1. Multiple Choice. Choose the letter of the correct answer. If there is no correct answer from the choices, write E. Write your answer on the SPACE PROVIDED. (1 point each) 1. Which statement is not correct? a. j2+k2=m2 c. mak2=jz b. maj2=k2 d. k2+m?=j2 2. Which of the following triangles with the given measures of sides is a right triangle? a. 3, 5, 7 b. 5, 12, 13 c. 5,5,8 d. 2,4,5 3. It is the longest side of a right triangle. a. hypotenuse b. leg c. midline d. altitude 4. The legs of a right triangle are 4 and 7. Find the hypotenuse a. 2V7 b. V28 c. V33 d. v65 5. The hypotenuse and one leg of a right triangle are 61 and 11 respectively. Find the other leg. a. 36 b. 5v2 c. 60 d. V3842 6. What theorem will you use to find the diagonal of a 10 cm by 8 cm rectangle? A. Right Triangle Proportionality Theorem B. Triangle Proportionality Theorem C. Triangle Angle Bisector Theorem D. Pythagorean Theorem 7. In a 30' -60 -90* triangle. If the hypotenuse measures 8 cm, what is the length of the longer leg? a. 4 b. 4v3 c. 8V3 d. 168. What is the perimeter of 30-60-90 triangle whose shorter leg is 5cm long? A. 5V3 cm B. 15 + 5V3 cm C. 15V3 cm D. 10 +10v3 cm 9. In 45-45-90 triangle, the hypotenuse is times as long as any of its legs. A. V2 B. V3 C. 2 D. V2/2 10 The hypotenuse of an 45-45-90 triangle is 6, What is the length of its leg? a. 61/2 b. 4v2 c. 3V2 d. V2 11. In a 30-60-90 triangle, what is the length of the shorter leg if the hypotenuse measures 6 cm? a. 3 cm b. 3 cm c. 9 cm d. 12 cm 12. In a 30-60-90 triangle, what is the length of the shorter leg if the longer leg measures 10v3? a. 5 b. 5v3 c. 10 d. 10V3/3 13. A 150 cm tall man cast a shadow of 350 cm. If at the same time, the shadow of a tree is 550cm, what is the approximate height of the tree? a. 236 cm b. 263 cm c. 1238cm d. 1283 cm 14. When the altitude is drawn to the hypotenuse of a right triangle, How many pairs of similar triangles are formed? a. one b. two c. three d. four15-20 Triangle ABC is a right triangle. B AD is an altitude. If BC= 10 cm and CD=4 cm 15. Find AD. AT TL D C a. 15 b. 2V10 apic. 216 3 d. 24 16. Find the measure of AC? a. 14 b. 2V10 c. 2V5 d. 40 17. Find the length of AB a. 2v5 b. 2V10 c. V60 d: 216 18 If AD=12 and CD=4, Find the length of CB. a. 28 b. 36 c. 40 d. 48 19. If AD is the altitude of triangle ABC, then it is the geometric mean between what segments? a. AC & AB b. CD & DB C. CB & DB d. AC & CB 20. Name the triangle that is missing in the statement: ACAB ~ A ADB ~ a. ABAD b. AADC c. ACDA d. DACIl. Solve completely and accurately. Show your complete solution. 1. Two vertical poles, 20 meters and 30 meters high are 60 meters apart. A rope is to be attached from the top of one pole to a point on the ground halfway between the poles, and then to the top of the other pole. How long a rope is needed? Solution: 39 105.03 03 61