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Section 6.6- Trapezoids and Kites
Essential Question: How are the properties of special quadrilaterals related to
parallelograms?
Do Now:
A trapezoid is a quadrilateral with _____________________________________________.
Properties of an Isosceles Trapezoid
1) Each pair of _________ ____________ are ________________
2) Its ________________ are ______________________.
Example 1: 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 PQRS was not an isosceles trapezoid, would the angles still be supplementary?
Explain.
Example 2: Using the Midsegment of a Trapezoid
ME is the midsegment of trapezoid PQRS. What is the value of x? What is MN?
Properties of a Kite
1) Two pairs of __________________ _________ congruent and no opposite sides
_____________
2) Diagonals are ________________.
Mark up diagram below to illustrate properties of a kite.
Example 3: Finding Angle Measures in Kites
Group Work:
What are the measures of the numbered angles?
1.
2.
3. Find the lengths of the segments.
Find the values of the variables in each kite.
4.
HW: p. 394-395 #7-21 odds, 28-32
5.
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