Worksheetslong quiz (3rd quarter)
Total questions: 40
Worksheet time: 20mins
What undefined term has infinite length but no width or thickness?
Point
Line
Plane
angle
What do you call the statement accepted as true without proof?
postulate
theorem
defined terms
undefined term
What do you call the point that divides a segment into two congruent segments?
midpoint
bisector
point
ray
What is the symbol for congruence?
=
≠
≅
≈
What property of congruence is illustrated in the statement, if AB≅DE, then DE≅ AB?
Reflexive
Associative
Transitive
Symmetric
What 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”?
ASA
SAS
AAS
SSS
What triangle congruence postulate states that “If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent”?
SSS
ASA
SAS
AAS
Given that ∆HIJ ≅ ∆LMN, what angle corresponds to ∠J?
∠H
∠I
∠J
∠N
If ∆LUV ≅ ∆YAH, then ∆HAY is congruent to ____.
∆AYH
∆LVU
∆UVL
∆VUL
“If two angles and the included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the triangles are congruent”. Which postulate proves this statement?
AAS
ASA
SSS
SAS
Which of the following theorems states that: “If the hypotenuse and an acute angle of one right triangle are congruent to the corresponding hypotenuse and an acute angle of another right triangle, then the triangles are congruent.”?
HyA
HyL
LL
LA
What property states that AB ≅ AB?
Reflexive
Associative
Commutative
Transitive
What property of congruence is illustrated in the statement? If AB≅DE, EF ≅DE then AB≅EF?
Commutative
Reflexive
Transitive
Symmetric
How many line/s is/are needed to bisect a given angle?
0
1
2
3
What do you call the line, ray or segment that divides the angle into two congruent parts?
Angle bisector
Midpoint
Betweenness
Segment Bisector
What does the edge of a box represent?
point
line
plane
angle
Which of the following does not represent a plane?
Tip of a pen
Top of the table
Cover page of a book
Faces of a rectangular box
Which of the following statements is true?
An axiomatic system is independent if there are no contradicting axioms or theorems.
Consistency is a necessary requirement for an axiomatic system to be logically valid.
Absolute consistency of the axiomatic system is established if an abstract model has been exhibited.
In an axiomatic system, every statement, either itself or its negation, is capable of being proven
Which of the following statements is true?
An axiomatic system is independent if there are no contradicting axioms or theorems.
Consistency is a necessary requirement for an axiomatic system to be logically valid.
Absolute consistency of the axiomatic system is established if an abstract model has been exhibited.
In an axiomatic system, every statement, either itself or its negation, is capable of being proven
Given ∆LOT, what is the included angle between LO and OT ?
∠L
∠O
∠T
∠LTO
In triangles ABC and DEF, AB = 7 cm, BC = 5 cm, ∠B = 50°, DE = 5 cm, EF = 7 cm, ∠E = 50°. By which congruence rule the triangles are congruent?
AAS
SAS
ASA
SSS
If ∆SIN ≅ ∆COS, which of the following is NOT true?
∠I ≅ ∠O
∠S ≅ ∠C
IN ≅ OC
Which statement is NOT sufficient to prove the congruence of two triangles?
Two sides of one triangle are congruent respectively to the two sides of another triangle.
Three sides of one triangle are congruent respectively to the three sides of another triangle.
Two angles and the included side of one triangle are congruent respectively to the two angles and the included side of another triangle
Two angles and the non-included side of one triangle are congruent respectively to the two angles and the non-included side of another triangle.
1. ∆𝐴𝐵𝐶 and ∆𝐷𝐸𝐹 are isosceles right triangles. AB≅DE and AC≅DF , which of the following statements is true by CPCTC?
AB≅ EF
BC≅ EF
CA≅ EF
CD≅ FD
In the figure, if OM bisects ∠LMN, which of the following statements is true?
∠LOM ≅ ∠NOM
∠LMO ≅ ∠NMO
LO≅NM
What axioms of equality does the illustration below represent? Given: EM ≅ EM
Reflexive
Associative
Transitive
Commutative
Which of the following illustrations represents the ASA congruence postulate?
Given that ∆VAN ≅ ∆BUS, ∠V = 60° and ∠N = 70° , what is ∠U?
60
50
70
800
In the figures at the right, ∠𝐸 ≅ ∠𝐴, ET≅AY . What additional data is needed to prove that ∆𝑁𝐸𝑇 ≅ ∆𝑃𝐴𝑌 by SAS Congruence?
PA ≅ NE
∠𝑁 ≅ ∠𝑃
∠𝑇 ≅ ∠𝑌
NT ≅ NY
In ∆𝐽𝑂𝑌, let S be a midpoint of JY and OS ⊥ JY. What theorem or postulate can justify that ∆𝐽𝑂𝑆 ≅ ∆𝑌𝑂𝑆?
AAS
SAS
SSS
ASA
Which among the following theorems of triangle congruence can be used to prove that ∆𝐻𝐸𝑃 ≅ ∆𝐻𝑂𝑃
?
AAS
LA
HyA
LL
What is the corresponding side of OP?
EP
PE
HE
HP
Which of the following is true about PH?
PH bisects ∠𝐸𝑂𝑃
PH bisects ∠𝐸𝑃𝑂
PH bisects ∠𝑃𝐸𝑂
PH bisects ∠𝑃𝑂𝐸
Which of the following reasons justifies PH ≅ PH?
Associative
Commutative
Transitive
Reflexive
What other information must be added in the figure above to prove ⊿ 𝐻𝐸𝑃 ≅⊿ 𝐻𝑂𝑃 by SAS Postulate?
EH≅EP
OP≅EP
OH≅EP
OH≅HP
The angles inside the triangular garden ABC are all 60°. To be able to find the length of the sides of the garden, Mary measured the sides as follows; 2.5 𝑚, 3 𝑚 and 5 𝑚. Did Mary measure it correctly?
No, because an equiangular triangle is also equilateral.
Yes, because not all equiangular triangles are equilateral.
Yes, because a triangle is not equilateral if it is equiangular.
No, because two sides of an equiangular triangle must be equal.
Ianne knows that in ∆REL and ∆KEN, RE≅KE , EL≅EN and RL≅KN Which postulate can he use to prove that the triangles are congruent?
AAS
SSS
SAS
ASA
If ∆BUN ≅ ∆DLE, BN is 3.15 cm, BU is 5.90 cm, what is the length of DE?
3.15 cm
5.90 cm
2.75 cm
9.05 cm
You are tasked to make a design of the flooring of your barangay hall using triangles. The available materials are rectangle tiles. What triangle congruence will you apply to make the design?
SAS
AAS
ASA
SSS
You are tasked to make a design of the flooring of your barangay hall using triangles. The available materials are rectangle tiles. What triangle congruence will you apply to make the design?
∆𝐶𝐺𝑆 ≅ ∆𝐴𝐸𝑁
∆𝐶𝐺𝑆 ≅ ∆𝐻𝐸𝑁
∆𝑆𝐶𝐺 ≅ ∆𝐴𝐸𝑁
∆𝑆𝐶𝐺 ≅ ∆𝑁𝐸H
