles
Isosceles Trapezoid Theorems
If a trapezoid is
isosceles, then each
pair of base angles is
congruent
If a trapezoid has a
pair of congruent base
angles, then it is and
isosceles trapezoid.
A trapezoid is
isosceles iff its
diagonals are
congruent.
Midsegment of a trapezoid
The segment that
connects the midpoints
of its legs
Midsegment Theorem for Trapezoids
The midsegment of a
trapezoid is parallel to
each base and its
length is one half the
sum of the lengths of
the bases
Kite
A quadrilateral that
has two pairs of
consecutive congruent
sides, but opposite
sides are not congruent
Kite Diagonal Theorem
If a quadrilateral is a
kite, then its diagonals
are perpendicular
Theorem
If a quadrilateral is a
kite, then exactly one
pair of opposite angles
are congruent
Examples
Classzone
Assignment
Section 8.5
Page 546
Problems #4 – 26 even, 34, 36