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McGraw Hill Integrated II, 2012 View details

6. Inequalities in Two Triangles

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Exercise 13 Page 458

Identify congruent sides in the triangles.

m∠ TUW > m∠ VUW

Practice makes perfect

Let's copy the diagram and mark the angles we are asked to compare.

We can see that two sides of △ TUW are congruent to two sides of △ VUW However, the third side of △ TUW is longer than the third side of △ VUW. TU &≅ VU UW &≅ UW WT&> WV By the Converse of the Hinge Theorem, the included angle measure in △ TUW is greater than the included angle measure in △ VUW. m∠ TUW> m∠ VUW