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WorksheetsThird Quarter Mathematics 8 Mastery Test
Total questions: 40
Worksheet time: 41mins
Which of the following CANNOT be used to prove that two triangles are congruent?
AAS Congruence Postulate
SAS Congruence Postulate
SSS Congruence Postulate
ASA Congruence Postulate
Which of the following is used to measure angles?
Which of the following is used to draw arcs in constructing a perpendicular bisector?
What principle that needs to be proven?
POSTULATE
THEOREM
COROLLARY
LEMMA
What point on a line segment that divides it into two equal parts?
DISTANCE
MIDPOINT
RAY
VERTEX
A triangle that has two congruent sides?
Isosceles
Equilateral
Acute - Scalene
Obtuse - Scalene
What are the four parts of the mathematical system?
Undefined terms, Defined terms, Axiom, Postulate
Undefined terms, Defined terms, Postulates, Theorems
Undefined terms, Postulates, Theorems, Lemma
Undefined terms, Axiom, Corollary, Lemma
What postulate states that two points are contained in one and only one line?
Plane Postulate
Line-intersection Postulate
Straight-Line Postulate
Plane – Intersection Postulate
Which postulates defines that the intersection of two lines is a point?
Plane Postulate
Line-intersection Postulate
Straight-Line Postulate
Plane – Intersection Postulate
Which of the following is NOT used for construction of figures?
Ruler
Tape Measure
Compass
Pencil
What angle is congruent to ∠O if ∆DOG ≅ ∆CAT?
∠ A
∠ T
∠ C
∠ G
Which of the following sets of triangles are congruent?
Which postulate can be used to prove the two given triangles are congruent?
AAS Postulate
SSS Postulate
SAS Postulate
ASA Postulate
In the figure shown is congruent to itself. Which property of congruence talks about this?
Symmetric Property
Reflexive Property
Transitive Property
Both Symmetric and Transitive Property
Which of the following can be used to prove that ∆ABC ≅ ∆ADC
AAS Postulate
SAS Postulate
ASA Postulate
SSS Postulate
In the figure ,AB ≅CB, AD ≅ CD, and ∆ABD ≅ ∆CBD . Which of the following is correct?
∠DCB ≅ ∠CDB
∠ DCB ≅ ∠DBA
∠DCB ≅ ∠DAB
∠DCB ≅ ∠ADB
Given information is shown marked on the diagrams at the right. To prove that ∆ACB and ∆DFE are congruent by ASA, what additional information is needed?
EF ≅ BF
DE ≅ AB
∠F ≅ ∠C
∠E ≅ ∠C
What would make the given triangles congruent by ASA Postulate?
∠C ≅ ∠P
∠B ≅∠R
AC ≅ RP
BC ≅ QP
Which of the following illustrations shows an obtuse angle?
Which side is congruent to AB?
AB
DE
EF
DF
What flat surface has length and width but no thickness?
Point
Plane
Space
Line
Which of the following is a polygon?
∠1 and ∠2 forms a linear pair as illustrated at the right. If m∠1 = 160⁰, what is the m∠2?
20⁰
70⁰
100⁰
160⁰
What triangle congruence postulate proves that the two triangles are congruent?
SSS Postulate
SAS Postulate
ASA Postulate
AAS Postulate
What triangle congruence postulate proves that the two triangles are congruent?
SSS Postulate
AAS Postulate
ASA Postulate
SAS Postulate
Let P be a point on the angle bisector of ∠ABC, Let D and E be points on BA and BC respectively, such that PD ⊥ BD, PD ≅ BD, PE ⊥ BE and PE ≅ BE. What can be concluded about ∠ BPD and ∠BPE?
∠ BPD > ∠BPE
∠ BPD = ∠BPE
∠ BPD < ∠BPE
∠ BPD ≠ ∠BPE
If BC ≅ EF , ∠B ≅ ∠E and ∠C ≅ ∠F , then ∆BCD ≅ EFG. What congruence postulates/ theorem will justify this statement?
SSS
SAA
ASA
SAS
Which of the following conditions will make ∆SOP ≅ ∆ACE?
If SO ≅ AC, SP ≅ AE, and ∠S ≅∠A
If SO ≅ AC, OP ≅ CE, and ∠S ≅∠A
If SO ≅ AC, ∠P ≅∠E, and OP ≅ CE
If SO ≅ AC, ∠O ≅∠C, and SP ≅ AE
Complete the two column proof. What can be written as Reason Number 2?
Vertical Angles are Congruent
Definition of Right Angles
Definition of Perpendicular Lines
Given
∠DOC
Complete the two column proof. What can be written in Statement Number 3?
Vertical Angles are Congruent
∠AOB
∠OCD
Given
∠DOC
Complete the two column proof. What can be written as Reason Number 3?
Vertical Angles are Congruent
Definition of Right Angles
Definition of Perpendicular Lines
Given
∠DOC
Complete the two column proof. What can be written in statement Number 5?
∠OCD
∠AOB
Definition of Perpendicular Lines
Given
∠DOC
Complete the two column proof. What can be written in Reason Number 5?
Definition of Right Angles
Vertical Angles are congruent
Definition of Perpendicular Lines
Given
AAS Psstulate
Complete the two column proof. What can be written in Reason Number 5?
Definition of Right Angles
Vertical Angles are congruent
Definition of Perpendicular Lines
ASA Postulate
AAS Psstulate
Complete the given two column proof. What can be written as statement number 1?
SAS Congruence Postulate
Reflexive Property
∠NFA
FA bisects ∠UFN; UF ≅ NF
ASA Congruence Postulate
Complete the given two column proof. What can be written as reason number 2?
SAS Congruence Postulate
Reflexive Property
∠NFA
FA bisects ∠UFN; UF ≅ NF
Given
Complete the given two column proof. What can be written as statement number 3?
SAS Congruence Postulate
Reflexive Property
∠NFA
FA bisects ∠UFN; UF ≅ NF
Given
Complete the given two column proof. What can be written as reason number 4?
SAS Congruence Postulate
Reflexive Property
∠NFA
FA bisects ∠UFN; UF ≅ NF
Given
Complete the given two column proof. What can be written as statement number 5?
SAS Congruence Postulate
∆NFA ≅ ∆UFA
∠NFA
FA bisects ∠UFN; UF ≅ NF
Given
Complete the given two column proof. What can be written as statement number 5?
SAS Congruence Postulate
∆NFA ≅ ∆UFA
∠NFA
FA bisects ∠UFN; UF ≅ NF
Given
