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1.

Which of the following does NOT describe a mathematical system?

a)

intersecting lines

b)

postulate and axioms

c)

theorems

d)

undefined and defined terms

2.

What component of a mathematical system includes a category or has definition such as a ray and an angle?

a)

defined terms

b)

postulates

c)

theorems

d)

undefined terms

3.

Which is not a postulate?

a)

A line contains at least two points.

b)

Vertical angles are equal in measure.

c)

Through any two points, there is exactly one line.

d)

A plane contains at least three points that are non-collinear.

4.

Based on research from UP Diliman Institute of Biology, mangroves are better than dolomite for Manila Bay rehabilitation.

a)

defined terms

b)

postulates

c)

theorems

d)

undefined terms

5.

Which mathematical system does NOT require a definition but it is used as a basis in defining other terms.

a)

defined terms

b)

postulates

c)

theorems

d)

undefined terms

6.

Which describes a point?

a)

a straight path

b)

an exact location

7.

The following are the possible names for the line illustrated below except _____. Consider a straight line labeled t with collinear points R (left), S (middle), and T (right) on it; a point P is shown above S and not on line t.

a)

$\overleftrightarrow{RS}$

b)

$\overleftrightarrow{ST}$

c)

$\overleftrightarrow{RT}$

d)

$\overleftrightarrow{RP}$

8.

What is a line segment?

a)

A curve set of points that goes infinitely in both directions.

b)

A straight set of points that goes infinitely in both directions.

c)

A straight set of points that goes infinitely in only one direction.

d)

A straight set of points that has two endpoints.

9.

What will be the conclusion if AL bisects ∠SAT?

a)

m ∠SLA = m ∠TLA

b)

m ∠SAL = m ∠TAL

c)

$SL=\overline{l}$

d)

$AL=LS$

10.

Which would be the result of $-2(x-y)$ , if the Distributive property is applied?

a)

$2x+y$

b)

$2x-2y$

c)

$-2x+2y$

d)

$-2x+y$

11.

For the figure described: Two planes labeled M (left) and N (right) intersect. Points X and Y lie on plane M; points W and Z lie on plane N; a point S is shown below the planes. Name the points that determine plane M.

a)

S, Y, X

b)

S, W, Z

c)

X, Y, Z

d)

W, X, Z

12.

For the same figure of intersecting planes M and N with points X, Y on M and W, Z on N: What is the intersection of planes M and N?

a)

$\overleftrightarrow{SY}$

b)

$\overleftrightarrow{WX}$

c)

$\overleftrightarrow{YZ}$

d)

$\overleftrightarrow{XZ}$

13.

Which of the following statements is not true about theorem?

a)

A theorem does not require proof.

b)

The proven theorem can be used to prove other theorems.

c)

A theorem is a statement whose truth needs to be proved.

d)

The basis of theorems is true facts such as defined terms and axioms.

14.

Which of the following statement/s is/are true? i. All corresponding sides of congruent triangles are congruent. ii. All corresponding angles of congruent triangles are congruent. iii. Congruent figures have the same size and shape.

a)

I and II

b)

I and III

c)

II and III

d)

I, II and III

15.

Complete the statement: If ΔTEN ≅ ΔSIX, then ΔXSI ≅

a)

ΔETN

b)

ΔNTE

c)

ΔENT

d)

ΔTNE

16.

What symbol is used to show congruency between figures?

a)

≅

b)

¿

c)

=

d)

↔

17.

Which of the following illustrates ΔRUT ≅ ΔHUT? Choose the option that shows RU ≅ HU, RT ≅ HT, and UT common, based on the tick marks.

a)

Option A

b)

Option B

c)

Option C

d)

Option D

18.

Which of the following pairs of figures are not congruent? Select the option where the two figures do not have the same size and shape.

a)

Option A

b)

Option B

c)

Option C

d)

Option D

19.

If □MUTE ≅ □FOIL, what angle is congruent to ∠LIO?

a)

∠TEM

b)

∠TUM

c)

∠UTM

d)

∠ETU

20.

Which congruence postulate/theorem is illustrated in the figure?

a)

ASA

b)

SAA

21.

