is x greater at 1:00 or 3:00? lesson 5-5 inequalities involving two triangles what part of the clock...
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Is x greater at 1:00 or 3:00?
Lesson 5-5 Inequalities involving two trianglesInequalities involving two trianglesInequalities involving two trianglesInequalities involving two triangles
What part of the clock affects the length of x?
It’s greater at 3:00
The angle between the hour hand and minute hand
Hinge Theorem
When you close a door, the anglebetween the door and the frame
(at the hinge )gets smaller.
If two sides of one triangle are congruent to two sides of another triangle,
and the included angle of the first is larger than the included angle of the second,
then the third side of the first is longer than the third side of the second.
V
X
W
88
R
S
T
35XW XW>
Lesson 5-5
Converse Of Hinge Theorem
If two sides of one triangle are congruent to two sides of another triangle,
and the third side of the first is longer than the third side of the second,
then the included angle of the first is larger than the included angle of the
second.
D
EF
9
A
C B
12C F>
Lesson 5-5
Using Hinge Theorem and its ConverseLesson 5-5
Using Hinge Theorem and its Converse
What inequality relates SK and YU?
SK YU>
Lesson 5-5
Using Hinge Theorem and its Converse
What inequality relates LN and OQ?
LN OQ>
Lesson 5-5
Using Hinge Theorem and its Converse
Complete the statement with < or > Explain
CBD ____ ADB mm >
Lesson 5-5
A
D
B
C
34
33
Using Hinge Theorem and its ConverseLesson 5-5
AB FD>
10)
Using Hinge Theorem and its ConverseLesson 5-5
BDC FDB<
11)
Using Hinge Theorem and its ConverseLesson 5-5
FBA DBF>
12)
Using Hinge Theorem and its ConverseLesson 5-5
AD DC>
13)
Using Hinge Theorem and its ConverseLesson 5-5
<
14)
OC OA
Using Hinge Theorem and its ConverseLesson 5-5
>
15)
AOD AOB
Using Hinge Theorem and its ConverseLesson 5-5
1023 x
123 x
+2 +2
3 3
4x
16)
Using Hinge Theorem and its ConverseLesson 5-5
1008205 xx
100203 x
-8x-8x
1203 x
18)
- 20
40x
-3 -3
A
B
M
C
12
2051 xmGiven 10082 xm
BCAC
- 20
1203 x 01008 x
1008 x
5.12x
+ 100
8 8
+ 100
BONUSLesson 5-5
20)
D
B
CA
2
1
CDAB Given
ADBC Prove
Statements Reasons
CDAB
ADBC given
21 mm Exterior angle theorem
ADBC Hinge theorem
Homework
Page 271
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Lesson 5-5