Section 6-5-6-7: Kites and Figures in the Coordinate Plane

March 19, 2012 (1B, 2B)March 20, 2012 (4B)

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....

Warm-up (cont’d)Find value of x in isosceles trapezoid SEAN

Find perimeter of isosceles trapezoid CARL

Warm-up

Questions on Homework?

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

KitesKite Diagonals are

perpendicular A diagonal bisects the

angles formed by the congruent sides

Angles formed by non-congruent sides are congruent

Kite Applet

http://www.mathopenref.com/kite.html

Example 1: Find missing angle measures in KITE

Example 2: Find x and y

Example 3: Find x

Summary: Trapezoids and KitesFill in everything you knowIsosceles Trapezoid Kite

Sections 6-6 and 6-7: Figures in the Coordinate Plane

Sections 6-6 and 6-7: Figures in the Coordinate Plane

Rectangle RECT: coordinates as variables

Example 1

Example 2a: Use the properties of each figure to find the missing coordinates

Example 2b: Use the properties of each figure to find the missing coordinates

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.

Example 3: Find x in Trapezoid UNCW

Example 4: Find x

Example 5: Find x in trapezoid ELON

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 = ___

Coordinate Proofs (H)

Example 8: Given: TWVU are midpoints of each side

Example 9:

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

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