Free Printable Q3 - Math 8

1.

What is the if-then form of “A group is a dozen if it has 12 objects”?

a)

If a group does not have 12 objects, then it is not a dozen.

b)

If a group is not a dozen, then it does not have 12 objects.

c)

If a group has 12 objects, then it is a dozen.

d)

A group is a dozen if and only if it has 12 objects.

2.

Which statement is the converse of “If the sum of two angles is 180°, then the angles are supplementary”?

a)

If two angles are supplementary, then their sum is 180°.

b)

If the sum of two angles is not 180°, then the angles are not supplementary.

c)

If two angles are not supplementary, then their sum is not 180°.

d)

If the sum of two angles is not 180°, then the angles are supplementary.

3.

Two triangles are congruent if and only if there is a correspondence between the vertices such that each pair of corresponding sides and each pair of corresponding angles are congruent. This statement is an example of ________________.

a)

bi-conditional

b)

conclusion

c)

converse

d)

hypothesis

4.

Which best describes deductive reasoning?

a)

using logic to draw conclusions based on accepted statements

b)

accepting the meaning of a term without definition

c)

defining mathematical terms to correspond with physical objects

d)

inferring a general truth by examining a number of specific examples

5.

What is direct proof?

a)

A proof that assumes a statement's hypothesis is true and uses a series of logical deductions to conclude that the statement's conclusion is true.

b)

A proof that assumes that the statement being proven is false and then attempts to find a contradiction to that assumption proving the original statement to be true.

c)

A proof that always involves the multiplication of two values.

d)

A proof that can only use number properties to show that a certain statement is false.

6.

What property of equality is illustrated by the statement,

If AB = CD, then CD = AB.

a)

Substitution

b)

Symmetric

c)

Reflexive

d)

Distribution

7.

A pair of congruent triangles is shown as marked. Which statement must be true?

a)

$\angle DCA\cong\angle CAB$

b)

$\angle DCB\cong\angle DAB$

c)

$CD\cong AB$

d)

$AD\cong AB$

8.

Given $AB\cong DE$ and $\angle A\cong\angle D$ , and $\angle B\cong\angle E$ . Which can prove that $\Delta ABC\cong\Delta DEC$ ?

a)

ASA

b)

SAA

c)

SAS

d)

SSS

9.

If $\Delta ABC\cong\Delta DEF$ , which segment is congruent to AB?

a)

BC

b)

DE

c)

DF

d)

EF

10.

If $\overline{AB}$ bisect $\angle CAD$ , which is NOT true?

a)

$\angle CAB\cong\angle BAD$

b)

B is in the interior of $\angle CAD$

c)

$\overline{AB}\cong\overline{AC}\cong\overline{AD}$

d)

$m\angle CAD=m\angle CAB+m\angle BAD$

11.

Supply the valid conclusion for the given hypothesis:

If $\overrightarrow{OM}$ bisect $\angle LON$ , then ______________.

a)

$\angle LOM\cong\angle NOM$

b)

$\angle MON\cong\angle NOL$

c)

$\angle LOM\cong\angle LO$

d)

$\overrightarrow{OM}\cong\overrightarrow{ON}$

12.

What is the contrapositive of “If x = 3, then 5x – 2 = 13”?

a)

5x-2=13 if and only if x=3.

b)

If x $\ne$ 3, then 5x-2 $\ne$ 13.

c)

If 5x-2=13. then x=3.

d)

If 5x-2 $\ne$ 13, then x $\ne$ 3

13.

What is the inverse of “If water is ice, then the water’s temperature is $32\degree F$ ”?

a)

If water’s temperature is $32\degree F$ , then it is ice.

b)

If water is not ice, then its temperature is not $32\degree F$ .

c)

If water’s temperature is not $32\degree F$ , then water is not ice.

d)

Water is ice if and only if its temperature is $32\degree F$ .

14.

