Download Key for 8-5 and Test Review

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DATE
PERIOD __
NAME
Study Guide
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DATE
PERIOD __
Skills Practice
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Trapezoids
Trapezoids
A trapezoid
is a quadrilateral
with
parallel sides. The parallel sides are
the nonparallel sides are called legs.
LE and LF are called base angles.
the other pair of base angles.
A trapezoid is an isosceles
legs are congruent.
.r:»:
exactly one pair of
called bases, and
In trapezoid EFGH,
LH and LG form
H
base
For ~ch
1.
G
E~F
G
base
trapezoid
2:\
/
7ft
15
=
5ft
A
---TR, PA; TP, AR; L T
and LR, LP and LA
6.
16m
B
'"-~"'.
14 m
15 m
17cm
8.
14 yd
7
~
+ RS)
9.
in.
"" "C7 7
median MN, find the
1
38 yd
26 yd
t(6x - 3 + 8x + 5)
15 = t(14x
y
WZ, XY; WX, ZY; L W
and LZ, LX and L Y
"
R
P
/"-,
7.
= t(VT
T\.7
Find the length of the median in each trapezoid.
311
4.
5.
Both pairs of base angles of an isosceles trapezoid are
congruent.
The diagonal of an isosceles trapezoid are congruent.
The median of a trapezoid is parallel to the bases, and its
measure is one-half the sum of the measures of the bases.
Given trapezoid RSTVwith
value ofx.
Z
---- ---AC, GE; AG, CE; LA
and LC, LG and LE
The following theorems all concern trapezoids.
MN
tJ
E
if its
The median of a trapezoid is the segment
that joins the midpoints of the legs.
Example:
trapezoid, name the bases, the legs, and the base angles.
3.
2.
x
5m
c--\,
""
/
~
12m
in.
Ul
Ul
8.5m
4 in.
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Find the missing angle measures in each isosceles trapezoid.
10.
11.
N
12.
+ 2)
1::\
15 = 7x + 1
14 = 7x
2=x
o
~
M(1
C
P~
0
55,125,125
HJKL is an isosceles trapezoid with bases HJ and LK, and
median RS. Use the given information to solve each problem.
K
1. If LK = 30 and HJ = 42, find RS.
36
2. If RS = 17 and HJ = 14, find LIe
20.\
L~
_pJs
RHI-t------l
13.
HO'
4. If mLLRS = 66, find mLKSR.
© Glencoe/McGraw-Hili
0
14.
M
15.
64·
F
3. If RS = x + 5 and HJ + LIe = 4x + 6, find RS. 7
105,75,75
124,56,56
64,116,116
X
~
0
0
x
T
0
C
150,30,30
A
72,108,108
66
327
Geometry: Concepts and Applications
© Glencoe/McGraw-Hili
328
Geometry:
Concepts
and Applications
Compare the given lengths using >, <, or
~
1.
=
A
D
G
R
B
T
W
Z
I
I
I
I
I
I
I
I
I
-4
-3
-2
-1
0
1
2
3
4
GB
=
WB
2.
>
AR
N
III
TZ
L/crL:;-
K
3. Name an exterior angle of .t.JLK.
4. Name the remote interior angles based question #3.
1+
yo<.-{
ha.! £S-: L 2 g. L.3
yo ...•.w
/.{7
~1.:
L:3 IfrL
v
5. In the figure to the right, x
=
o
T
6. Compare the following
angles using>, <, or
LSPR>
LSQR
u
7. For .t.XYZ below, list the sides in
order from least to greatest measure
=
-
:zx
Zy X)I"
--,--" ---'--'
(U~+k
e.x+e."-/;:"j
)~(\~ 4
~~~
Q+ L.R
y
Z
8. Can you make a triangle out of the sides 6em, 8em, and 3 em?
Ye. $
9. What range of values would work for x if gem, 3em, and x em make a triangle?
if -)(\s
s ''>'I..,..!1
:3 +~
-1 -~
1's
gem
a2.+b2.:;:,.C-'>(2.
+ q 2.~lo/2
)!2i-'21
- '3'
1
)(2.:;:
= (q~
-
&'{
lit)
x em
X~Jli5
(
L.X ;t: tD. 7
~Iif(
:r.
aa:ep..t
}:> f"te~
e~~
~
8'
b ''j
12 ">-x.
-x>(."
14em
"')l
3..;-C"f /' x.
-:x+3>Q
10. What is the value of x?
'7
SC4I-e..;4-
c;; c::: --x. L.. {Z
,.(:
cutSwe!'.
bo-HoM
-eJlo~~1
dr~~s
a.,,-e.J\'+ .-6
.WIN???
-+-he
\S;{\+
~~i/}c.e-
::::L$'PR
A+
l~k11\3
X
~rIl)
6t1\5f-e
~be\,
orte,
't
i<io - 5"5 zz: 12-S""
1
(l1LA ~
_
Isso
7
;/
/
j
12.5
t---t
II
A
11. In parallelogram ABeD, find mLA.
D
C
--+
---t
12. Given that BF 1. DH and BD and BH are opposite rays,
compare using <, >, or =
mLHBG
>
c
mLGBE
k c...CJIu...il s..eML#8C;
'V
jNz ~
:.~5'()
6Bt
.::.(3 S--t- 25)
B..,:.....
~2Y
0
:::: 00<:::>
30
14. Find the value of s. x =
"8Lf+
F~
--~
H
15. Find the value of x
x
Cj 4.+ 1S{)+y: =- 3foo
33,0
IDO-+12CJ -t5X+l(,)(=-
2Z6
3~0
+;>< ~
- 2-Z-e;,
-33
-3"3<::>
= '2D
EACH
77
blank, write "yes" or "no."
Is this a rectangle?
a square?
() C
a rho~bus?
n0
a parallelogram?
-+ 7x ;: 3bo
- Z -z. 0
7>< ~ ILJD
X= "30
16. For
3lao
x= 26
y·e.f:>
'jej;
17. Tell me two things you know about the diagonals of a RHOMBUS.
-fhe.y b
(~
i
<; <2..G+
0-
A
eac."-
()+her
and
r-ho,vA~)u.> 1.s
pt::A--ec../l..elo'JI'CuVlJ
**MAKE SURE YOU CAN ALSO DO EVERYTHlNG
-fRey
O-r-e-<
p-e rpeoL'cu6tp
6vh.1 ch ~/lS
t:Z
~'I
CJo 0
~~
MoJ:.e
vvr-f.!,,, ~h.
FROM THE TRAPEZOID SECTION!**
.
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