3rd QUARTERLY ASSESSMENT TEST in Mathematics 8
School Year: 2024 – 2025
Name: ________________________________________________ Score: _______________
I. Multiple Choice: Encircle the letter of your answer.
1. Which of the illustrations below represents the ASA Congruence Postulate?
2. Which of the illustrations below represents the SAS Congruence Postulate?
3. Given ∆LOT, what is the included angle between ̅𝐿𝑂̅̅̅ and 𝑂̅̅̅𝑇̅̅̅̅?
A. ∠L
B. ∠O
C. ∠T
D. ∠ TLO
4. Given ∆MAD, what is the included side between ∠𝑀 and ∠𝐷?
A. 𝑀𝐴
B. 𝑀𝐷
C. 𝐴𝐷
D. 𝐴𝑀
5. Given ∆RED, what is the included side between ∠𝐸 and ∠𝐷?
A. 𝐸𝐷
B. 𝑅𝐸
4777C. 𝑅𝐷
D. 𝐷𝑅
6. Given that ∆ALS ≅ ∆BKD, what segment corresponds to AS̅̅̅ ?
A. 𝐴𝐾
B. 𝐵𝐷
C. LB
D.𝑆𝐾
7. Given that ∆HIJ ≅ ∆LMN, what angle corresponds to ∠J?
A. ∠H
B. ∠I
C. ∠M
D. ∠N
8. If ∆SIN ≅ ∆COS, which of the following is NOT true?
A. ∠I ≅ ∠O
B. ∠S ≅ ∠C
C. 𝐼𝑁 ≅ 𝑂̅̅̅𝐶
D. 𝑁𝐼 ≅ 𝑆𝑂̅̅̅
9. If ∆LUV ≅ ∆YAH, then ∆HAY is congruent to ____.
A. ∆AYH
B. ∆LVU
C. ∆UVL
D. ∆VUL
10. If ∠E ↔ ∠N, ∠V ↔ ∠S and ∠R ↔ ∠M, then ∆EVR ≅ ____.
A. ∆NSM
B. ∆MNS
C. ∆NSR
D. ∆SRV
11. Which of the following is NOT true about an angle bisector?
A. It divides an angle into halves.
B. It divides an angle at 45⁰.
C. It divides an angle at 90⁰.
D. It divides an angle into three parts.
12. Which of the following needs to be proven before it can be accepted as a true statement?
A. definition
B. postulate
C. property
D. theorem
13. What is the intersection of two distinct planes?
A. line
B. plane
C. point
D. ray
14. ____ is a straight, continuous arrangement of infinitely many points. Its length is infinite and has no thickness.
A. line
B. plane
C. point
D. ray
15. What is the intersection of two coplanar lines?
A. line
B. plane
C. point
D. ray
16. What can contain a line and a point not on the line?
A. line
B. plane
C. point
D. ray
For nos. 17 to 20. Identifying errors: Underline the word that makes the statement false and provide the word that will make
it true.
17. A least three non-coplanar points determine a plane.
18. Points that line on the same line are coplanar.
19. A postulate is a statement that is only accepted after it has been proven.
20. One point determine a line.
21. There are four parts of the Mathematical system. Which of the following is not a part of the mathematical system?
A. corollary
C. axioms or postulate
B. theorems
D. defined and undefined terms
22. Which of the following statements is true about axioms or postulates?
A. These are concepts that need to be defined.
B. These are statements accepted after it is proved deductively.
C. These are concepts that can be defined using the undefined terms.
D. These are statements assumed to be true and need no further proof.
For items nos. 23 – 25, line segment 23. ______ bisects AB, with point of intersection at point X therefore
AB will be divided into two congruent segments which are 24. ____ and 25. _____
26. Which of the following is a symbol used for congruence?
A. =
B. ≠
C. ≈
D. ≅
27. How many pairs of corresponding congruent angles are there in two congruent triangles?
A. 1
B. 2
C. 3
D. 4
28. What do you call the segments or lines that intersect forming a 90-degree angle?
A. angle bisector
C. skew segments/lines
B. auxiliary lines
D. perpendicular segments/lines
29. Which of the following statements best describes congruent triangles?
I. They are similar.
III. They have the same shape.
II. They have the same size.
IV. They are equilateral triangles.
A. I only
B. III only
C. III and IV together
D. II and III together
30. How many pairs of corresponding sides are there in two congruent triangles?
A. 1
B. 2
C. 3
D. 4
31. 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 32 - 35, consider the figure on the left.
