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long quiz (3rd quarter)

Total questions: 40

Worksheet time: 20mins

Name
Class
Date
1.

What undefined term has infinite length but no width or thickness?


a)

Point

b)

Line

c)

Plane

d)

angle

2.

What do you call the statement accepted as true without proof?

a)

postulate

b)

theorem

c)

defined terms

d)

undefined term

3.

What do you call the point that divides a segment into two congruent segments?


a)

midpoint

b)

bisector

c)

point

d)

ray

4.

What is the symbol for congruence?

a)

=

b)

c)

d)

   ≈


5.

What property of congruence is illustrated in the statement, if AB≅DE, then DE≅ AB?

a)

Reflexive

b)

Associative

c)

Transitive

d)

Symmetric

6.

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”?

a)

ASA

b)

SAS

c)

AAS

d)

SSS

7.

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”?


a)

SSS

b)

ASA

c)

SAS

d)

AAS

8.

Given that ∆HIJ ≅ ∆LMN, what angle corresponds to ∠J?

a)

∠H

b)

∠I

c)

∠J

d)

∠N

9.

If ∆LUV ≅ ∆YAH, then ∆HAY is congruent to ____.


a)

∆AYH

b)

∆LVU

c)

  ∆UVL

d)

∆VUL

10.

“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?


a)

AAS

b)

ASA

c)

SSS

d)

SAS

11.

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.”?

a)

HyA

b)

HyL

c)

LL

d)

LA

12.

What property states that AB ≅ AB?

a)

Reflexive

b)

Associative

c)

Commutative

d)

Transitive

13.

  What property of congruence is illustrated in the statement? If AB≅DE, EF ≅DE then AB≅EF?


a)

Commutative

b)

Reflexive

c)

Transitive

d)

Symmetric

14.

    How many line/s is/are needed to bisect a given angle?


a)

0

b)

1

c)

2

d)

3

15.

What do you call the line, ray or segment that divides the angle into two congruent parts?

a)

Angle bisector

b)

Midpoint

c)

Betweenness

d)

Segment Bisector

16.

What does the edge of a box represent?

a)

point

b)

line

c)

plane

d)

angle

17.

  Which of the following does not represent a plane?

a)

Tip of a pen

b)

Top of the table

c)

  Cover page of a book

d)

Faces of a rectangular box

18.

Which of the following statements is true?

a)

An axiomatic system is independent if there are no contradicting axioms or theorems.

b)

Consistency is a necessary requirement for an axiomatic system to be logically valid.

c)

Absolute consistency of the axiomatic system is established if an abstract model has been exhibited.

d)

In an axiomatic system, every statement, either itself or its negation, is capable of being proven

19.

Which of the following statements is true?

a)

An axiomatic system is independent if there are no contradicting axioms or theorems.

b)

Consistency is a necessary requirement for an axiomatic system to be logically valid.

c)

Absolute consistency of the axiomatic system is established if an abstract model has been exhibited.

d)

In an axiomatic system, every statement, either itself or its negation, is capable of being proven

20.

Given ∆LOT, what is the included angle between  LO and OT ?


a)

∠L

b)

∠O

c)

∠T

d)

∠LTO

21.

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?

a)

AAS

b)

SAS

c)

ASA

d)

SSS

22.

   If ∆SIN ≅ ∆COS, which of the following is NOT true?

a)

∠I ≅ ∠O

b)

∠S ≅ ∠C

c)

IN ≅ OC

23.

  Which statement is NOT sufficient to prove the congruence of two triangles?

a)

  Two sides of one triangle are congruent respectively to the two sides of another triangle.

b)

   Three sides of one triangle are congruent respectively to the three sides of another triangle.

c)

Two angles and the included side of one triangle are congruent respectively to the two angles and the included side of another triangle

d)

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.

24.

1.    ∆𝐴𝐵𝐶 and ∆𝐷𝐸𝐹 are isosceles right triangles.  AB≅DE  and AC≅DF , which of the following statements is true by CPCTC?

a)

AB≅ EF

b)

BC≅ EF

c)

CA≅ EF

d)

CD≅ FD

25.

    In the figure, if  OM bisects ∠LMN, which of the following statements is true?

a)

∠LOM ≅ ∠NOM

b)

∠LMO ≅ ∠NMO

c)

 LO≅NM  

26.

What axioms of equality does the illustration below represent? Given: EM ≅ EM

a)

Reflexive

b)

Associative

c)

Transitive

d)

Commutative

27.

Which of the following illustrations represents the ASA congruence postulate?

a)

b)

c)

d)

28.

  Given that ∆VAN ≅ ∆BUS, ∠V = 60° and ∠N = 70° , what is ∠U?


a)

60

b)

50

c)

70

d)

800

29.

In the figures at the right, ∠𝐸 ≅ ∠𝐴,  ET≅AY  . What additional data is needed to prove that ∆𝑁𝐸𝑇 ≅ ∆𝑃𝐴𝑌 by SAS Congruence?

a)

PA  ≅ NE 

b)

∠𝑁 ≅ ∠𝑃

c)

∠𝑇 ≅ ∠𝑌

d)

 NT ≅ NY 

30.

In ∆𝐽𝑂𝑌, let S be a midpoint of  JY and OS ⊥ JY. What theorem or postulate can justify that ∆𝐽𝑂𝑆 ≅ ∆𝑌𝑂𝑆?

a)

    AAS

b)

SAS

c)

SSS

d)

ASA

31.

Which among the following theorems of triangle congruence can be used to prove that ∆𝐻𝐸𝑃 ≅ ∆𝐻𝑂𝑃

?

a)

AAS

b)

LA

c)

HyA

d)

LL

32.

What is the corresponding side of OP?

a)

EP

b)

PE

c)

HE

d)

HP

33.

Which of the following is true about PH?

a)

PH bisects ∠𝐸𝑂𝑃

b)

PH bisects ∠𝐸𝑃𝑂

c)

PH bisects ∠𝑃𝐸𝑂

d)

 PH  bisects ∠𝑃𝑂𝐸


34.

  Which of the following reasons justifies PH ≅ PH?

a)

Associative

b)

Commutative

c)

Transitive

d)

Reflexive

35.

What other information must be added in the figure above to prove ⊿ 𝐻𝐸𝑃 ≅⊿ 𝐻𝑂𝑃 by SAS Postulate?

a)

EH≅EP

b)

OP≅EP

c)

OH≅EP

d)

OH≅HP

36.

   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?

a)

  No, because an equiangular triangle is also equilateral.

b)

Yes, because not all equiangular triangles are equilateral.

c)

Yes, because a triangle is not equilateral if it is equiangular.

d)

No, because two sides of an equiangular triangle must be equal.

37.

  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?


a)

AAS

b)

SSS

c)

SAS

d)

ASA

38.

If ∆BUN ≅ ∆DLE, BN is 3.15 cm, BU is 5.90 cm, what is the length of DE?

a)

3.15 cm

b)

5.90 cm

c)

2.75 cm

d)

9.05 cm

39.

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?

a)

SAS

b)

AAS

c)

ASA

d)

SSS

40.

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?

a)

∆𝐶𝐺𝑆 ≅ ∆𝐴𝐸𝑁

b)

∆𝐶𝐺𝑆 ≅ ∆𝐻𝐸𝑁

c)

∆𝑆𝐶𝐺 ≅ ∆𝐴𝐸𝑁

d)

∆𝑆𝐶𝐺 ≅ ∆𝑁𝐸H