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Name _______________________________________ Date ___________________ Class __________________ Station 2 Fill in the blanks to complete the theorems. 1. If two angles of a triangle are not congruent, then the longer side is ____________________ the larger angle. 2. The sum of any two side lengths of a triangle is ____________________ than the third side length. 3. If two sides of a triangle are not congruent, then the larger ____________________ is opposite the longer side. 4. Write the angles ofPQR in order from smallest to largest. ________________________________________ 5. Write the sides ofGHI in order from shortest to longest. ________________________________________ For Exercises 11–15, a triangle has side lengths 11, 18, and n. Solve Exercises 11–13 for n. 15. Tell whether the sides can make a triangle for each of these values of n: a. n 3 _______________ b. n 21 _______________ 16. Aaron, Brandon, and Clara sit in class so that they are at the vertices of a triangle. It is 15 feet from Aaron to Brandon, and it is 8 feet from Brandon to Clara. Give the range of possible distances from Aaron to Clara. c. n 35 _______________ ______________________ 6. What values for x work for the diagram to the right. Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry