6.7 Practice

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

MR RP

CD

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

m∠Z

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

m∠2