Republic of the Philippines

DEPARTMENT OF EDUCATION
Region VII, Central Visayas
DIVISION OF CEBU PROVINCE
District of Minglanilla I
GUINDARUHAN NATIONAL HIGH SCHOOL
Guindarohan, Minglanilla, Cebu

FOURTH QUARTER SUMMATIVE TEST IN MATH 8

S.Y. 2020 - 2021

Name: __________________________________________________ Section: _________________

Date: ____________ ____________________ Score: _______________

MULTIPLE CHOICE:
DIRECTIONS: Read the following items carefully and write the letter of the correct answer
on a separate answer sheet.

1.What theorem states that “The measure of an exterior angle of a triangle is greater than the measure of
either interior angle”?
A.Triangle inequality theorem B.Side angle inequality theorem
C.Angle side inequality theorem D.Exterior angle inequality theorem

2.Which of the following three numbers below cannot form the sides of a triangle?
A.4,7,9 B.6, 6, 14 C.8, 8, 8 D.9, 4, 5
3.How many triangles exist with 3cm, 5 cm, and 10 cm side lengths?
A.0 B.1 C.2 D.3

4. . If two angles of a triangle are unequal, then the sides opposite them are _______
A.always equal C.always unequal
B.sometimes unequal D.cannot be determined

5. Which phrase would complete the idea?

One triangle inequality theorem states that in a triangle with unequal side lengths, _____
A.the shortest side is opposite to the smallest angle.
B.the smallest angle is opposite to the longest side.
C.the biggest angle is adjacent to the longest side.
D.the longest side is adjacent to the shorter side.

6. If two sides of a triangle are congruent to two sides of another triangle, the included
angle of the two sides of the first triangle is larger than the included angle in the
second triangle, then ______. Which phrase completes the idea?

A.The third sides of the two triangles are equal.

B.The length of the third side of both triangles cannot be determined.
C.The third side of the second is shorter than the third side of the first.
D.The third side of the first triangle is shorter than the third side of the second.

7. In a triangle, two sides measure 14 and 15. Which number CANNOT be the length of
the third side?
A.10 B.15 C.20 D.30

8. Supposing a 260- meter fencing material is to be used to enclose a triangle field where goats
are
housed, which could NOT be possible dimensions of the field?
A.70, 70, 120 B.40, 80, 140 C. 70, 80, 110 D.40, 100, 120
9. Two lines are parallel if they are coplanar and they do not __________.
Aa. aligned Bb. Intersect Cc. parallel Dd. perpendicular

10. These are pairs of non-adjacent interior angles on the opposite side of a transversal.
Aa. Alternate exterior angle Cc. corresponding angles
Bb. alternate interior angle Dd. Vertical angles

11. Use the figure below to answer numbers 11 to 15.

Provided that line1 and line 2 are parallel is cut by a transversal, line 3.

11.Which of the following is congruent to ∠𝐴?

Aa. ∠𝐻 Bb. ∠𝐿 Cc. ∠𝑁 Dd. All of these

12. Which of the following is a pair of corresponding angles?

Aa. ∠𝐴 & ∠𝑀 Bb. ∠𝐴 & ∠𝐿 Cc. ∠𝐴 & ∠𝐻 .Dd. ∠𝐴 & ∠𝑁

13. If measure of ∠𝐴 = 400, how many angles measure 400?

Aa. 1 Bb. 2 Cc. 3 Dd. 4

14. Which of the lines is a transversal?

Aa. Line 1 Bb. line 2 Cc. line 3 Dd. lines 1 & 2

15. Given: line 1 is parallel to line 2, if we are going to prove ∠𝐺 ≅ ∠𝐷. Which of the following will
prove this statement?
A.a. Alternate exterior angles Cc. Corresponding angles
Bb. Alternate interior angles D.d. Vertical angles

16 Alternate Exterior Angles Theorem states that If two parallel lines are cut by a transversal, then
the pairs of alternate exterior angles are _________.
A.a. same side Bb. Parallel Cc. congruent Dd. alternate.

17. If two parallel lines are cut by a transversal, then same-side interior angles are ______.
Aa. Congruent Bb. exterior Cc. supplementary Dd. All of these

18. Which theorem states that if two parallel lines cut by a transversal, interior angles on the same
side are supplementary?
Aa. Alternate Interior Angles Theorem C.c. Same-Side Exterior Angles Theorem
Bb. Alternate Exterior Angles Theorem D. d. Same-Side Interior Angles Theorem

19. Alternate Interior Angles Theorem states that If two parallel lines are cut by a transversal, then
the pairs of alternate interior angles are _________.
Aa. same side Bb. Parallel Cc. congruent Dd. . alternate

20. The measures of alternate-interior angles are congruent. The statement is__________.
Aa. Sometimes true Bb. never true Cc. may be true Dd. . always true
Use the figure below to answer numbers 21 to 22.
Provided that line u and line t are parallel is cut by a transversal, line p.