Use the figure, $\Delta FAC\cong\Delta GEC$ . Which statement can NOT be proven?

a)

$AF\cong GE$

b)

$\angle FCA\cong GCE$

c)

$\angle CAF\cong\angle CDG$

d)

$AC\cong EC$

15.

Refer to the figure, AC bisect $\angle BAD$ and $\angle BCD$ . Which of the following can be used to prove that $\Delta ABC\cong\Delta ADC$ ?

a)

ASA

b)

SAA

c)

SAS

d)

SSS

16.

In the diagram shown below, $SW\cong XW$ , and $YW\cong RW$ . Therefore, the conclusion that $\Delta SWR\cong\Delta XWY$ is based on the __________.

a)

SAS

b)

ASA

c)

SSS

d)

Alternate Interior Angles are Congruent

17.

In $\Delta MAC$ and $\Delta RON$ their parts correspond to each other. Which is TRUE about $\Delta MAC$ and $\Delta RON$ ?

i. $M\leftrightarrow R$

ii. $\angle A\cong\angle N$

iii. $\overline{AC}\cong\overline{ON}$

a)

i and ii

b)

ii and iii

c)

i and iii

d)

not here

18.

In $\Delta MAT$ , if $\overline{AH}$ is a perpendicular bisector of $\overline{MT}$ at H, which is NOT true?

a)

$\overline{MH}\cong\overline{HT}$

b)

$\overline{MA}\cong\overline{AT}$

c)

$\Delta MAH\cong\Delta TAH$

d)

$\overline{MA}\cong\overline{MT}$

19.

Which if-then statement will provide a converse statement that is NOT true?

a)

If a triangle is equiangular, then the triangle is equilateral.

b)

If a + d = c + d, then a = c.

c)

If a figure is a square, then it is a rectangle.

d)

If two angles are complementary, then the sum of their measures equal 90^o.

20.

What is the possible reason for statement #2?

a)

Definition of right angle

b)

Definition of right triangle

c)

Definition of midpoint

d)

Any two right angles are congruent.

21.

For #4 statement, if B is the midpoint of AC, what can you say about AB and BC?

a)

AB is between A and C

b)

AB + BC = AC

c)

AB and BC are hypotenuse

d)

$AB\cong BC$

22.

What reason will support the statement in #4?

a)

B is the midpoint of AC

b)

the statement is already given

c)

B is between AC

d)

$\Delta ABE\cong\Delta CBD$

23.

Which will support the statement that $\Delta ABE\cong\Delta CBD$ ?

a)

HL theorem

b)

HA theorem

c)

LA theorem

d)

LL theorem

24.

Which will support the statement that $\angle A\cong\angle C$ ?

a)

Definition of congruent angles

b)

CPCTC

c)

SAS congruency

d)

SSA congruency

25.

Which object represents a line?

a)

intersection of two strings

b)

a cardboard

c)

intersection of a ceiling and a wall

d)

sheet of a paper

26.

"A plane contains at least three non-collinear points".

Which term classifies the given statement?

a)

Undefined term

b)

Defined term

c)

Postulate

d)

Theorem

27.

"Instead of providing a definition for them, we resort to illustration, description or demonstration".

Which term refers to the statement above?

a)

Undefined term

b)

Defined term

c)

Postulate

d)

Theorem

28.

Which statement BEST describes a mathematical system?

a)

It is a logical way of solving a certain thing.

b)

It is essential in dealing with real life problems.

c)

It has three parts which are vocabulary, geometric shapes and principles.

d)

It is composed of undefined terms, defined terms, definitions, postulates and theorems.

29.

It consist of some undefined terms and a list of statements, called axioms or postulates, concerning the undefined terms.

a)

System of equations

b)

Axiomatic system

c)

Rectangular coordinate system

d)

System of inequalities

30.

What is the value of x?

a)

5

b)

7

c)

8

d)

12

Q3 - Math 8 - Summative Test

Total questions: 30

Worksheet time: 3hrs 30mins

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