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HW PreAP Unit 5 Review due Thurs, Dec.2, 20161. Determine the value of x in the figure shown

below. TEKS 8.8(D)

2. In the figure shown, identify one pair of angles that are congruent. TEKS 8.8(D)

3. In the figure below, m1 = (2x)° and m2 = (3x – 5)°. What statement could be used to show that x = 19? TEKS 8.8(D)

4. Heather drew a right triangle with chalk on the side of her house. The hypotenuse of her triangle is 40 inches and one of the legs is 15 inches. What is the length of the third side? Round to the nearest tenth. TEKS 8.7(C)

5. In the figure shown, determine m8 if m4 = 52°. TEKS 8.8(D)

6. Use the diagram at the right. Write and solve an equation to determine how tall the flagpole is. Round to the nearest tenth. TEKS 8.7(C)

Course 3 • Chapter 5 Triangles and the Pythagorean Theorem

PERIOD NAME DATE

Chapter 5 Test, Form 2BDetermine the value of x in each triangle. TEKS 8.8(D)

7. 8.

Determine the perimeter of each triangle. TEKS 8.7(C)9. 10.

11. The length of three sides of a triangle are 10 centimeters, 11 centimeters, and 13 centimeters. Determine whether the triagle is a right triangle. Justify your response. TEKS 8.7(C)

12. State three measures that could be the side lengths of a right triangle. Justify your answer. TEKS 8.7(C)

13. Determine the distance between points M(3, 2) and N(2, –4). Round to the nearest tenth if necessary. TEKS 8.7(D)

14. Kitty made a poster in the shape of a rectangle. Its dimensions are 4 feet by 7 feet. Find the length of the diagonal of the poster. Round your answer to the nearest tenth if necessary. TEKS 8.7(C)

Use a problem-solving model to solve each problem.

15. If m1 = (2x + 45)° and m3 = (3x – 20)°, what is m2? TEKS 8.8(D)

16. Determine the value of a in the triangle shown below. TEKS 8.8(D)

Course 3 • Chapter 5 Triangles and the Pythagorean Theorem

SCORE

PERIOD NAME DATE