Republic of the Philippines
Department of Education
Caraga Region
Butuan City Division
East Butuan District II
ANTICALA NATIONAL HIGH SCHOOL
Anticala, Butuan City
MATHEMATICS 8 - 3RD PERIODICAL EXAM
SY. 2022-2023
Name:__________________________________ Grade and Section: _____________________ Score: _________
1. It has a solution set consisting of a region that defines half of the plane.
a. Linear Equality
c. Quadratic Equation
b. Linear Inequality
d. Equation
2. How would you differentiate linear inequalities in two variables from linear equations in two
variables?
a. Linear equations use the equal sign (=). Linear inequalities use inequality signs (>,<, ≥is
greater than or equal to, and ≤is less than or equal to).
b. Linear inequalities use the equal sign (=). Linear equations use greater than or equal to,
and ≤is less than or equal to).
c. Linear equations use the inequal sign.
d. Linear inequalities use equal sign
3. Which of the following is an example of linear inequality?
a. 5x – 4y > 3
c. -2x = 5
b. 4x + 3y = 2
d. x + y = 2
4. When can a graph uses a broken line?
a. When the inequality uses greater than symbol
b. When the inequality uses less than symbol
c. When the inequality uses greater than or equal symbol
d. When the inequality uses equal sign.
5. What would be the graph of the inequality
a.
b.
3
y< x+3?
2
The graph uses a broken line
c. The y-intercept is -3
The test point (0,0) is true
d. The x-intercept is 2
6. Evaluate whether 2x−5y≥−10 satisfies the test point (0,0).
a. Yes
c. Maybe
b. No
d. None of the above
7. What would be the value of x, if y=2, to satisfy the inequality 3x + y< 12.
a. x=4
c. x=6
b. x=5
d. x=2
8. It refers to the variable that is not influenced by any other variables in the study.
a. Dependent
c. Relation
b. Independent
d. Function
9. What do you mean by dependent variable?
a. A dependent variable is the variable that changes as a result of the independent variable
manipulation.
b. A dependent variable is the variable you manipulate or vary in an experimental study to
explore its effects.
c. It is not influenced by any other variables in the study.
d. All of the above
10. What is the independent variable in this study: Effects of Time Spent in Studying to the
Academic Performance of the Students?
a. Academic Performance
c. Time Spent in Studying
b. Extra – curricular Performance
d. Time Spent in playing
11. This refers to the first, or “if” part of a conditional statement.
a. Conclusion
c. Conditional
b. Hypothesis
d. Statement
12. What is the relationship between hypothesis and the conclusion in an if-then statement?
a. They are similar
c. Cause and Effect
b. They are opposite
d. It only implies conclusion
13. Which of the following is the hypothesis of the conditional statement, “If the measure of an
angle is 85֯, then it is an acute angle.”
a. It is an acute angle
c. The measure of an angle is 85֯
b. Acute angle
d. Then the measure is 85֯
14. What would be the conclusion of this given statement: If I will study hard, then
________________________.
a. I will get failing grades
c. I will be noisy
b. I will pass the exam
d. I will be angry.
15. Transform the statement: The triangles are congruent when corresponding parts are
congruent.
a. If the triangles are congruent, then the corresponding parts are congruent
b. If the corresponding parts are congruent, then the triangles are congruent
c. If the triangles have corresponding parts, then they are congruent
d. None of the above
16. Which of the following is an if – then statement
a. If you work overtime, then you’ll be paid time-and-a-half.
b. If 2 divides evenly into, then is an even number.
c. If a triangle is equiangular, then it is equilateral.
d. All equiangular triangles are equilateral.
17. Which of the following is true.
a. If triangles are congruent, then the corresponding angles are congruent
b. If the angle measures below 90֯, then it is an obtuse angle
c. If the angle measures exactly 90֯, then it is an acute angle
d. All statements are true
18. How would you rewrite this statement into an if-then: Eating healthy foods are good for the
body.
a. If you eat healthy foods, then your body will become healthy
b. If your body is healthy, then you will not eat healthy foods
c. If your body is weak, then you should not eat healthy foods.
d. All of the above.
19. How would you arrange the following statement into if-then form?
All equiangular triangles are equilateral.
a. If all triangles are equiangular, then they are quadrilateral
b. All equiangular triangles are equilateral.
c. All equiangular triangles, then they are equilateral
d. If the triangle is equiangular, then it is equilateral
20. This is notated as q→p (if q, then p). The original statements switch positions in the original
“if-then” statement.
a. Inverse
c. Contrapositive
b. Converse
d. Original If-then
21. This statement assumes the opposite of each of the original statements and is notated
∼p→∼q (if not p, then not q.
a. Inverse
c. Contrapositive
b. Converse
d. Original If-then
22. This statement is a combination of the previous two. The positions of p and q of the original
statement are switched, and then the opposite of each is considered: ∼q→∼p (if not q, then
not p.
a. Inverse
c. Contrapositive
b. Converse
d. Original If-then
23. If it is raining, then the grass is wet rewrites into: If the grass is wet, then it is raining. What
statement is this?
a. Inverse
c. Contrapositive
b. Converse
d. Original If -then
24. Which of the following statements is the example of a contrapositive statement?
Original Statement: If all figures are four-sided planes, then figures are rectangles.
a. “If figures are rectangles, then figures are all four-sided planes.”
b. “If figures are NOT all four-sided planes, then they are NOT rectangles.”
c. “If figures are NOT rectangles, then the figures are NOT all four-sided planes.”
d. If all figures are four-sided planes, then figures are rectangles.
