MATHEMATICS 8
QUIZ #5
Direction: Read and analyze each question carefully and write the letter of the
correct answer on your answer sheet.
1. 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
2. Which of the following is a symbol used for congruence?
A. =
B. ≠
C. ≈
D. ≅
3. How many pairs of corresponding sides are there in two congruent triangles?
A. 1
B. 2
C. 3
D. 4
4. Which triangle congruence postulate states that “If the two sides and an included
angle of one triangle are congruent to the corresponding two sides and the included
angle of another triangle, then the triangles are congruent”?
A. SSS
C. ASA
B. SAS
D. AAS
5. Which of the illustrations below represents the ASA Congruence Postulate?
6.Given that ΔABC ≅ ΔDEF, what angle corresponds to ∠A?
A. ∠B
C. ∠D
B. ∠C
D. ∠F
7. Which of the following refers to the triangles that have common region?
A. Multiple triangles
C. Congruent triangles
B. Isosceles triangles
D. Overlapping triangles
8. Which of the following theorems states that, “If two sides of a triangle are
congruent, then the angles opposite them are congruent”?
A. Right Angle Theorem
B. Isosceles Triangle Theorem
C. Interior Angles of a Triangle Theorem
D. Exterior Angles of a Triangle Theorem
9. Which of the following theorems/postulate states that, “If the hypotenuse and an
acute angle of a right triangle are congruent to the corresponding hypotenuse and
acute angle of another right triangle, then the triangles are congruent”?
A. Right Angle Theorem
C. HyA Congruence
B. Isosceles Triangle Theorem
D. HyL Congruence
10. What do you call the line, ray or segment that divides the angle into two
congruent parts?
A. Midpoint
C. Betweenness
B. Angle Bisector
D. Segment Bisector
11. How many line/s is/are needed to bisect a given angle?
A. Four
C. Three
B. One
D. Two
12. Given ΔLOT, what is the included angle between 𝐿𝑂 and 𝑂𝑇̅?
A. ∠L
C. ∠O
B. ∠T
D. ∠ TLO
13. If ΔLUV ≅ ΔYAH, which of the following is congruent to ΔHAY?
A. ΔAYH
C. ΔLVU
B. ΔUVL
D. ΔVUL
14. Δ𝐴𝐵𝐶 and Δ𝐷𝐸𝐹 are isosceles right triangles. 𝐴𝐵≅𝐷𝐸 and 𝐴𝐶≅𝐷𝐹, which of the
following statements is true by CPCTC?
A. 𝐴𝐶 ≅ 𝐸𝐹
C. 𝐶𝐴 ≅ 𝐸𝐹
B. 𝐵𝐶 ≅ 𝐸𝐹
D. 𝐶𝐵 ≅ 𝐹𝐷
15. Which theorem or postulate can be used to show that Δ𝐺𝐸𝐷≅Δ𝐼𝐷𝐸?
A. AAS Congruence Theorem
B. ASA Congruence Postulate
C. HL Congruence Theorem
D. SAS Congruence Postulate
16. In Δ𝐽𝑂𝑌, let S be a midpoint of 𝐽𝑌 and 𝑂𝑆⊥𝐽𝑌. What theorem or
postulate will you use to show that Δ𝐽𝑂𝑆≅Δ𝑌𝑂𝑆?
A. AAS
C. LL
B. ASA
D. HyL
17. Which of the following is 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.
18. What is the common side of Δ𝐴𝐵𝐷 𝑎𝑛𝑑 Δ𝐶𝐵𝐷?
A. 𝐴𝐵
C. 𝐵𝐷
B. 𝐵𝐶
D. 𝐶𝐷
19. Corresponding congruent parts are marked. How can you prove that
ΔRAY≅ΔREY?
