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6.7 Practice

Last updated over 1 year ago
10 questions
Hinge Theorem
1
Use the Hinge Theorem to compare the lengths of the following segments based on the given angles in the diagram:
MR __________ RP
1
Use the Hinge Theorem to compare the lengths of the following segments based on the given angles in the diagram:










AD __________ CD
1
Use the Hinge Theorem to compare the lengths of the following segments based on the given angles in the diagram:


Here m∠ABC is less than m∠DBE.
AC __________ DE
Converse of the Hinge Theorem
1
Use the Converse of the Hinge Theorem to compare the measures of the following angles based on the given sides in the diagram:
m∠C __________ m∠Z
1
Use the Converse of the Hinge Theorem to compare the measures of the following angles based on the given sides in the diagram:

m∠XYW __________ m∠WYZ
1
Use the Converse of the Hinge Theorem to compare the measures of the following angles based on the given sides in the diagram:

Here BC > CD.
m∠1 __________ m∠2
Finding values of X using the Hinge Theorem and its converse.
1
Determine the range of values for x.
The value of x is greater than _______.
2
Determine the range of values for x.


The value of x is between _______ and _______ .
2
Determine the range of values for x.


The value of x is between _______ and _______ .
Application
2