25. Which item shows the math statements matched with the correct logic symbols?
a. Conditional Statement: q → p, Converse: q → p, Inverse: ~p → ~q, Contrapositive: ~p → ~q
b. Conditional Statement: p → q, Converse: q → p, Inverse: ~p → ~q, Contrapositive: ~q → ~p
c. Conditional Statement: r → t, Converse: q → p, Inverse: ~t → ~r, Contrapositive: ~q → ~p
d. Conditional Statement: p → q, Converse: q → p, Inverse: p → q, Contrapositive: ~h → ~c
26. What is the inverse statement of the following conditional statement?
If it is snowing, then it is cold.
a. If it is not snowing, then it is cold.
b. If it is not snowing, then it is not cold.
c. If it is cold, then it might be snowing.
d. If it is cold, then it is not warm.
27. Transform the statement: If it is a triangle, then it is a polygon into an inverse statement.
a. If it is not a triangle, then it is not a polygon.
b. If it is not a polygon, then it is not a triangle.
c. If it is a triangle, then it is a polygon.
d. If it is a polygon, it is a triangle.
28. Which undefined terms has a specific position but has no dimension or direction?
a. point
c. plane
b. line
d. angle
29. What undefined term is a one-dimensional figure that has infinite points and extends
indefinitely in opposition direction?
a. point
c. plane
b. line
d. angle
30. What do you call the lines that intersect at a point forming a right angle?
a. diagonals
c. parallel lines
b. line segments
d. perpendicular lines
31. Which of the following represents a plane?
a. tip of a pen
c. top of the table
b. stretched rope
d. corner of a rectangular box
32. An axiomatic system is a set of what?
I. Undefined and defined terms
IV. Doubts
II. Guesses
V. Axioms
III. Proof
VI. Theorems
a. I, II, III
c. I, II, IV, V
b. IV, V, VI
d. I, III, V, VI
33. Which of the following statements is true?
a. An axiomatic system is independent if there are no contradicting axioms or theorems.
b. Consistency is a necessary requirement for an axiomatic system to be logically valid.
c. Absolute consistency of the axiomatic system is established if an abstract model has been
exhibited.
d. In an axiomatic system, every statement, either itself or its negation, is capable of being
proven true or false.
34. A line which passes through the midpoint of segment at right angles.
a. diagonal
c. congruent segments
b. line segment
d. perpendicular bisector
35. How do you call a line perpendicular to a given segment which divides it into two equal line
segment?
a. diagonals
c. congruent segments
b. line segment
d. perpendicular bisector
36. This refers to a part of a line that has two endpoints.
a. Segment
c. Ray
b. Line
d. Point
37.Which of the statements justify a supplementary angle?
a. It has a common side.
c. The sum of two angles is 180°.
b. It has the same measures.
d. Two lines intersect.
38. What undefined term is represented by the edge of a ruler?
a. point
c. plane
b. line
d. angle
39. Which of the following statements best describe a perpendicular line?
a a straight line
c. intersecting lines forming a linear pair
b. intersecting lines
d. intersecting lines forming 4 right angles
For items 12 to 13, consider the following axiom set below:
Axiom 1: There are at least two buildings on a school campus.
Axiom 2: There is exactly one sidewalk between any two buildings.
Axiom 3: Not all the buildings have the same sidewalk between them.
40. What are the undefined terms in given axiom set?
a. building only
c. building and campus
b. sidewalk only
d. building and sidewalk
41. Arrange the sequence of proof to prove that “there are at least two sidewalks on
the school campus.”
I. By Axiom 3, not all buildings have the same sidewalk between them, hence, there must be
another building b3 which does not have S12 between it and b1 or b2.
II. By axiom 1, there are two buildings denoted by b1 and b2.
III. With Axiom 2, there must be a sidewalk between either b1 and b3 or b2 and b3 which is
not S12.
IV. By axiom 2, there is exactly one sidewalk between b1 and b2 named S12.
a. I, II, III, IV
c. III, II, I, IV
b. II, IV, I, III
d. IV, III, II, I
42. Which statement justifies congruent angles?
a. If two lines intersect
c. If it has the same measure
b. If it has a common side
d. If the sum of two angles is 180°
43. Which of the following is a symbol used for congruence?
a. =
c. ≈
b. ≠
d. ≅
44. How many pairs of corresponding congruent angles are there in two congruent triangles?
a. 1
c. 3
b. 2
d. 4
45. Which of the symbols below is used to indicate correspondence?
a. ≅
c. 𝛥
b. ∠
d. ↔
46. Which of the following statements best describes congruent triangles?
I. They are similar.
II. They have the same size.
III. They have the same shape.
IV. They are equilateral triangles.
a. I only
c. III and IV together
b. III only
d. II and III together
47. Which of the following statements best describes the corresponding parts of congruent
triangles?
a. They are not equal.
c. They are supplementary.
b. They are congruent.
d. They are complementary.
For items 48 - 50, consider the figure below.
48. Which segment corresponds to NT?
a. AT
c. CM
b. AC
d. MA
49. Which angle corresponds to ∠𝑇 ?
a. ∠𝐴
c. ∠𝑀
b. ∠𝐶
d. ∠𝑁
50. What conclusion can you make in the figure?
a. 𝛥𝐴𝑁𝑇 ≅ 𝛥𝑀𝐴𝐶
b. 𝛥𝐴𝑁𝑇 ≅ 𝛥𝐶𝐴𝑀
c. 𝛥𝐴𝑀𝐶 ≅ 𝛥𝐴𝑇𝑁
d. 𝛥𝐴𝑀𝐶 ≅ 𝛥𝑇𝐴𝑁
Prepared by:
MYLENE JOY A. TORRALBA
Math Teacher
Checked:
ELEANOR A. MASUL
School Principal