PIB Geometry 5-5: Trapezoids. 5-5 Warm Up. Answer True of False Chapter 5 True False Practice.docx.

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Presentation transcript:

PIB Geometry 5-5: Trapezoids

5-5 Warm Up. Answer True of False Chapter 5 True False Practice.docx

5-4 Homework Questions

5-5: Trapezoids - Objectives Apply definitions and identify the properties of kite, trapezoid and isosceles trapezoid.

Definitions A trapezoid is a quadrilateral with… An isosceles trapezoid is a trapezoid with…

A kite is a quadrilateral with… We actually proved a property about kites already in the chapter 4 notes.chapter 4 notes

Theorem 5-18: Isosceles Trapezoid Theorem The base angles of an isosceles trapezoid are congruent. Proved in last night’s homework:

Definition A median of a trapezoid is Note the difference between median of a triangle and median of a trapezoid! You’d think these mathematicians could have come up with a new word…

Theorem 5-19: Trapezoid Median Theorem The median of a trapezoid: 1.Is parallel to the bases 2.Has length equal to the average of the bases

Does anyone care about the proof???

Example

How do BE, CF, and DG compare in this triangle?

5-5 Homework p. 192: #1-19 odd, 28, 8, 16