Chapter 5 Review

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 5 Review 1. Determine the value of x in the figure shown below.

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2. In the figure shown, identify one pair of angles that is not congruent.

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3. Determine the value of x in the triangle shown below.

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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.

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5. In the figure shown, determine m∠ 7 if m∠ 2 = 75°.

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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.

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Course 3 • Chapter 5 Triangles and the Pythagorean Theorem

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NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 5 Review Determine the value of x in each triangle. 7.

8.

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Determine the perimeter of each triangle. 9.

10.

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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. State three measures that could be the side lengths of a right triangle. Justify your answer. _________________________________________________________________________________ 13. Determine the distance between points M(–4, 6) and N(10, –5). Round to the nearest tenth if necessary. _________________________________________________________________________________ 14. 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. 15. What are the values of x and y?

16. What is the value of a in the right triangle shown below?

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Course 3 • Chapter 5 Triangles and the Pythagorean Theorem

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Course 3 • Chapter 5 Triangles and the Pythagorean Theorem

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