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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 4 Page 457

Identify congruent sides in the triangles.

m∠ XWZ > m∠ YZW

Practice makes perfect

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

We can see that two sides of △ XWZ are congruent to two sides of △ YZW. However, the third side of △ XWZ is longer than the third side of △ YZW. XW&≅YZ WZ&≅WZ ZX&> WY According to the Converse of the Hinge Theorem, the included angle measure in △ XWZ is greater than the included angle measure in △ YZW. m∠ XWZ> m∠ YZW

Subchapter links

Exercises p.457-462