In the figure, what is the third pair of corresponding part that must be congruent to prove that the two triangles are congruent by SAA postulate?

a)

$\angle E \cong \angle J$

b)

$\angle G \cong \angle G$

c)

$EG \cong JG$

d)

$EF \cong JH$

22.

What triangle congruence postulate/theorem states that “If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent”?

a)

ASA (Angle-Side-Angle) Congruence Postulate

b)

SAA (Side-Angle-Angle) Congruence Theorem

c)

SAS (Side-Angle-Side) Congruence Postulate

d)

SSS (Side-Side-Side) Congruence Postulate

23.

What is a valid conclusion if $\angle x$ and $\angle y$ are supplementary?

a)

$m\angle x = m\angle y$

b)

$m\angle x \ne m\angle y$

c)

$m\angle x + m\angle y = 90^\circ$

d)

$m\angle x + m\angle y = 180^\circ$

24.

What triangle is congruent to $\triangle GOL$ by SAS congruence postulate?

a)

$\triangle EOB$

b)

$\triangle EBO$

c)

$\triangle BOE$

d)

$\triangle GOB$

25.

Refer to the problem: If the corresponding sides of two billiard triangular racks measure $(13x - 5)$ in. and $(5x + 5)$ in., which of the following is the correct mathematical equation to solve for the value of $x$ ?

a)

$13x - 5 = 5x + 5$

b)

$13x - 5 = 180^\circ$

c)

$(13x - 5) + (5x + 5) = 180^\circ$

d)

$(13x - 5) - (5x + 5) = 180^\circ$

26.

Refer to the problem: If the corresponding sides of two billiard triangular racks measure $(13x - 5)$ in. and $(5x + 5)$ in., what is the value of $x$ ?

a)

$x=1.25$

b)

$x=5.25$

c)

$x=10.25$

d)

$x=15.25$

27.

How long are the congruent sides?

a)

8e.

b)

11.25e.

c)

14.50e.

d)

x=17e.

28.

For items 29 to 32 refer to the given problem below: A private resort installed 2 additional triangular pools, as an added attraction to their clients. Triangular pool ABS is congruent with the triangular pool PRD. Two sides of the triangular pool ABS measure 56 ft. and 60 ft., while one of the sides of triangular pool PRD measures (3x+2) ft. Using the given illustration, find the measure of the 3rd side of the triangular pool ABS and find the perimeter of the triangular pool PRD. Which of the following is the correct mathematical equation to solve for the value of x to get the measure of PR?

a)

$2-4=x+10$

b)

$2x-4+x+10$

c)

$2x-4+x+10=180$

d)

$2x-4+x+10+3x+2=180$

29.

For items 29 to 32 refer to the given problem below: A private resort installed 2 additional triangular pools, as an added attraction to their clients. Triangular pool ABS is congruent with the triangular pool PRD. Two sides of the triangular pool ABS measure 56 ft. and 60 ft., while one of the sides of triangular pool PRD measures (3x+2) ft. Using the given illustration, find the measure of the 3rd side of the triangular pool ABS and find the perimeter of the triangular pool PRD. What is the value of x?

a)

7

b)

14

c)

21

d)

28

30.

For items 29 to 32 refer to the given problem below: A private resort installed 2 additional triangular pools, as an added attraction to their clients. Triangular pool ABS is congruent with the triangular pool PRD. Two sides of the triangular pool ABS measure 56 ft. and 60 ft., while one of the sides of triangular pool PRD measures (3x+2) ft. Using the given illustration, find the measure of the 3rd side of the triangular pool ABS and find the perimeter of the triangular pool PRD. What is the measure of PR?

a)

23 ft.

b)

30 ft.

c)

44 ft.

d)

60 ft.

31.

For items 29 to 32 refer to the given problem below: A private resort installed 2 additional triangular pools, as an added attraction to their clients. Triangular pool ABS is congruent with the triangular pool PRD. Two sides of the triangular pool ABS measure 56 ft. and 60 ft., while one of the sides of triangular pool PRD measures (3x+2) ft. Using the given illustration, find the measure of the 3rd side of the triangular pool ABS and find the perimeter of the triangular pool PRD. Which of the following is the perimeter of the triangular pool PRD.

a)

139 ft.

b)

146 ft.

c)

160 ft.

d)

176 ft.

