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Pages 180–181
Check for Understanding
1.
Triangles are classified by sides and angles. For
example, a triangle can have a right angle and
have no two sides congruent.
2.
Sample answer:
3.
Always; equiangular triangles have three acute
angles.
4.
Never; right triangles have one right angle and
acute triangles have all acute angles.
5.
The triangle has one angle with measure greater
than 90, so it is an obtuse triangle.
6.
The triangle has three congruent angles, so it is
an equiangular triangle.
7.
n
MJK
is obtuse because
m
/
MJK
.
90.
n
KLM
is obtuse because
m
/
KLM
5
m
/
MJK
and
m
/
MJK
.
90.
n
JKN
is obtuse because
m
/
JNK
5
180
2
m
/
JNM
5
180
2
52 or 128.
n
LMN
is obtuse because
m
/
LNM
5
180
2
m
/
JNM
5
180
2
52 or 128.
8.
n
GHD
is a right triangle because
G
w
H
w
'
D
w
F
w
so
/
GHD
is a right angle.
n
GHJ
is a right triangle because
G
w
H
w
'
D
w
F
w
so
/
GHJ
is a right angle.
n
IJF
is a right triangle because
I
w
J
w
i
G
w
H
w
,
G
w
H
w
'
D
w
F
w
so
I
w
J
w
'
D
w
F
w
and
/
IJF
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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Angles

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