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TRAPEZOIDS AND KITES CHA PTER 6 SECTI ON 6 Tr

TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

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Page 1: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

TRAPE

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Page 2: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

TRAPEZOID

A quadrilateral with exactly one pair of parallel sides

Page 3: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

PARTS OF A TRAPEZOID

Base

Base

Leg Leg

Base Angle

Base Angle

Page 4: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

ISOSCELES TRAPEZOID

A trapezoid with congruent legs and congruent base angles.

Page 5: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

THEOREM 6-19

If a quadrilateral is an isosceles trapezoid, then each par of base angles is congruent.

Page 6: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

TURN TO PAGE 390

Look at Problems 1 and 2

Try the Got It Problems for those examples.

Page 7: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

THEOREM 6-20

If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent.

Page 8: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

MIDSEGMENT OF A TRAPEZOID

The segment that joins the midpoints of the legs.

Page 9: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

THEOREM 6-21

If a quadrilateral is a trapezoid, then

1.The midsegment is parallel to the bases

2.The length of the midsegment is half the sum of the lengths of the bases.

Page 10: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

TURN TO PAGE 391…

Look at Problem 1

Try the Got It Problems for that example.

Page 11: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

KITE

Quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.

Page 12: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

THEOREM 6-22

If a quadrilateral is a kite, then its diagonals are perpendicular.

Page 13: TRAPEZOIDS AND KITES CHAPTER 6 SECTION 6 Tr. TRAPEZOID A quadrilateral with exactly one pair of parallel sides

TURN TO PAGE 393…

Look at Problem 4

Try the Got It for that problem.