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AAA= ------=_NextPart_01CA71CA.946EEAF0 Content-Location: file:///C:/D1D930F3/3.7Midsegmentsoftrianglesandtrapezoids_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01CA71CA.946EEAF0 Content-Location: file:///C:/D1D930F3/3.7Midsegmentsoftrianglesandtrapezoids_files/slide0012.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" 3.7 Midsegments of Triangles & Trapezoids
Warm up
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3.7 Midsegments of Triang= les & Trapezoids
FYI= 3;
= ;
3.7 to= day
3.8 next time = 3;
Review= the time after that...
 Then… Chapter 3 test the time after that
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Midsegment of a triangle
<= span class=3DBB style=3D'position:absolute;left:-4.39%'>•A segment= whose endpoints are the midpoints of two sides.  It is parallel to one side of the triangle and its measure is ½ of that= side.
A
B
C
D
E
X
½ X
If AE =3D 15
Find the measure of BD
BD =3D 7.5
midsegment
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A
B
C
D
E
3X – 5 =3D 2(X + 2)
3X – 5 =3D 2X + 4
X =3D 9
AE =3D 22 units
BD =3D 11
TRY THIS
A
B
C
D
E
X<= /b>2 + 1
 X
AND THIS
 = X2 + = 1 =3D 2 (X)
X<= /span>2 – 2X + 1 =3D 0
(X = 211; 1) (X – 1) =3D 0
X =3D = 1
BD =3D= 1 units
AE =3D= 2 units
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Midsegment of a Trapezoid
♥<= /span>A segment whose endpoints are the midpoints of the NON-PARALLEL sides. 
♥<= /span>It’s parallel to the bases and
♥<= /span>its measure =3D (Sum of the bases)
•    2
Midse= gment
BASES
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Try this
&#= 8226;Find the lengths of the parallel segments when x =3D 2
A
B
C
Z
Y
M
X
X + 5
?
AM =3D 2
BY =3D 7
CZ =3D 12
Check to make sure th= ese numbers work…
Find ?
? =3D X + 10
2 + 12  =3D 7=
   2
YEA!!
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Try this…
•Z
•A
•B
•C
•Y
•X
If AZ =3D 25 and =
CX =3D 31= , find BY
•BY = =3D 28
If AZ =3D x2 + 4x - 36 <= span style=3D'color:#333399;mso-color-index:5'>and
CX =3D x2 + 2x - 40 and BY =3D 16 =
Find the lengths of the bases
and this…
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2(4x-4) =3D 10x – 12
8x – 8 =3D 10x -12
4 =3D 2x
X =3D 2
BD =3D 4       AE = =3D 8
Uno mas
Find the lengths of BD and AE if
BD =3D 4x – 4 and AE =3D 10x – 12
B
C
D
E
A
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