SUMMATIVE TEST in Mathematics 8
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
C. 𝑅𝐷
D. 𝐷𝑅
̅
6. Given that ∆ALS ≅ ∆BKD, what segment corresponds to AS̅̅ ?
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 ≅ 𝑶𝑪
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. NON-COLLINEAR
18. Points that line on the same line are coplanar. PLANE / COLLINEAR
19. A postulate is a statement that is only accepted after it has been proven. THEOREM
20. One point determine a line. TWO
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