Advanced Geometry
Topic 6 – Polygons and Quadrilaterals
NOTES – Trapezoids and Kites (6-6)
Name: _____________________________________________________
Date: _________________________________ Period: ____________
THEOREM 6-20
If a quadrilateral is an isosceles trapezoid,
If…
Then…
If…
Then…
If…
Then…
then each pair of _______________________
_______________________ is _______________________.
THEOREM 6-21
If a quadrilateral is an isosceles trapezoid,
then its _______________________ are
_______________________.
THEOREM 6-22
If a quadrilateral is a trapezoid, then
(1) the midsegment is _______________________
to the bases, and
(2) the length of the midsegment is
_______________________ the sum of the
lengths of the bases.
THEOREM 6-23
If a quadrilateral is a kite, then its diagonals
If…
Then…
are _______________________.
Finding Angle Measures in Trapezoids
a.
In the diagram, PQRS is an isosceles trapezoid and 𝑚∠𝑅 = 106°.
What are m∠P, m∠Q, and m∠S?
b.
If CDEF were not an isosceles trapezoid, would ∠𝐶 and ∠D still
be supplementary? Explain.
Using the Midsegment of a Trapezoid
̅̅̅̅̅̅
𝑀𝑁 is the midsegment of trapezoid PQRS. What is x? What is MN?
Finding Angle Measures in Kites
Quadrilateral KLMN is a kite. What are m∠1, m∠2, and m∠3?