THIRD QUARTER EXAMINATION TEST
Name: _______________________________
Date: _________
Grade level & Section: __________________
Rating: ________
General Instruction: Thoroughly read all instructions and questions before answering. Use separate
sheets of paper for your solutions.
I.
Identification
Direction: Provide what is ask on the given questions. Write your answers on the space provided.
__________ 1. What is a quadrilateral with only one pair of opposite sides are parallel?
__________ 2. What is the number n of the radical sign which gives the order of the radical?
__________ 3. What are those expressions of the same order and having the same radicands?
__________ 4. What is a quadrilateral in which two pairs of opposite sides are parallel?
__________ 5. What is a parallelogram with four congruent sides?
__________ 6. What are the equations containing radicals with variables in the radicand?
__________ 7. What kind of theorem that explains the relationship between the three sides of
a right-angled triangle?
__________ 8. What is the general formula of a Pythagorean Theorem?
__________ 9. What is a quadrilateral in which two consecutive sides are congruent?
__________ 10. What is a parallelogram with four congruent sides and four congruent
angles?
II.
True or False
Direction: Write "T" if the given expression is true and "F" if it is false. Then, provide the correct
answer to make the false expression true.
_________ 1. 2𝑥 3 − 16 = 0
𝑥3 − 8 = 0
𝑥3 = 8
3
𝑥 = √8
𝑥=2
__________ 2. √3𝑥 + 1=22
3𝑥 + 1 = 4
3𝑥 = 4 − 1
3𝑥 = 3
𝑥=1
__________3. √8𝑥 ∙ √4𝑥 ∙ √3𝑥
= 2√2𝑥 ∙ √𝑥 ∙ √3𝑥
= 4√2𝑥 3
__________4. 3√5𝑦 ∙ √6𝑦 ∙ √12𝑦
= 3√5𝑦 ∙ √6𝑦 ∙ 2√3𝑦
__________5. 8√2 − 7√2
= 2√2
__________6. −√7 + 2√7
=√7
__________7.
__________9.
1
1
√2
√2
= 2 ∙ 2= 2
√2
√
√
√50𝑥 4 𝑦 2
√2𝑥 2 𝑦
= √25𝑥 2 𝑦
= 6√90𝑦 3
= 18𝑦√10𝑦
5
5
√
√
√2
√
__________8. 2 2 = 2 2 ∙ 2 2 =
__________10.
√18𝑎 3 𝑏5
√2𝑎𝑏
= √9𝑎2 𝑏 3
= 3𝑎𝑏√𝑏
5√2
8
III.
MULTIPLE CHOICE
Direction: Read and answer each question carefully. Encircle the letter of the correct answer.
Use the parallelogram below to answer the questions 1-5.
1. Which of the following pairs of sides are congruent?
a. ̅̅̅̅
𝐵𝐴 𝑎𝑛𝑑 ̅̅̅̅
𝐴𝑅
c. ̅̅̅̅
𝐴𝑅 𝑎𝑛𝑑 ̅̅̅̅
𝐵𝐸
̅̅̅̅
̅̅̅̅ 𝑎𝑛𝑑 ̅̅̅̅
b. 𝐵𝑅
𝐴𝐸
d. ̅̅̅̅
𝐸𝐵 𝑎𝑛𝑑 𝐵𝐴
2. Find the value of x if ̅̅̅̅
𝐵𝐴 = 2𝑥 and ̅̅̅̅
𝐸𝑅 = 100𝑐𝑚.
a. 100 cm
c. 20 cm
b. 50 cm
d. 25 cm
̅̅̅̅ = 75 𝑐𝑚, find the value of y.
3. If ̅̅̅̅
𝐵𝐸 = 5𝑦 + 25 𝑐𝑚 and 𝐴𝑅
a. 75
c. 25
b. 50
d. 10
4. If ∠𝐵 and ∠𝐸 are consecutive angles. Write the equation that describes the relationship between
∠𝐵 and ∠𝐸.
a. 𝑚∠𝐵 + 𝑚∠𝐸 = 90°
c. 𝑚∠𝐵 + 𝑚∠𝐸 = 180°
b. 𝑚∠𝐵 = 𝑚∠𝐸
d. 𝑚∠𝐵 + 𝑚∠𝐸 = 60°
5. If the 𝑚∠𝐵 is twice the 𝑚∠𝐴, what is the 𝑚∠𝐸?
a. 30°
c. 90°
b. 60°
d. 120°
Use the parallelogram below to answer the questions 6-10.
6. Name the diagonals.
a. ̅̅̅̅
𝐵𝐾 𝑎𝑛𝑑 ̅̅̅̅
𝐸𝐴
c. ̅̅̅̅
𝐵𝑅 𝑎𝑛𝑑 ̅̅̅̅
𝐴𝐾
̅̅̅̅
̅̅̅̅ 𝑎𝑛𝑑 ̅̅̅̅
̅̅̅̅ 𝑎𝑛𝑑 𝐵𝐴
b. 𝐵𝑅
𝐸𝐴
d. 𝐸𝑅
̅̅̅̅ if the measure of 𝐵𝐾
̅̅̅̅ is 30 cm.
