Free Printable Reasoning w/properties, defn, postulates

1.

Which reason justifies the statement below?

CD + DE = CE and DE = XY, then CD + XY = CE

a)

Segment Addition Postulate

b)

Substitution Property

c)

Symmetric Property

d)

Transitive Property

2.

Which reason justifies the statement below?

If MN = PQ, then MN ≅ PQ.

a)

Definition of Congruence

b)

Definition of Midpoint

c)

Reflexive Property

d)

Symmeric Property

3.

Which reason justifies the statement below?

BC + CD = EF and EF = GH + JK, then BC + CD = GH + JK

a)

Segment Addition Postulate

b)

Addition Property

c)

Subtraction Property

d)

Transitive Property

4.

Which reason justifies the statement below?

AB + CD = CD + EF, then AB = EF.

a)

Addition Property

b)

Subtraction Property

c)

Reflexive Property

d)

Substitution Property

5.

Which reason justifies the statement below?

If AB ⊥ MN, then <MNB is a right angle.

a)

Complement Thereom

b)

Definition of Complementary Angles

c)

Definition of Right Anlge

d)

Definition of Perpendicular

6.

Which reason justifies the statement below?

If <T and <U are complementary, then <T + <U = 90^∘.

a)

Complements Theorem

b)

Definition of Right Angles

c)

Definition of Complementary Angles

d)

Congruent Complements Theorem

7.

Which reason justifies the statement below?

<4 ≃ <2

a)

Defintion of Congruence

b)

Definition of Vertical Angles

c)

Angle Addition Postulate

d)

Supplements Theorem

8.

Which reason justifies the statement below?

m<ABC + m<DBC = m<DBA

a)

Angle Addition Postulate

b)

Definition of Angle Bisector

c)

Definition of Congruence

d)

Addition Property

9.

Which reason justifies the statement below?

If <T and <U are supplementary, then <T + <U = 180^∘.

a)

Definition of Complementary Angles

b)

Definition of Supplementary Angles

c)

Complements Theorem

d)

Supplements Theorem

10.

Which reason justifies the statement below?

s(t +u) = st + su

a)

Multiplication Property

b)

Distributive Property

c)

Reflexive Property

d)

Symmetric Property

11.

Which reason justifies the statement below?

GH = GH

a)

Congruence Theorem

b)

Reflexive Property

c)

Symmetric Property

d)

Transitive Property

12.

Which reason justifies the statement below?

If WX = YZ, then YZ = WX.

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

13.

Which reason justifies the statement below?

AC + CD = AD

a)

Angle Addition Postulate

b)

Addition Property

c)

Segment Addition Postulate

d)

Definition of a Midpoint

14.

If an angle measures $90\degree$ then it is

a)

perpendicular

b)

a right angle

c)

supplementary

d)

complementary

15.

If M is the midpoint of AB then

a)

it is a linear pair

b)

then angles are congruent

c)

AM + MB = AB

d)

the angles are supplementary

16.

$If\ qt\ -\ qr\ =\ 12f;\ then\ q\left(t\ -\ r\right)=12f$

demonstrates which property?

a)

Reflexive

b)

Transitive

c)

Multiplication

d)

Distributive

17.

If $y\ =\ x\ and\ 5p\ +\ 2y\ =\ 17t$ then

a)

5x + 2y = 17y

b)

5p + 2x = 17t

c)

p = 15ty

d)

none of these

e)

n

18.

Which statement is a biconditional?

a)

$y\ =\ 2\ if\ and\ only\ if\ x\ =\ 2$

b)

$y\ =\ 2\ only\ if\ x\ =\ 2$

c)

$if\ x\ =\ 2\ then\ y\ =\ 2$

d)

$y\ =\ 2\ if\ x\ =\ 2$

19.

Which is the converse of:

If a = b, then x

a)

a = b if and only if x

b)

If b = a then x

c)

if a $\ne$ b then not x

d)

If x then a = b

20.

Combine the following into a biconditional statement (choose all that apply):

If yes then no. If no then yes.

a)

Yes if and only if no

b)

No only if yes

c)

Yes only if no

d)

No if and only if yes

21.

Given: $q\ if\ and\ only\ if\ p$

what are the conditional and converse statements? (choose 2)

a)

q only if p

b)

if p then q

c)

if q then p

d)

if q then not p

22.

What is the hypothesis of this statement?

If it is a waiver day then we don't have school.

a)

It is waiver day

b)

We don't have school

c)

Monday

d)

Tuesday

23.

If 3 lines lie in a plane then the lines are?

a)

collinear

b)

cooperating

c)

coangular

d)

coplanar

24.

If 2 lines intersect to form a right angle then...

a)

the lines are collinear

b)

the lines are perpendicular

c)

the angles are vertical

d)

the lines are adjacent.

25.

If 2 angles have the same vertex, share a common side and have no common interior points then the angles are?

a)

adjacent

b)

vertical

c)

complementary

d)

right

26.

If 2 planes intersect then their intersection is?

a)

a point

b)

an angle

c)

coplanar

d)

a line

27.

2 points determine a _______

3 noncollinear points determine a ______

a)

line

space

b)

length

area

c)

line

plane

d)

plane

line

28.

If 2 points lie in a plane then...

a)

the line containing them lies in a plane.

b)

their intersection is a line.

c)

they are adjacent angles.

d)

their intersection is a point.

29.

Rewrite the following as a conditional statement.

Time stands still if the world stops turning.

a)

If time stands still then the world stops turning.

b)

The world stops turning IFF time stands still.

c)

Time stands still IFF the world stops turning.

d)

If the world stops turning then time stands still.

30.

2 lines that do not intersect and are not coplanar are?

a)

intersecting

b)

coplanar

c)

skew

d)

parallel

31.

Which is the correct formula to find the distance between 2 points?

a)

$\left(\frac{\text{x + x}}{2},\frac{y+y}{2}\right)$

b)

$y=mx+b$

c)

$\sqrt[]{\left(x+x\right)^2+\left(y-y\right)^2}$

d)

$\sqrt[]{\left(x-x\right)^2+\left(y-y\right)^2}$

32.

If 2 angles are a linear pair then...

choose the best answer

a)

they are collinear

b)

they are supplementary

c)

they are equal

d)

they are perpendicular

33.

Vertical angles are adjacent.

a)

sometimes

b)

always

c)

never

34.

Linear pair angles are congruent.

a)

sometimes

b)

always

c)

never

35.

Which of the following shows a pair of opposite rays?

a)

b)

c)

d)

Reasoning w/properties, defn, postulates

Total questions: 35

Worksheet time: 24mins

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