chapter 6.6 trapezoids and kites. trapezoid o a trapezoid is a quadrilateral with exactly one pair...

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Chapter 6.6 Trapezoids and Kites

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Page 1: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Chapter 6.6Trapezoids and Kites

Page 2: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

TrapezoidO A trapezoid is a quadrilateral with

exactly one pair of parallel sidesO The parallel sides are called bases.O The nonparallel sides are called legsO If the legs are congruent, then it is

an isosceles trapezoid.

Page 3: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Concept 1

Page 4: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Use Properties of Isosceles Trapezoids

A. BASKET Each side of the basket shown is an isosceles trapezoid. If mJML = 130, KN = 6.7 feet, and LN = 3.6 feet, find mMJK.

Page 5: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Use Properties of Isosceles Trapezoids

B. BASKET Each side of the basket shown is an isosceles trapezoid. If mJML = 130, KN = 6.7 feet, and JL is 10.3 feet, find MN.

Page 6: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

A. 124

B. 62

C. 56

D. 112

A. Each side of the basket shown is an isosceles trapezoid. If mFGH = 124, FI = 9.8 feet, and IG = 4.3 feet, find mEFG.

Page 7: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

A. 4.3 ft

B. 8.6 ft

C. 9.8 ft

D. 14.1 ft

B. Each side of the basket shown is an isosceles trapezoid. If mFGH = 124, FI = 9.8 feet, and EG = 14.1 feet, find IH.

Page 8: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Isosceles Trapezoids and Coordinate Geometry

Quadrilateral ABCD has vertices A(5, 1), B(–3, –1), C(–2, 3), and D(2, 4). Show that ABCD is a trapezoid and determine whether it is an isosceles trapezoid.

A quadrilateral is a trapezoid if exactly one pair of opposite sides are parallel. Use the Slope Formula.

Page 9: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Quadrilateral QRST has vertices Q(–1, 0), R(2, 2), S(5, 0), and T(–1, –4). Determine whether QRST is a trapezoid and if so, determine whether it is an isosceles trapezoid.A. trapezoid; not

isosceles

B. trapezoid; isosceles

C. not a trapezoid

D. cannot be determined

Page 10: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Midsegment of a Trapezoid

O The midsegment of a trapezoid is the segment that connects the midpoints of the legs of the trapezoid.

Page 11: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Concept 3

Page 12: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

In the figure, MN is the midsegment of trapezoid FGJK. What is the value of x?

Midsegment of a Trapezoid

Page 13: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

A. XY = 32

B. XY = 25

C. XY = 21.5

D. XY = 11

WXYZ is an isosceles trapezoid with medianFind XY if JK = 18 and WZ = 25.

Page 14: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

KiteO A kite is a quadrilateral with exactly

two pairs of congruent sides.

http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=TIEfqjxzmD_2ZM&tbnid=K5Qc1tsDlq977M:&ved=0CAUQjRw&url=http://blog.austinkids.org/tag/kite/&ei=IbtuUtbbEu-44AOE04DICA&bvm=bv.55123115,d.dmg&psig=AFQjCNHpYtQDYWWaFtqelUjYU8j1dCp06Q&ust=1383074960083917

Page 15: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Concept 4

Page 16: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Use Properties of Kites

A. If WXYZ is a kite, find mXYZ.

Page 17: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

Use Properties of Kites

B. If MNPQ is a kite, find NP.

Page 18: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

A. 28°

B. 36°

C. 42°

D. 55°

A. If BCDE is a kite, find mCDE.

Page 19: Chapter 6.6 Trapezoids and Kites. Trapezoid O A trapezoid is a quadrilateral with exactly one pair of parallel sides O The parallel sides are called bases

A. 5

B. 6

C. 7

D. 8

B. If JKLM is a kite, find KL.

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