21. Which of the following angles below are pairs of same-side exterior angles?
Aa. ∠1 & ∠3 Bb. ∠m & ∠3 Cc. ∠h & ∠3 Dd. ∠4 & ∠t

22. If we are going to prove 𝑚∠2 + 𝑚∠𝑚 = 1800. Which of the following statements will prove?
Aa. Vertical Angles Theorem Cc. Same-side Interior Angles Theorem
Bb. Same-side Exterior Angles Theorem Dd. Alternate Exterior Angles

23. Given m || n, which angle is supplementary to ∠3?

A. 1 B. 2

C. 5 D. 7

24. In the following figure, m || n. What is the measure of ∠1?

A. 500 B. 600

C. 700 D. 800

25. What must be the measure of ∠1 so that m || n?

A. 600 B. 700

C. 800 . 900

26. Given m || n, which angle is supplementary to ∠6?

A. 2 B. 4

C. 7 D. 8

27. Lines m and n are parallel lines cut by a transversal t which is also perpendicular to m and n. Which
statement/s is/are correct?

A. ∠1 𝑎𝑛𝑑 ∠4 form a linear pair

B. ∠2 𝑎𝑛𝑑 ∠3 are supplementary

C. ∠3 𝑎𝑛𝑑 ∠5 are congruent angles

D. both B and C

28. If 𝑛 ⊥𝑡 and m || n, what is 𝑚∠5 ?

A. 600

B. 700

C. 800
 D. 900

29. If a transversal is perpendicular to one of two parallel lines, which statement/s is/are correct?

A. All the angles formed are congruent.

B. Every pair of angles is supplementary.

C. The transversal is perpendicular to the other line.

D. All of the above

30. What must be the measure of ∠1 so that m || n?

A. 500

B. 900

C. 1300

D. 1800

31. What is a subset of a sample space called?

A. Cardinality B. Element C. Event D. Set

32. What term describes the manner of drawing cards, tossing a coin, or rolling a die repeatedly?
A. Event B. Experiment C Outcome D. Sample point

33. How many possible outcomes would there be if three coins were tossed at once?
A. 8 B. 6 C. 4 D. 2

34. What is the set of all possible outcomes of an experiment?

A. Events B. Outcome C. Sample space D. Venn diagram

35. In a restaurant, you have a dinner choice of one main dish, one vegetable, and one drink. The choices for the
main dish are pork and chicken meat. The vegetable choices are broccoli and cabbage. The drink choices are juice
and water. How many choices are possible?
A. 8 B. 10 C. 12 D. 14

36. Arlene Joy got coins from her pocket which accidentally rolled on the floor. If there were 8 possible outcomes,
how many coins fell on the floor?

A. 3 B. 4 C. 8 D. 16

37. Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these
doors may be locked or unlocked. List the outcomes of the sample space.

A. {LLU, LUL, ULL, UUL, ULL, LUU}

B. {LLL, UUU}

C. {LLL, LLU, LUL, LUU, ULL, ULU, UUL, UUU}

D. None of these.

38. A section of an exam contains two multiple-choice questions, each with three’ answer choices (listed "A", "B",
and "C"). List all the outcomes of the sample space.

A. {A, B, C}

B. {AB, AC, BA, BC, CA, CB}

C. {AA, AB, AC, BA, BB, BC, CA, CB, CC}

D. {AA, AB, AC, BB, BC, CC}

Use the situation to answer numbers 39 and 40.

Mr. Cruz, a grade 8 adviser, gave prizes to all of his students during their Christmas party. To be fair, he made a
spinner from a circular board and divided it into 4 congruent sectors. He wrote the following to each of the sectors:
key chain, headset, chocolate, a pack of candies. To determine their prize, each student is asked to spin the
spinner.

39. What is the experiment of the situation above?

A. giving the prizes C. claiming the prize

B. making the spinner D. spinning the spinner

40. Based on the situation, which of the following is not an outcome?

A. headset B. chocolate C. a pack of candies D. prizes

41. How many possible outcomes are there when you flip two coins at the same time, once?

A. 2 B. 3 C. 4 D. 6

42. You are a member of a volleyball team in your barangay. You are tasked to choose a uniform for the players for
the coming summer sports fest. The uniform can either be jersey or cotton. The colors can either be red, blue,
yellow or green. The print could either be front or back. You have to prepare prototype of each choice. How many
would you be preparing?

A. 4 B. 6 C. 12 D. 16

43. How many possibilities for a pair of odd numbers to appear when a pair of dice is tossed?

A. 6 B. 9 C. 15 D. 30

For numbers 44 & 45, refer to the statement below

You can reach Cebu City from your town via three different roads.

44. How many ways can you go to Cebu City and come home using same road both ways?

A. 3 B. 5 C. 7 D. 9

5.How many ways can you go to Cebu City and come home using different roads each way?

A. 3 B. 6 C. 8 D. 10

For numbers 46 & 47. How many words can be formed using the letters H, E, A, R & T,

46. with three letters at a time?

A. 15 B. 30 C. 60 D. 90

47. all letters are used?

A.120 B. 90 C. 60 D. 30

48. You invited 6 of your friends to a dinner in a newly-opened restaurant. After dinner you had picture taking for
souvenir. How many ways can you arranged yourselves in a row?

A. 720 B. 840 C. 3430 D. 5040