WorksheetsGROUP RECITATION - 3RD QUARTER
Total questions: 35
Worksheet time: 6mins
What do you call the statements that can only be described and not defined?
defined terms
axioms
undefined terms
theorems
Which of the following is a commutative axiom?
2 + 5 = 5 + 2
2 ∙ 5 = 2 ∙ 5
2 + 5 = 2 + 5
(2 + 5) = 2(5) + 5(2)
What is the additive inverse of b = 0?
−b1
−b
0
b1
Which of the following is NOT a property of Mathematical system?
postulates
theorems
conjecture
define terms
What undefined term is represented by a dot?
plane
line
angle
point
What undefined term is represented by the edge of a ruler?
point
line
plane
angle
Which of the following statements best describe a perpendicular line?
intersecting lines forming 4 right angles
a straight line
intersecting lines
intersecting lines forming a linear pair
What axioms of equality stated that for all real number 𝑝 and 𝑞, if 𝑝 = 𝑞 then 𝑞 = 𝑝?
substitution property
reflexive property
symmetric property
transitive property
Which of the following represents a plane?
edge of the of the book
corner of a room
door knob
cover page of ADM module
Consider the following axiom set below. What are the undefined terms in given axiom set?
Axiom 1: There are at least two buildings on a school campus.
Axiom 2: There is exactly one sidewalk between any two buildings.
Axiom 3: Not all the buildings have the same sidewalk between them.
sidewalk only
building and campus
building and sidewalk
building only
The angles inside the triangular garden ABC are all 60°. To be able to find the length of the sides of the garden, Ana measured the sides as follows; 3.5 𝑚, 4 𝑚 and 6 𝑚. Did Ana measure it correctly?
. No, because two sides of an equiangular triangle must be equal.
Yes, because a triangle is not equilateral if it is equiangular.
No, because an equiangular triangle is also equilateral.
Yes, because not all equiangular triangles are equilateral.
You are tasked to make a triangular picture frame and your teacher gives you five sticks of the same length and one shorter length. What triangle can you make out of the materials given if you are not allowed to cut the stick?
isosceles and equilateral triangles
equilateral triangles
scalene and isosceles triangles
The materials cannot form a triangle
How many pairs of corresponding congruent parts are there in two congruent triangles?
6
4
3
2
If 𝛥𝑆𝐼𝑇 ≅ 𝛥𝐻𝑂𝑃, then what angle corresponds to ∠𝑇?
∠𝑃
∠𝐼
∠𝐻
∠S
Which of the following shows a pair of congruent triangles?
𝛥𝐼𝐹𝑉 ≅ 𝛥𝐼𝑉𝐸
𝛥𝐼𝐹𝑉 ≅ 𝛥𝑉𝐼E
𝛥𝐹𝐼𝑉 ≅ 𝛥𝐼𝑉𝐸
𝛥𝐹𝐼𝑉 ≅ 𝛥𝐸𝐼𝑉
Which vertex corresponds to 𝐹?
𝐼
𝐸
𝐹
V
Given ∆MAD, what is the included side between ∠𝑀 and ∠𝐷?
𝐴𝐷
𝑀𝐷
MA
𝐴M
What other pair of corresponding congruent sides is needed using SSS congruence postulate if ∆PUB≅ ∆NET?
𝑁𝑇 ≅ 𝑃𝑈
𝐵𝑃 ≅ 𝑁𝐸
𝐵𝑃 ≅ 𝑇𝑁
𝑁𝑇 ≅ 𝑈𝐵
Corresponding congruent parts are marked. What other pair of corresponding congruent part is
needed to make the two triangles congruent by ASA Congruence Postulate?
∠B and ∠A
∠B and ∠F
∠G and ∠T
∠I and ∠A
Which of the following pairs of corresponding congruent sides is needed using SAS congruence postulate if ∆THI≅ ∆NCA?
𝑇𝐻 ≅ 𝑁𝐶
𝐻𝐼 ≅ 𝐶𝐴
𝐼𝑇 ≅ 𝐴𝑁
𝐼𝐻 ≅ 𝐶N
Given that ∆VAN ≅ ∆BUS, ∠V = 60˚ and ∠N = 70 ˚ , find ∠U.
80˚
70˚
60˚
50˚
If ∆BUN ≅ ∆DLE, BN is 3.15 cm, BU is 5.90 cm find the length of DE.
2.75 cm
5.90 cm
3.15 cm
9.05 cm
You are making party hats for your best friend’s birthday. The measurements are shown in
Figure. Find the value of x.
3
5
7
9
The figure shows that ∆FUN ≅ ∆DUB. Do you agree that ∠FUN = 94˚ and ∠DBU = 42˚?
No, ∠FUN = 94˚ and ∠DBU = 44˚
No, ∠FUN = 90˚ and ∠DBU = 42˚
Yes, ∠FUN = 94˚ and ∠DBU = 42˚
It is impossible to determine their measures
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.”?
AAS Congruence Theorem
HyA Congruence Theorem
LL Congruence Theorem
HyL Congruence Theorem
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?
Apply triangle congruence by AAS.
Apply triangle congruence by SSS
Apply triangle congruence by ASA.
Apply triangle congruence by SAS.
The figure below shows a ring with a rhombus-shaped diamond. 𝐼𝐺 divides the diamond into two congruent triangles. What reason will justify that ∠IRG ≅ ∠𝐼𝑁𝐺?
Adjacent angles congruent
Opposite angles of a rhombus are congruent
Alternate interior angle congruent
Vertical angles are congruent
Which theorem or postulate can be used to show that ∆𝐺𝐸𝐷 ≅ ∆𝐼𝐷𝐸?
ASA Congruence Postulate
SAS Congruence Postulate
HL Congruence Theorem
AAS Congruence Theorem
If ∆𝐸𝐻𝑇 ≅ ∆𝐴𝑇𝐻, which congruence statement of the corresponding parts of the two triangles
is true?
∠𝑇𝐸𝐻 ≅ ∠𝐸𝑇𝐴
∠𝐻𝐸𝑇 ≅ ∠𝐴𝐻𝑇
∠𝐻𝐸𝑇 ≅ ∠𝑇𝐴𝐻
∠𝑇𝐻𝐸 ≅ ∠𝑇𝐻A
Which of the following is true about an angle bisector?
It divides an angle at 90⁰.
It divides an angle at 45⁰.
It divides an angle into three parts
It divides an angle into halves
What do you call the segments or lines that intersect forming a 90-degree angle?
perpendicular segments/lines
skew segments/lines
auxiliary lines
angle bisector
Which among the following theorems of triangle congruence can be used to prove that
∆𝐻𝐸𝑃 ≅ ∆𝐻𝑂𝑃?
LA
HyA
AAS
LL
Which of the following reasons justifies 𝑃𝐻 ≅ 𝑃𝐻?
Congruent Parts of Congruent Triangles is Congruent
Definition of congruent segments
Definition of Perpendicular
Reflexive Property
What is the relationship of ∠1 and ∠2?
hey are non-congruent angles
They are congruent angles.
They are supplementary angles.
They are linear pair angles.
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?
𝐺𝐸 do not lie in side 𝐷𝐹
𝐺𝐸 is parallel to 𝐷F
𝐺𝐸 bisects 𝐷𝐹
𝐺𝐸 is congruent to 𝐷𝐹
