Download Geometry 8.5 1-21.notebook

Geometry 8.5 1­21.notebook
January 21, 2014
IDs on. Flowcharts out. Please.
Due TOGETHER Tomorrow: 8.4 Workbook 1­24 all PLUS 8.5 Homework today which is out the book.
True or False Questions for Review.
Feb 9­1:33 PM
Announcements
­IDs
­Today is going to be a information filled day
Feb 9­1:35 PM
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Geometry 8.5 1­21.notebook
January 21, 2014
Section 8.5
Properties of
Trapezoids
and
Kites
Feb 9­1:35 PM
Quadrilateral
Trapezoid
Feb 9­1:42 PM
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Geometry 8.5 1­21.notebook
January 21, 2014
Trapezoid
Trapezoids have one pair of opposite sides parallel.
Feb 9­1:45 PM
base
B
leg
C
leg
A
base
Trapezoid
D
• The opposite sides that are parallel are called the bases.
• The nonparallel sides are the legs of the trapezoid.
•
A trapezoid has two pairs of base angles.
Feb 9­1:50 PM
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Geometry 8.5 1­21.notebook
January 21, 2014
Quadrilateral
Trapezoid
Isosceles
Trapezoid
Feb 9­1:54 PM
Isosceles
Trapezoid
A trapezoid that has congruent legs.
• Each pair of base angles are congruent.
• The diagonals are congruent.
• Opposite angles are supplementary
Feb 9­1:56 PM
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Geometry 8.5 1­21.notebook
January 21, 2014
We Do
Find m F, m G, m H.
F
J
110
H
G
Feb 9­3:15 PM
Midsegment Theorem for Trapezoids
The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases.
A
MN = 1 (AB + CD)
2
M
D
B
N
C
Feb 9­1:59 PM
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Geometry 8.5 1­21.notebook
January 21, 2014
We Do
In the diagram, HK is the midsegment of trapezoid DEFG. Find HK.
6cm
D
H
E
K
18 cm
G
F
Feb 9­2:47 PM
We Do
Find the value of x.
2x
M
17.1
N
8x + 3.2
Feb 9­3:09 PM
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Geometry 8.5 1­21.notebook
January 21, 2014
Quadrilateral
Kite
Trapezoid
Feb 9­2:13 PM
Kite
A kite has two pairs of consecutive congruent sides, but opposite sides are not congruent.
Feb 9­2:17 PM
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Geometry 8.5 1­21.notebook
January 21, 2014
• Diagonals are perpendicular.
• Exactly one pair of opposite angles are congruent.
Feb 9­2:18 PM
We Do
Find the m C in the kite shown.
D
140
C
A
84
B
Feb 9­2:57 PM
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Geometry 8.5 1­21.notebook
January 21, 2014
Assignment
Pg. 546 #'s 7 ­ 11, 13 ­ 16, 25 ­ 27 (trapezoids)
#'s 12, 17 ­ 20, 21 ­ 23 (kites)
Due Tomorrow: This textbook assignment stapled to the back of your 8.4 WB assignment from Monday. Feb 9­2:28 PM
Homework Help
Jan 17­7:56 AM
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Geometry 8.5 1­21.notebook
January 21, 2014
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Geometry 8.5 1­21.notebook
January 21, 2014
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