geometry second periodical 2009-2010

8/22/2019 Geometry Second Periodical 2009-2010

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GENERAL SANTOS HOPE CHRISTIAN SCHOOL

Block 8, Dadiangas Heights, Gen. Santos City

SECOND PERIODICAL EXAMINATIONGEOMETRY

THIRD YEAR A and BSY: 2009 2010

NAME : ___________________________ SCORE: __________ROGELIO B. PONTEJO DATED: __________

I. MULTIPLE CHOICE: Choose the correct answer. Write the letter of yourchoice in the space provided before each item.

________ 1. If the triangles are

congruent, what else must be true?

A. B. C. D. A and C

________ 2. The point of congruency of the three perpendicular bisectors of a righttriangle is ______________ the triangle.

A. always inside C. always onB. always outside D. sometimes inside

________ 3. In the diagram, C is the centroid of .Find CX.

x

VU

Y

Z W

A. 3 B. 6 C. 9 D. 8 E. 12

________4. Use the diagram in Exercise 3. Find VZ

A.

B. 4 C. 8 D. 12 E. 16

_______5. In the diagram in Exercise 3, UY is ______.

A. an altitude C. a medianB. a perpendicular bisector D. a median

C


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_______ 6. What are the values of x and y?

2x ( 5y 1)

(4y + 7)3y + 6

A. x = 12, y = 6 C. x = 8, y = 15 E. x = 15 , y = 8B. x = 6 , y = 12 D. x = 4, y = 8

______7. Three coordinate points of a parallelogram are (2,1), (4,4), and (7,4). Find thefourth vertex.

A. (5, 1) C. (5, 4) E. (1,7)B. (2, 7) D. (5, 7)

_______ 8. What special type of quadrilateral has the vertices A(6,3), B(2,5), C(3,2),and D(5,6)

A. Square C. Rhombus E. KiteB. Rectangle D. Trapezoid

_______9. Find the value of x

(5x + 28)0

950

(3x+10)0

750

A. 15 C. 18 E. 21B. 16 D. 19

________10. is isosceles with base DF. If DE = (2x + 5) cm, EF = (3x 1) cmand DF = (2x + 3) cm . Find the perimeter of

A. 47 B. 48 C. 49 D. 50

II. TRUE OR FALSE. Write TRUE if the statement is correct and FALSE ifotherwise.

_______ 11. If three sides of one triangle are congruent to three sides of anothertriangle, then the two triangles are congruent.

_______ 12. If two angles and the included side of one triangle are congruent to twoangles and the included side of another triangle, then the two triangles arecongruent.

_______13. If a point lies on the bisector of an angle, then the point is equidistant fromthe sides of the angle.

_______14. If two sides of a triangle are congruent, then the angles opposite thosesides are congruent.


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_______15. If two angles of a triangle are congruent, then the sides opposite those

angles are congruent.

_______16. The measure of an exterior angle of a triangle is greater than the measureof either remote interior angle.

_______17. If two sides of a triangle are unequal, then the angles opposite them areunequal and the larger angle is opposite the longer side.

_______18. The perpendicular segment from a point to a line is the shortest segmentfrom the point to the line.

_______ 19. The diagonals of a parallelogram bisects each other.

______20. Consecutive angles of a parallelogram are supplementary.

______21. The diagonals of a rhombus are congruent.

______22. The median to the hypotenuse of a right triangle is half as long as thehypotenuse.

______ 23. If the base angles of a trapezoid are congruent, then the trapezoid isisosceles.

______24. The diagonals of an isosceles trapezoid are congruent.

______25. The median of a trapezoid is parallel to the bases and has a length equal tohalf the sum of the lengths of the bases.

III. IDENTIFICATION:

A. Name the additional equal corresponding part(s) needed to prove thetriangles in the figures congruent by the indicated postulate or theorem.

Example:

__ ______ by AAS

_________ 26. by HL __________ 27. by SAS


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_________ 28. by SSS __________ 29. by ASA

_________30. by LL ________31. by LA

________32. by ASA __________33. by AAS

B. By what method would each of the following triangles be proven congruent?

Example:

_____SAS__________ Answer

___________ 34. . _____________35

___________36. ____________ 37.


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__________ 38. ` . _____________39.

IV. PROBLEM SOLVING.

40 42. In the figure below. Compute the length of the broken linesegment, HJ,joiningthe midpoints of two sides of the triangle.

Note: Use the trapezoid PQRS below to answer items 4344, 4546, 4748and 4950.

PQRS is a trapezoid with median TU.

Q R

T U

P S

43 44. If QR = 15 cm and PS = 11 cm, then TU = ? ______________________

45

46. If TU = 14 cm and PS = 10 cm, then QR = _______________________

Solution here:


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47 48. If TU = 18 cm QR = ( 5n 9) cm, and

PS = (2n + 3) cm, find n; QR, and PS

49 50. If TU = (2y + 4) cm QR = (5y + 2) cm, andPS = (-3y + 8) cm, find y; TU, QR and PS

E

FD

A B C

51 52. Given in the figure 0.Find the measure of


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53 55. If LO is a median of. Find LM.

56 58. Give the range of the possible values for x

59 61.


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62 64. ( ) ( ) . Find the perimeter of

B

D E

A CF

65 67. .Find

A B C

G F E D

68 70. Solve for x and y. Refer to the figure below.

E

(3y 5) (2y + 7)

A (x+6) B C (2x+2) D


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PROVING:

71 77. Supply the appropriate reason for every statement in the table to Prove that

AGiven: AC is the median of

Prove that:

B DC

PROOF:

STATEMENT REASONS

1. AC is the median 71.2. C is the midpoint of BD 72.

3. 73.4. 74.5. 75.6. 76.7. 77.

78 80. Given that: BProve

A CPROOF:

STATEMENT REASON

1. 78.

2. 79.

3. 80.

4. Conclusion

One of the most important stages of any

learning experience is for the trainee to

constantly keep in mind what it is they are not

only to learn but they must have perception of

knowing what this skill will do for them

GOD BLESS


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geometry second periodical 2009-2010

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