32. Which segment corresponds to 𝑁𝑇̅̅̅̅?
A. 𝐴𝑇̅̅̅̅
B. 𝐴𝐶
C.𝐶𝑀
D. 𝑀𝐴
33. Which angle corresponds to ∠𝑇̅̅̅̅ ?
A. ∠𝐴
B. ∠𝐶
C. ∠𝑀
D. ∠𝑁
34. Which vertex corresponds to 𝐴?
A. 𝐴
B. 𝑀
C. 𝑁
D. 𝑇̅̅̅̅
35.What conclusion can you make in the figure?
A. 𝛥𝐴𝑁𝑇̅̅̅̅ ≅ 𝛥𝑀𝐴𝐶
B. 𝛥𝐴𝑁𝑇̅̅̅̅ ≅ 𝛥𝐶𝐴𝑀
C. 𝛥𝐴𝑀𝐶 ≅ 𝛥𝐴𝑇̅̅̅̅𝑁
D. 𝛥𝐴𝑀𝐶 ≅ 𝛥𝑇̅̅̅̅𝐴𝑁
36. Which of the theorems below states that: “If two angles and a non-included side of one triangle are congruent to the
corresponding two angles and a non-included side of another triangle, then the triangles are congruent.”?
A. HyA Congruence Theorem
C. LL Congruence Theorem
B. HyL Congruence Theorem
D. AAS Congruence Theorem
For items 37 and 38, use the figure at the right.
37. In an isosceles ∆𝐴𝐵𝐶, let 𝐶𝐷 be an angle bisector of ∠𝐵𝐶𝐴. What theorem or postulate can justify ∆𝐷𝐶𝐴 ≅ ∆𝐷𝐶𝐵?
A. Angle-Angle-Side
C. Hypotenuse Leg
B. Hypotenuse-Acute Angle
D. Side-Angle-Side
38. In item number 3, ∆𝐷𝐶𝐴 ≅ ∆𝐷𝐶𝐵. What other corresponding sides are congruent by CPCTC aside from 𝐶𝐷 ≅ 𝐶𝐷?
A. 𝐶𝐷≅ 𝐶𝐴
B. 𝐶𝐷 ≅ 𝐶𝐵
C. 𝐷𝐴 ≅ 𝐷𝐵
D. 𝐷𝐴 ≅ 𝐴𝐶
39. In the figure at the right, 𝑶𝑻̅̅̅̅ is a perpendicular bisector of 𝑯𝑺 ̅̅ at T. What triangle congruence
theorem can be used to prove that ∆𝐻𝑂̅̅̅𝑇̅̅̅̅ ≅ ∆𝑆𝑂̅̅̅𝑇̅̅̅̅?
A. LL Congruence Theorem
C. HyL Congruence Theorem
B. HyA Congruence Theorem
D. AAS Congruence Theorem
40. In the figures at the right, ∠𝐸 ≅ ∠𝐴, 𝐸𝑇̅̅̅̅ ≅ 𝐴𝑌. What additional data is needed to prove that
∆𝑁𝐸𝑇̅̅̅̅ ≅ ∆𝑃𝐴𝑌 by SAS Congruence?
A. ∠𝑁 ≅ ∠𝑃
C. 𝑁𝐸 ≅ 𝑃𝐴
B. ∠𝑇̅̅̅̅ ≅ ∠𝑌
D. 𝑁𝑇̅̅̅̅ ≅ 𝑃𝑌
II. Tell whether each of the following represents a point, a line or a plane.
__________ 41. Stars in the sky
__________ 42. Curtain rod
__________ 43. Edge of a ruler
__________ 44. Cartolina
__________ 45. A knot on the piece of thread
__________ 46. A clothsline
__________ 47. Top of a box
__________ 48. Page of a book
__________ 49. A magic wand
__________ 50. Button