Geometry Notes #: Section 6.6: Trapezoids and Kites ... - sibelcaba
Geometry Notes #: Section 6.6: Trapezoids and Kites ... - sibelcaba
Geometry Notes #: Section 6.6: Trapezoids and Kites ... - sibelcaba
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<strong>Geometry</strong> <strong>Notes</strong> #:<br />
<strong>Section</strong> <strong>6.6</strong>: <strong>Trapezoids</strong> <strong>and</strong> <strong>Kites</strong> Objective:<br />
What is a Trapezoid?<br />
Theorem 6-19: If a<br />
quadrilateral is an isosceles<br />
trapezoid, then each pair of base<br />
angles is congruent.<br />
Theorem 6-20: If a<br />
quadrilateral is an isosceles<br />
trapezoid, then its diagonals are<br />
congruent.<br />
Isosceles Trapezoid:<br />
Legs are congruent<br />
Trapezoid Midsegment Theorem: If a<br />
quadrilateral is a trapezoid, then<br />
1. The midsegment is parallel to the bases<br />
2. The length of the midsegment is half the<br />
sum of the lengths of the bases.<br />
Kite<br />
Theorem 6-22: If a<br />
quadrilateral is a kite, then<br />
its diagonals are<br />
perpendicular.
<strong>Geometry</strong> <strong>Notes</strong> #:<br />
<strong>Section</strong> <strong>6.6</strong>: <strong>Trapezoids</strong> <strong>and</strong> <strong>Kites</strong> Objective:<br />
Example 1)<br />
a) In the diagram, PQRS is an isosceles<br />
trapezoid <strong>and</strong> =106. What are<br />
the measures of the angles P, Q<br />
<strong>and</strong> S?<br />
b) If PQRS were not an isosceles<br />
trapezoid, would angles Q <strong>and</strong> R<br />
be supplementary?<br />
Example 2) What are the values of x <strong>and</strong> y in the<br />
isosceles triangle below if<br />
Example 3) is the midsegment of trapezoid<br />
WXYZ. What is x?<br />
Example 4) Quadrilateral KLMN is a kite. What are ?<br />
CONCEPT SUMMARY
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