Properties of Trapezoids and Kites

Explore the characteristics of trapezoids and kites in geometry. Learn about isosceles trapezoids, angle measures, midsegments, theorems, and more through detailed explanations and visual aids. Understand the unique properties of each shape and how they are used in geometric calculations.

• Trapezoids
• Kites
• Geometry
• Properties
• Theorems

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Uploaded on Oct 03, 2024 | 0 Views

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Presentation Transcript

1. 6-6 Trapezoids and Kites

2. Trapezoid: a quadrilateral with exactly one pair of parallel sides Isosceles Trapezoid: a trapezoid with legs that are congruent

3. Theorem 6-19 If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent

4. Problem 1: Finding Angle Measures in Trapezoids

6. Problem 2: Finding Angle Measures in Isosceles Trapezoids

7. Theorem 6-20 If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent

8. Midsegment of a trapezoid: is the segment that joins the midpoints of its legs

9. Theorem 6-21 Trapezoid Midsegment Theorem 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

10. Problem 3: Using the Midsegment of a Trapezoid

12. Kite: a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent

13. Theorem 6-22 If a quadrilateral is a kite, then its diagonals are perpendicular

14. Problem 4: Finding Angle Measures in Kites