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27. Given:
T
w
S
w
>
S
w
F
w
>
F
w
H
w
>
H
w
T
w
/
TSF
,
/
SFH
,
/
FHT
, and
/
HTS
are right angles.
Prove:
/
SHT
>
/
SHF
Proof:
28. Given:
D
w
E
w
>
F
w
B
w
,
A
w
E
w
>
F
w
C
w
,
A
w
E
w
'
D
w
B
w
,
C
w
F
w
'
D
w
B
w
Prove:
n
ABD
>
n
CDB
Plan:
First use SAS to show that
n
ADE
>
n
CBF
.
Next use CPCTC and Reflexive Property for
segments to show
n
ABD
>
n
CDB
.
Proof:
29.
Sample answer: The properties of congruent
triangles help land surveyors double check
measurements. Answers should include the
following.
• If each pair of corresponding angles and sides
are congruent, the triangles are congruent by
definition. If two pairs of corresponding sides
and the included angle are congruent, the
triangles are congruent by SAS. If each pair of
corresponding sides are congruent, the triangles
are congruent by SSS.
• Sample answer: Architects also use congruent
triangles when designing buildings.
30.
C; using vertical angles and exterior angles,
a
1
b
5
90. Given this fact, it is impossible for the
other statements to be true.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Angles

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