32.

In an isosceles triangle, each of the following information is true, EXCEPT:

a)

Two sides of the triangle are congruent.

b)

The median to the base bisects the base.

c)

Base angles are congruent.

d)

The altitude to the base bisects each base angle.

33.

The pairing or matching of the vertices of two triangles is called a one-to-one correspondence between the vertices of the triangles. Which is the correct correspondence between ΔABC and ΔDEF?

a)

A ↔ F, E ↔ B, C ↔ D

b)

A ↔ D, B ↔ E, C ↔ F

c)

A ↔ C, B ↔ D, F ↔ E

d)

A ↔ D, E ↔ A, F ↔ B

34.

Given the triangles on the right, which of the following does not belong to the pairs of corresponding parts?

a)

AB ≅ KM

b)

AB ≅ LM

c)

AC ≅ KL

d)

BC ≅ ML

35.

Which of the following states that, “If two sides of a triangle are congruent, then the angles opposite them are also congruent”?

a)

CPCTC

b)

Converse of Isosceles Triangle Theorem

c)

Equilateral Triangle Theorem

d)

Isosceles Triangle Theorem

36.

Given the figure, ΔNCR ≅ ΔOCR. What is the measure of ∠CRN if ∠RCO = 25° and ∠N = 65°?

a)

60°

b)

70°

c)

80°

d)

90°

37.

Find the value of x so that ΔABC ≅ ΔPQR by the indicated postulate or theorem.

a)

6

b)

7

c)

8

d)

9

38.

Suppose XZ ≅ BZ, YZ ≅ AZ, ∠XYZ ≅ ∠BAZ, which of the following statement is true?

a)

ΔABZ ≅ ΔXYZ

b)

ΔXYZ ≅ ΔBZA

c)

ΔYZX ≅ ΔBAZ

d)

ΔBAZ ≅ ΔXYZ

39.

In the figure at the right, ΔFIA ≅ ΔHIT, what is the side corresponding to FA?

a)

FI

b)

AI

c)

IT

d)

HT

40.

In the figure at the right, what will be the reason so that MO ≅ MO?

a)

Given

b)

Congruent sides

c)

Reflexive Property

d)

Symmetric Property

41.

Which of the following correspondence is equivalent to ABC ↔ KLM?

a)

ACB ↔ LMN

b)

ACB ↔ KLM

c)

BAC ↔ LKM

d)

CBA ↔ KML

42.

ΔGIV ≅ ΔREV, deduce statement about V.

a)

V is in the interior of ΔGIV

b)

V is in the exterior of ΔREV

c)

V is the midpoint of IE

d)

V is collinear with G and I

43.

ΔTIN ≅ ΔCAN, then ΔNAC is congruent to ____.

a)

ΔITN

b)

ΔNIT

c)

ΔTNI

d)

ΔACN

44.

ΔTAN is an isosceles triangle, K is the midpoint of line segment TN. If AK bisects ∠TAN then ____________.

a)

∠ATK ≅ ∠ANK

b)

∠TAK ≅ ∠NAK

c)

∠KAT ≅ ∠ANK

d)

∠TAN ≅ ∠TAN

45.

What do perpendicular lines form?

a)

Right angles

b)

Two equal segments

c)

Two intersecting lines

d)

Two equal segments and right angles

46.

Refer to the figure on the right. If AD bisects ∠CAB and ∠CAB = 70°, what is the measure of ∠1?

a)

35°

b)

45°

c)

60°

d)

70°

47.

What does equidistant mean?

a)

Congruent

b)

Congruent angles

c)

Perpendicular

d)

The same distance to a figure

48.

In the figure, MN ⟂ LP. What is the reason why ∠MNL ≅ ∠MNP?

a)

Right angle theorem

b)

Definition of Perpendicularity

c)

Definition of angle bisector

d)

Definition of right angle

Page 1

Total questions: 48

Worksheet time: 24mins

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