Chapter 6 Section 6.5A Kites and Trapezoids.

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Presentation transcript:

Chapter 6 Section 6.5A Kites and Trapezoids

Trapezoid ABCD with Bases USE PROPERTIES OF KITES AND TRAPEZOIDS Definition Trapezoid A B C D Trapezoid ABCD with Bases

Legs – Non-parallel sides Congruent legs make the trapezoid Isosceles USE PROPERTIES OF KITES AND TRAPEZOIDS Trapezoid Vocabulary Legs – Non-parallel sides Congruent legs make the trapezoid Isosceles A B C D Base Angles – Angle formed by a base and a leg Congruent base angles makes the trapezoid Isosceles

USE PROPERTIES OF KITES AND TRAPEZOIDS

is a midsegment of Trapezoid ABCD A B USE PROPERTIES OF KITES AND TRAPEZOIDS Theorem is a midsegment of Trapezoid ABCD A B C D P Q

The length of the midsegment is equal to half the sum of the bases USE PROPERTIES OF KITES AND TRAPEZOIDS The length of the midsegment is equal to half the sum of the bases

USE PROPERTIES OF KITES AND TRAPEZOIDS

Trapezoid PQSR is Isosceles And Base Angles are  P  Q and R  S USE PROPERTIES OF KITES AND TRAPEZOIDS Theorem P Q R S Trapezoid PQSR is Isosceles And Base Angles are  P  Q and R  S

Trapezoid ABCD is Isosceles so base angles are congruent USE PROPERTIES OF KITES AND TRAPEZOIDS Trapezoid ABCD is Isosceles so base angles are congruent mA = mB = _____ mD = mC = _____

USE PROPERTIES OF KITES AND TRAPEZOIDS Definition Kite Kite GHJK

USE PROPERTIES OF KITES AND TRAPEZOIDS Theorem Kite GHJK

USE PROPERTIES OF KITES AND TRAPEZOIDS Since the Diagonals are Perpendicular we can use the pythagorean theorem (KI)2 = (IT)2 =

USE PROPERTIES OF KITES AND TRAPEZOIDS Theorem H  K Kite GHJK

Kite KITE has one pair of opposite angles congruent USE PROPERTIES OF KITES AND TRAPEZOIDS Kite KITE has one pair of opposite angles congruent mE = mI = ____ mT = ___ mK =___ mK =______, mI = ______, mT = _____, mD =_____