7. Find 𝐵𝑅
a. 10 cm
c. 30 cm
b. 15 cm
d. 60 cm
8. What is the measure of ̅̅̅̅
𝐸𝐾 if ̅̅̅̅
𝐸𝐴 = 46 𝑚?
a. 13 m
c. 40 m
b. 23 m
d. 43 m
9. Which of the following statements is true?
a. ̅̅̅̅
𝐵𝐾 = 2 ̅̅̅̅
𝐾𝑅
c. ̅̅̅̅
𝐸𝐴 = 2 ̅̅̅̅
𝐴𝐾
1
1
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
b. 𝐵𝑅 = 𝐵𝐾
d. 𝐸𝐴 = 𝐴𝐾
2
2
̅̅̅̅
̅̅̅̅
10. If 𝐸𝐾 = 4𝑥 + 12 𝑐𝑚, 𝐾𝐴 = 2𝑥 + 40 𝑐𝑚, what is the value of x?
a. 28
c. 12
b. 14
d. 7
11. How do you describe any opposite angles in a parallelogram?
a. They are congruent.
b. They are supplementary.
c. They are complementary.
d. All of the above.
12. What can you say about two consecutive angles in a parallelogram?
a. They are always congruent.
b. They are always supplementary.
c. They are sometimes complementary.
d. They are never congruent.
13. Which of the following conditions is not sufficient to prove that a quadrilateral is a
parallelogram?
a. Two pairs of sides are parallel.
b. Two pairs of opposite sides are congruent.
c. Two angles are supplementary.
d. Two diagonals bisect each other.
14. Which of the following diagonals that do not bisect each other?
a. Square
b. Rhombus
c. Rectangle
d. Trapezoid
15. Determine whether the figure at the right is a parallelogram. If so, state the reason.
a. Yes, it is a quadrilateral with 2 pairs of opposite sides that are congruent.
b. Yes, it is a quadrilateral with 2 pairs of opposite angles that are
congruent.
c. Yes, it is a quadrilateral with diagonals that bisect each other.
d. It is not a parallelogram.
16. Which statement below can be used to prove that quadrilateral EFGH is a
parallelogram?
a. ̅̅̅̅
𝐸𝐺 𝑎𝑛𝑑 ̅̅̅̅
𝐹𝐻 bisect each other.
̅̅̅̅ are congruent.
b. ̅̅̅̅
𝐸𝐺 𝑎𝑛𝑑 𝐻𝐹
̅̅̅̅
̅̅̅̅
c. 𝐸𝐹 𝑎𝑛𝑑 𝐹𝐺 are congruent.
d. ̅̅̅̅
𝐸𝐺 𝑎𝑛𝑑 ̅̅̅̅
𝐷𝐹 are congruent.
17. Given 𝑚∠𝐻𝐸𝐹 = 100°. What must be 𝑚∠𝐹𝐺𝐻 to prove the quadrilateral EFGH a
parallelogram?
a. 20
b. 80
c. 90
d. 100
18. Determine the figure is a parallelogram or not. If so, state the reason.
a. Yes, it is quadrilateral with 2 pairs of opposite sides that are congruent.
b. Yes, it is quadrilateral with any two consecutive angles that are supplementary.
c. Yes, it is quadrilateral with only one pairs of opposite sides that is parallel and congruent.
d. It is not a parallelogram.
19. Which polygon is not a quadrilateral?
a.
b.
c.
d.
Figure 1
Figure 2
Figure 3
Figure 4
20. Every parallelogram has _____ sides.
a. 2 b. 4
c. 6
d. 8
Use the figure (a) below to answer the questions 21-23.
figure (a)
21. If the hypotenuse is 14√2, what is the leg?
a. 10
b. 11
c. 12 d. 14
22. If both legs are 4, find the hypotenuse.
a. 2√2
b. 4√2
c. √2
d. 5√2
23. Both legs are 15, find the hypotenuse.
a. 2√2
b. 12√2
c. 4√2
d. 15√2
Use the figure (b) below to answer the questions 24-25.
24. If the long leg is 9√3, find the short leg and hypotenuse.
a. Short leg is 9 and the hypotenuse is 6.
b. Short leg is 6 and the hypotenuse is 6.
c. Short leg is 6 and the hypotenuse is 9.
d. Short leg is 9 and the hypotenuse is 9.
25. If the short leg is 4, find the long leg and hypotenuse.
a. Long leg is 4√3 and the hypotenuse is 2√4.
b. Long leg is 4√3 and the hypotenuse is 3√4.
c. Long leg is 4√3 and the hypotenuse is 2√3.
d. Long leg is 4√3 and the hypotenuse is 4.
IV.
ENUMERATION
Direction: Enumerate the 5 conditions which guarantee that a quadrilateral is a parallelogram.
1. _________________________________________________
_________________________________________________
2. _________________________________________________
_________________________________________________
3. _________________________________________________
_________________________________________________
4. _________________________________________________
_________________________________________________
5. _________________________________________________
_________________________________________________
Best of luck!