

5.5 Hinge Theorem
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
+3
Standards-aligned
Rachel Courtney
Used 4+ times
FREE Resource
4 Slides • 11 Questions
1
Hinge Theorem
By Rachel Courtney
2
Multiple Choice
SAS congruence is how we prove triangles congruent. This happens when...
two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.
two sides and an angle of one triangle are congruent to two sides and an angle of another triangle.
two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.
two angles and a side of one triangle are congruent to two angles and a side of another triangle.
3
Multiple Choice
A
B
C
D
4
What happens if...
the angles are not congruent but the two sides are?
5
Multiple Choice
Two sides of each triangle in the circle are formed
from the radii of the circle. Compare EF and FG.
EF = FG
EF < FG
EF > FG
Not enough information is given.
6
Multiple Choice
BC _____ EF
<
>
=
No conclusion can be made.
7
Multiple Choice
Compare QT and ST
QT < ST
QT > ST
QT = ST
QT ≅ ST
8
Multiple Choice
Compare RT and VX
RT=VX
RT<VX
RT>VX
RT ≅ VX
9
THE HINGE THEOREM
If two sides of a 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 triangle is longer than the third side of the second triangle.
10
CONVERSE OF THE HINGE THEOREM
If two sides of a 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 in the first triangle is greater than the included angle in the second triangle.
11
Multiple Choice
What are the possible values for x?
x < 16
4 < x < 16
x < 40
4 < x < 40
12
Multiple Choice
Find the range of possible values for x.
2 <x<6
6<x<15 31
6<x<22
2<x<22
13
Multiple Choice
Range of Possible Values for: x
8>x>26
7<x<25
8<x<26
7>x>25
14
Multiple Choice
Find the range of possible values for x
x>7
−317<x>7
−317<x<7
x<7
15
Multiple Choice
Find the range of possible values of x.
−20<x<21
8<x<37
34<x<37
8<x<24
Hinge Theorem
By Rachel Courtney
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