section 6-5-6-7: kites and figures in the coordinate plane march 19, 2012 (1b, 2b) march 20, 2012...
DESCRIPTION
Warm-up (cont’d) Find value of x in isosceles trapezoid SEAN Find perimeter of isosceles trapezoid CARLTRANSCRIPT
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Section 6-5-6-7: Kites and Figures in the Coordinate Plane
March 19, 2012 (1B, 2B)March 20, 2012 (4B)
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Plan
Study for quiz on sections 6-1 to 6-4 Questions before quiz (5 mins) Quiz (20 mins) Warm-up (10 mins):
Practice Book, 6-5, p. 72: # 1 – 9 and Examples on next slide....
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Warm-up (cont’d)Find value of x in isosceles trapezoid SEAN
Find perimeter of isosceles trapezoid CARL
![Page 4: Section 6-5-6-7: Kites and Figures in the Coordinate Plane March 19, 2012 (1B, 2B) March 20, 2012 (4B)](https://reader033.vdocument.in/reader033/viewer/2022052706/5a4d1b2e7f8b9ab059999ea0/html5/thumbnails/4.jpg)
Warm-up
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Questions on Homework?
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Section 6-5 (cont’d): KitesSection 6-6/6-7: Figures in Coordinate Plane
Objectives: You will learn to use properties of kites and find coordinates of a quadrilateral
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KitesKite Diagonals are
perpendicular A diagonal bisects the
angles formed by the congruent sides
Angles formed by non-congruent sides are congruent
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Kite Applet
http://www.mathopenref.com/kite.html
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Example 1: Find missing angle measures in KITE
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Example 2: Find x and y
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Example 3: Find x
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Summary: Trapezoids and KitesFill in everything you knowIsosceles Trapezoid Kite
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Sections 6-6 and 6-7: Figures in the Coordinate Plane
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Sections 6-6 and 6-7: Figures in the Coordinate Plane
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Rectangle RECT: coordinates as variables
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Example 1
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Example 2a: Use the properties of each figure to find the missing coordinates
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Example 2b: Use the properties of each figure to find the missing coordinates
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Midsegments/Medians of Trapezoids The midsegment of a trapezoid is the segment that
joins the midpoints of the nonparallel sides (legs) Trapezoid Midsegment Theorem:
1) The midsegment of a trapezoid is parallel to the bases.
2) The length of the midsegment of a trapezoid is half the sum of the lengths of the bases.
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Example 3: Find x in Trapezoid UNCW
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Example 4: Find x
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Example 5: Find x in trapezoid ELON
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Example 6:
a) If BG = 8, then CF = __ DE = __
b) If CF = 10, then BG = __ DE = __
c) If DE = 15 and BG = 7, then CF = __
d) If CF = 2x + 4, BG = 2x + 1, and DE = 3x + 2, then x = ___
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Coordinate Proofs (H)
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Example 8: Given: TWVU are midpoints of each side
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Example 9:
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Wrap-up Today you learned to
use properties of kites and find coordinates of a quadrilateral
Tomorrow we’ll review for the test on Chapter 6 on Wednesday
Homework (H) p. 328 – 329: #1 – 12, 28 – 30 p. 334 – 335: #3, 5, 6, 8, 11
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Wrap-up Today you learned to
use properties of kites and find coordinates of a quadrilateral
Tomorrow we’ll review for the test on Chapter 6 on Wednesday
Homework (R) p. 328 – 329: #1 – 12, 28 – 30