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NAME _____________________________________________ DATE ____________________________ PERIOD _____________ PreAP HW due Thurs. Nov. 19, 2015 1. Determine the value of x in the figure shown below. ____________________________________ 2. In the figure shown, identify one pair of angles that is not congruent. ____________________________________ 3. In the figure below, m∠ 1 = x° and m∠ 2 = (x – 4)°. What statement could be used to show that x = 47? _________________________________________________________________ 4. Rini used a stick to draw a right triangle in the ground. The hypotenuse of her triangle is 24 inches and one of the legs is 12 inches. What is the length of the third side? Round to the nearest tenth. _________________________________________________________ 5. In the figure shown, determine m∠ 6 if m∠ 2 = 75°. ___________________________________________________________ 6. Use the diagram at the right. Write and solve an equation to determine how far above Jorge’s head the balloon is in the air. Round to the nearest tenth. _____________________________________________ Course 3 • Chapter 5 Triangles and the Pythagorean Theorem 53 NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Determine the value of x in each triangle. 7. 8. __________________________________ __________________________________ Determine the perimeter of each triangle. 9. 10. __________________________________ __________________________________ 11. The length of three sides of a triangle are 7 centimeters, 9 centimeters, and 11 centimeters. Determine whether the triangle is a right triangle. Justify your response. _______________________________________ _________________________________________________________________________________________ 12. Maude’s living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet. Find the length of the diagonal of the living room. Round your answer to the nearest tenth if necessary. __________________________________________________________________________________ Use a problem-solving model to solve each problem. 13. If m∠ 1 = (x + 70)° and m∠ 2= (5x – 54)°, what is m∠ 3? _______________ 14. What is the value of a in the right triangle shown below? 54 Course 3 • Chapter 5 Triangles and the Pythagorean Theorem