Question 1

How many solutions does a linear inequality in two variables have?

Accepted Answer

2

Answer

0

Answer

infinite

Answer

1

Question 2

Which point will make the following not a function? (3,7) (2,4) (5,2) (6,3)

Accepted Answer

(3, 12)

Answer

(10, 12)

Answer

(8, 7)

Answer

(9, 12)

Question 3

If f(x) = 4x - 3. find f(5)

Accepted Answer

17

Answer

10

Answer

5.75

Answer

6

Question 4

Find (f + g)(x), if f(x) = 2x and g(x) = 5.

Accepted Answer

2x + 5

Answer

2x - 5

Answer

-2x - 5

Answer

-2x + 5

Question 5

These are statements that can be proven true.

Accepted Answer

theorem

Answer

postulate

Answer

axiom

Answer

corollary

Question 6

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

Accepted Answer

SAS

Answer

SSS

Answer

ASA

Answer

SAA or SAA

Question 7

If two planes intersect, then their intersection is a line.

Accepted Answer

plane intersection postulate

Answer

line postulate

Answer

flat plane postulate

Answer

plane postulate

Question 8

These are statements that are accepted as true without doing any proof.

Accepted Answer

postulate

Answer

corollary

Answer

theorem

Answer

definition

Question 9

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Accepted Answer

ASA

Answer

SAS

Answer

SSS

Answer

SAA

Question 10

It has no dimension (thickness, length, and width).

Accepted Answer

point

Answer

segment

Answer

line

Answer

plane

Question 11

If two angles and the non-included side of one triangle is congruent to two angles and the non-included side of another triangle then the two triangles are congruent .

Accepted Answer

SAA

Answer

ASA

Answer

SAS

Answer

SSS

Question 12

Use the inductive reasoning to find the next five terms of each sequence. (1, 2, 4, 8, 16)

Accepted Answer

32, 64, 128, 256, 512

Answer

32, 64, 128, 256, 513

Answer

24, 40, 64, 104, 169

Answer

24, 40, 64, 104, 168

Question 13

∆ABC≅ ∆DEF, which segment is congruent toAB?

Accepted Answer

DE

Answer

EF

Answer

FE

Answer

DF

Question 14

Inductive reasoning is reasoning based on what?

Accepted Answer

facts

Answer

guesses

Answer

random events

Answer

observations

Question 15

Janel bought three apples and two oranges. The total amount she paid was at most Php 123. If x represents the cost of each apple and y the cost of each orange, which of the following mathematical statements represents the given situation?

Accepted Answer

3x + 2y ≥ 123

Answer

3x + 2y ≤ 123

Answer

3x + 2y < 123

Answer

3x + 2y > 123

Question 16

Adeth has some Php 10 and Php 5 coins. The total amount of these coins is at most Php 750. Suppose there are 50 Php 5-coins. Which of the following is true about the number of Php 10-coins?
I.	The number of Php 10-coins is less than the number of Php 5-coins.
II.	The number of Php 10-coins is more than the number of Php 5-coins.
III.	The number of Php 10-coins is equal to the number of Php 5-coins.

Accepted Answer

II and III

Answer

I and II

Answer

I, II, and III

Question 17

The total amount Cora paid for 2 kilos of beef and 3 kilos of fish is less than Php 700. Suppose a kilo of beef costs Php 250. What could be the maximum cost of a kilo of fish to the nearest pesos?

Accepted Answer

Php 67

Answer

Php 66

Answer

Php 60

Answer

Php 65

Question 18

Which is not linear function

Accepted Answer

g(x) = x*2 + 5

Answer

g(x) = 2x + 5

Answer

g(x) =10x +1

Answer

g(x) = 5x

Question 19

If ${garbage is disposed properly}$, then dengue diseases will be prevented. What do you call the italic portion in this conditional statement?

Accepted Answer

hypothesis

Answer

the converse

Answer

conclusion

Answer

argument

Question 20

Which of the following statements is true?

