MAMBUSAO NATIONAL HIGH SCHOOL
Tumalalud, Mambusao, Capiz
PRE - FINAL EXAMINATION IN MATHEMATICS 9
S.Y. 2015 - 2016
Name:________________________Year & Section______________________Score_____________
KNOWLEDGE
TRUE OR FALSE. Directions: Read each statement below carefully. Place a T on the line if you think the statement is
TRUE. Place an F on the line if you think the statement is FALSE.
______1. All squares are always similar.
______2. Pythagorean theorem states that the sum of two legs is equal to the square of hypotenuse.
______3. If the two corresponding angles of two triangles are equal, then the triangles are similar.
______4. All right triangles are similar.
______5. 5: 6 = 6: 5 describe a proportion.
______6. Similar triangles are triangles whose corresponding <’s are congruent and corresponding sides are proportional.
______7. In a 450 – 450 - 900 triangle, the hypotenuse is half as long as each leg.
______8. Sin θ = opposite/ hypotenuse.
______9. The reciprocal of cosine function is secant function.
______10. All similar figures are congruent figures.
MATHING TYPE. Directions: On the line next to the trigonometric function in column A, place the letter of the
equivalent ratio in column B.
Column A
Column B
_______ 11. Cosine A. opposite/ adjacent
_______12. Secant B. adjacent/ hypotenuse
_______13. Tangent C. hypotenuse/ adjacent
_______14. Sine D. hypotenuse/ opposite
_______15. Cosecant E. adjacent/ opposite
F. opposite/ hypotenuse
PROCESS/ SKILLS
IDENTIFICATION. Directions: Determine whether the triangles are similar or not. If similar cite the similarity theorem
to justify your answer. Write your answer on the space provided.
16. 17.
__________ ___________
__________ ___________
18. 19.
_________
____________
________
____________
20.
_____________
_____________
SOLVING. General Direction: Solve the following problem.
A. Given the lengths of two sides of a right triangle. Find the length of the third side. If in decimal form, round
off to the nearest hundredths.
a b c
21. 7 24
22.
4 20
23.
7 9
24.
6 3 12
25. 2 5
B. Find the value of x in each of the following:
26. 27. 28.
60 60 60
x 30
10
6
30 30
30
x x
x 45
29. 30.
x
12
45 45
3 45
C. Let a, b and c be the length of the sides of a right triangle as indicated in the figure. Express the following
functions in terms of a,b and c.
Y
c
X
Z b
31. sin X = _____________ 33. Cos X = _______________
32. tan Y = _____________ 34. Cot X = _______________
35. csc Y = _____________
MATCHING
Directions: Match the correct side or angle of PQR to each of the following definitions, descriptions, or
expressions. A term may be used more than once or not at all.
a. the Pythagorean theorem f.
b. p g.
c. 0 h. 1
d. i. –1
e. q j.
_____36. the side opposite _____37.
_____38. the side adjacent to _____39. tan
_____40. sin
UNDERSTANDING
MULTIPLE CHOICE. DIRECTIONS: Encircle the letter of the choice that you think best answers the question.
41. Evaluate cos 11°, to four decimal places.
a. 0.9816 c. 0.1908
b. 0.1944 d. 0.0044
42. In , cm and cm. Determine the tangent ratio of A, to the nearest thousandth.
a. 0.520 c. 1.375
b. 0.728 d. 1.536
43. Determine the measure of , to the nearest degree.
a. 19° c. 21°
b. 20° d. 22°
44. Determine the correct formula for the sine ratio of .
a. c.
b. d.
45. In , m, , and . Determine the measure of .
a. 42° c. 90°
b. 52° d. 128°
46. Which statement is incorrect?
a. You can solve for the unknown side in any triangle, if you know the lengths of the other
two sides, by using the Pythagorean theorem.
b. The hypotenuse is the longest side in a right triangle.
c. The hypotenuse is always opposite the 90° angle in a right triangle.
d. The Pythagorean theorem applies to all right triangles.
47 – 50. Assuming the two triangles are similar, find the tower's height from the given measurements below.
