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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Inequalities in Two Triangles

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Exercise 10 Page 458

Identify congruent sides in the triangles.

m∠ DGE > m∠ BAC

Practice makes perfect

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

We can see that two sides of △ DGE are congruent to two sides of △ BAC. However, the third side of △ DGE is longer than the third side of △ BAC. DG &≅ BA GE &≅ AC ED&> BC According to the Converse of the Hinge Theorem, the included angle measure in △ DGE is greater than the included angle measure in △ BAC. m∠ DGE> m∠ BAC

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Exercises p.457-462