Accepted Answer

If ∠1 has a measure of 35°, then ∠1 is acute.

Answer

If ∠1 has a measure of 140°, then ∠1 is acute.

Answer

If ∠1 has a measure of 90°, then ∠1 is obtuse.

Answer

If ∠1 has a measure of 180°, then ∠1 is right.

Question 21

What is the inverse of the statement “If the number is divisible by 2 and 3, then it is divisible by 6?”

Accepted Answer

If the number is divisible by 6, then it is divisible by 2 and 3.

Answer

If the number is not divisible by 6, then it is not divisible by 2 and 3.

Answer

If the number is divisible by 2 and 3, then it is not divisible b 6.

Answer

If the number is not divisible 2 and 3, then it is not divisible by 6.

Question 22

Given the two triangles, ∆ABC and ∆DEF, and AB ≅ DE, ∠A ≅ ∠D, and ∠B ≅ ∠E. Which method can be used to prove ∆ABC and ∆DEF?

Accepted Answer

ASA

Answer

SSS

Answer

HL

Answer

SAS

Question 23

The converse of the statement: “If you are in love, then you are inspired,” is

Accepted Answer

If you are inspired, then you are in love.

Answer

If you are not inspired, then you are not in love.

Answer

If you are in love, then are not inspired.

Answer

If you are not in love, then you are not inspired.

Question 24

The If-then form of the statement “Parallel lines never intersect,” is:

Accepted Answer

If two lines are parallel, then they never intersect.

Answer

If two lines intersect, then they are parallel.

Answer

If two lines are not parallel, then they intersect.

Answer

If two lines intersect, then they are not parallel.

Question 25

Which of the following best describes deductive reasoning?

Accepted Answer

Inferring a general truth by examining a number of specific examples.

Answer

Accepting the meaning of a term without definition.

Answer

Defining mathematical terms in relation to physical objects.

Answer

Using logic to draw conclusions based on accepted statements.

Question 26

Is the statement “corresponding parts of congruent triangles are congruent” based on

Accepted Answer

postulate

Answer

definition

Answer

axiom

Answer

theorem

Question 27

If two points of a line are in a plane, then the line containing those points are also contained in the given plane.

Accepted Answer

flat plane postulate

Answer

plane postulate

Answer

line postulate

Answer

plane intersection postulate

Question 28

Which of the following cannot be used to prove that two triangles are congruent?

Accepted Answer

AAA

Answer

SAS

Answer

SSS

Answer

AAS

Question 29

What is the inverse of the statement “If Mike did his homework, then he will pass this test”?

Accepted Answer

If Mike did not do his homework, then he will not pass this test.

Answer

If Mike does not pass this test, then he did not do his homework.

Answer

If Mike does not pass this test, then he only did half his homework.

Answer

If Mike passes this test, then he did his homework.

Question 30

What is the converse of this conditional statement: If the table top is rectangular, then its diagonals are congruent?

Accepted Answer

If the diagonals of a table top are congruent, then it is rectangular.

Answer

If the table top is not rectangular, then its diagonals are not congruent.

Answer

If the diagonals of the table top are not congruent, then it is not rectangular.

Answer

If the table top is rectangular, then its diagonals are congruent.

Question 31

It has a length and width that extends in all directions.

Accepted Answer

plane

Answer

point

Answer

line

Answer

dot

Question 32

Which of the conditional statement for the following statement? Cardinals are red birds

Accepted Answer

If a cardinal is red, then it is a bird.

Answer

If a cardinal is not red, then it is a not bird.

Answer

If a bird is red, it is a cardinal.

Answer

If a bird is a cardinal, it is red.

Question 33

It is the set of the first element or first coordinates.

Accepted Answer

domain

Answer

range

Answer

abscissa

Answer

ordinate

Question 34

Find  the converse of "If the triangle has 3 equal sides, then the triangle is equilateral".