A. ASA congruence postulate
C. SAA congruence postulate
B. SAS congruence postulate
D. SSS congruence postulate
20. Given that ΔVAN ≅ ΔBUS, ∠V = 60o and ∠N = 70o, what is the value of ∠U?
A. 50o
C. 70o
B. 60o
D. 80o
21. If you put together the two triangles in such a way that 𝐺𝐸 of
⊿𝐺𝐸𝐷 coincides with the 𝐺𝐸 of ⊿𝐺𝐸𝐹, what is the relationship of 𝐺𝐸
and 𝐷𝐹?
A. 𝐺𝐸 bisects 𝐷𝐹
B. 𝐺𝐸 do not lie in side 𝐷𝐹
C. 𝐺𝐸 is congruent to 𝐷𝐹
D. 𝐺𝐸 is parallel to 𝐷𝐹
22. What other pair of corresponding congruent part is needed to
make the two triangles congruent by SAS Congruence Postulate?
A. 𝐼𝐺 and 𝐴𝑇̅
B. 𝑇̅𝐹 and 𝑇̅𝐴
C. 𝐵𝐼 and 𝐹𝐴
D. 𝐺𝐵 and 𝑇̅𝐹
23. If ΔLOC ≅ ΔKER, which of the following congruent statements is/are NOT true?
I.
ΔCLO ≅ ΔREK
II.
ΔCOL ≅ ΔKRE
III.
ΔLCO ≅ ΔKER
A. I only
C. II only
B. I and III
D. I, II and III
24. The figure at the right is formed by overlapping triangles. Which of the following
congruence statements is true?
A. Δ𝐶𝐺𝑆≅Δ𝐴𝐸𝑁
C. Δ𝑆𝐶𝐺≅Δ𝐴𝐸𝑁
B. Δ𝐶𝐺𝑆≅Δ𝐻𝐸𝑁
D. Δ𝑆𝐶𝐺≅Δ𝑁𝐸𝐻
̅̅̅̅ ≅ 𝑃𝐻
̅̅̅̅?
25. Which of the following reasons justifies 𝑃𝐻
A. Definition of congruent segments
B. Definition of Perpendicular
C. Reflexive Property
D. Congruent Parts of Congruent Triangles are Congruent
26. If ΔMLN and ΔPOQ are congruent by SSS congruence postulate, which pair of
corresponding congruent sides is not needed?
̅̅̅̅
̅̅̅̅ 𝑎𝑛𝑑 𝑃𝑂
A. 𝑀𝐿
̅̅̅̅̅ 𝑎𝑛𝑑 𝑃𝐿
̅̅̅̅
B. 𝑀𝑂
̅̅̅̅̅
C. 𝑀𝑁 𝑎𝑛𝑑 ̅̅̅̅
𝑃𝑄
̅̅̅̅ 𝑎𝑛𝑑 𝑁𝐿
̅̅̅̅
D. 𝑄𝑂
27. Which of the following is true about 𝑃𝐻?
A. 𝑃𝐻 bisects ∠𝐸𝑂𝑃
B. 𝑃𝐻 bisects ∠𝑃𝐸𝑂
C. 𝑃𝐻 bisects ∠𝐸𝑃𝑂
D. 𝑃𝐻 bisects ∠𝑃𝑂𝐸
28. A student is setting up a rectangular table in a room, and they want to place it
in such a way that the legs align perfectly perpendicular to the floor. Which scenario
best demonstrates the application of perpendicular lines in real life?
A. Two mirrors reflecting each other's images.
B. Two tree branches growing in opposite directions.
C. Two bookshelves arranged side by side.
D. Two roads running parallel to each other.
29. You are tasked to make a design of the flooring of your barangay hall using
triangles. The available materials are square tiles. How are you going to make the
design?
A. Apply triangle congruence by SSS
B. Apply triangle congruence by SAS.
C. Apply triangle congruence by ASA.
D. Apply triangle congruence by AAS.
30. A farmer is dividing his land into equal-sized plots for planting crops. He wants
to ensure each plot has the same area to optimize irrigation and farming equipment
usage. Which mathematical system concept is most relevant to this situation?
A. Undefined terms
C. Triangle Postulate
B. Defined terms
D. Angle Bisector