Accepted Answer

If triangle is equilateral, then the triangle has 3 equal sides.

Answer

If the triangle has no 3 equal sides, then the triangle is not  equilateral.

Answer

none of these

Answer

If triangle is not equilateral, then the triangle has no 3 equal sides.

Question 35

When taking the converse of a statement we ________the hypothesis and conclusion.

Accepted Answer

switch

Answer

negate

Answer

highlight

Answer

switch and negate

Question 36

If it a triangle, then it has three sides. What is the conclusion?

Accepted Answer

It a triangle

Answer

It has three sides

Answer

It's sum to 180

Answer

It is a polygon

Question 37

Triangle ABC is congruent to triangle DEF. Which side is congruent to side BC?

Accepted Answer

EF

Answer

DF

Answer

ED

Answer

DE

Question 38

Triangle ABC is congruent to triangle XYZ. Which angle corresponds to angle A?

Accepted Answer

X

Answer

Z

Answer

None of these

Answer

Y

Question 39

Symbols used for 1 — 1 correspondence is

Accepted Answer

↔

Answer

↓

Answer

↕

Answer

→

Question 40

Congruency of triangles are symbolically written as

Accepted Answer

≅

Answer

∼

Answer

µ

Answer

≡

Question 41

Miguel knows that in ∆MIG and ∆JAN,IG ≅ AN , andMG =JN . Which postulate or theorem can he use to prove the triangles congruent?

Accepted Answer

SAS

Answer

SAA

Answer

ASA

Answer

SSS

Question 42

If the hypotenuse and leg of a right triangle is congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent by :

Accepted Answer

HL

Answer

AAS

Answer

SSS

Answer

CPCTC

Question 43

What are the 5 postulates to prove triangles congruent?

Accepted Answer

SSS, SAS, ASA, AAS, HL

Answer

SSS. ASA, AAS, ITT, HL

Answer

SSS, ASS, SAS, AAS, HL

Answer

SSS, SAS, ASA, AAS, AAA

Question 44

If the triangle is isosceles and their sides are 4x -10 and 12x + 46, respectively, what is the value of x.

Accepted Answer

x = -7

Answer

x = 7

Answer

x = 9

Answer

x = -9

Question 45

What is true about every isosceles right triangle?

Accepted Answer

It has no obtuse angles

Answer

It has no equal sides

Answer

It has three equal sides

Answer

It has three acute angles

Question 46

∆LUV ≅ ∆GOD , What side is corresponding to LU ?

Accepted Answer

GO

Answer

OG

Answer

OD

Answer

DO

Question 47

Jane knows that in ∆BAY≅∆WOK,BA =WO, AY=OK and BY=WK. Which posrulate or theorem can he use to prove the triangles are congruent?

Accepted Answer

SSS

Answer

ASA

Answer

AAS

Answer

SAS

Question 48

Which of these is NOT a triangle congruence postulate?

Accepted Answer

AAA

Answer

SAS

Answer

ASA

Answer

AAS

Question 49

What does CPCTC stand for?

Accepted Answer

Corresponding Parts of Congruent Triangles are Congruent

Answer

Congruent Pars of Corresponding Triangles are Congruent

Answer

Corresponding Part of Corresponding Triangles are Congruent

Answer

Congruent Parts of Congruent Triangles are Corresponding

Question 50

Find the inverse of the relation described by the set of ordered pairs {(1, -2), (2, 4), (3, 6), (4, 8), (5, 10)}.

Accepted Answer

{(-2, 1), (4, 2), (6, 3), (8, 4), (10, 5)}

Answer

{(1, -2), (2, 4), (3, 6), (4, 8), (5, 10)}

Answer

{(-1, 2), (-2, -4), (-3, -6), (-4, -8), (-5, -10)}.

Answer

{(2, -1), (-4, -2), (-6, -3), (-8, -4), (-10, -5)}

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