Free Printable Laws and postulates and proofs, oh my!

1.

Identify the property that illustrates the statement below:

If $BC=XY$ and $XY=10$ , then $BC=10$ .

a)

Transitive Property of Equality

b)

Substitution Property of Equality

c)

Reflexive Property of Congruence

d)

Symmetric Property of Equality

2.

Name the Postulate or Definition that best illustrates the Conditional Statement below:

If $\angle A$ and $\angle B$ are __________, then
$m\angle A+m\angle B=90\degree$ .

a)

Supplementary Angles

b)

Adjacent Angles

c)

Right Angles

d)

Complementary Angles

3.

Complete the statement using the Symmetric Property:

If $KL=RT$ , then __________.

a)

$RT=KL$

b)

$KL=KL$

c)

$4KL=4RT$

d)

$KL+C=RT+C$

4.

Name the Postulate or Definition that best illustrates the statement below:

$m\angle ADB+m\angle BDC=m\angle ADC$

a)

Segment Addition Postulate

b)

Angle Addition Postulate

c)

Definition of Angle Bisector

d)

Definition of Congruent Angles

5.

Name the Postulate or Definition that best illustrates the statement below:
If $O$ is between $FX$ , then $FO+OX=FX$ .

a)

Segment Addition Postulate

b)

Angle Addition Postulate

c)

Definition of Congruent Segments

d)

Vertical Angles Theorem

6.

Identify the property that would solve this equation:

$x-5=17$

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

7.

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

a)

You live in Disney Land

b)

You are an old person.

c)

You live in Florida

d)

You live in Orlando

8.

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

a)

You have more energy

b)

If you exercise regularly, then you have more energy

c)

You have a healthy body

d)

If you do not have a healthy body, then you do not exercise regularly

9.

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

a)

Law of Detachment

b)

Law of Syllogism

c)

Law of Contrapositive

d)

None

10.

Which of the following helps to prove that $\overrightarrow{AD}$ bisects $\angle CAB$ ?

a)

$\angle ABD\ \cong\ \angle ACD$

b)

$\angle CDA\ \cong\ \angle BDA$

c)

$\angle DAC\ \cong\ \angle DAB$

d)

$\angle BCD\ \cong\ \angle CBA$

11.

Once you know $\angle BAD\ \cong\ \angle CAD$ , what guarantees that $\overrightarrow{AD}$ bisects $\angle BAC$ ?

a)

definition of angle bisector

b)

definition of congruence

c)

definition of perpendicular bisector

d)

definition of transitivity

12.

Angle Addition Postulate (AAP)

a)

If B is between A and C, then

AB+BC=AC

b)

If a=b, then a+c = b+c

c)

Adjacent angles can be added together.

m∡ABD+ m∡DBC=m∡ABC

d)

Two angles whose measure add to 180°

13.

Intersecting lines that create right angles.

a)

Definition of Perpendicular Lines

b)

Definition of Perpendicular Bisector

c)

Definition of Right Angle

d)

Definition of Congruent Angles

14.

A point that divides a line segment into two congruent line segments.

a)

Definition of Congruent Segments

b)

Definition of Congruent Angles

c)

Definition of a Midpoint

d)

Definition of Perpendicular Bisector

15.

Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?

a)

Straight Angle Theorem

b)

Congruent Compliments Theorem

c)

Vertical Angles Theorem

d)

Linear Pair Theorem

16.

If AB=50, which definition would explain why AM=25?

a)

Definition of Congruent

b)

Definition of Midpoint

c)

Definition of Segment

17.

If m∠XUZ = 123° and m∠ZUY = 45°, which definition/postulate explains why m∠XUY = 78°?

a)

Definition of Segment Bisector

b)

Definition of Angle Bisector

c)

Angle Addition Postulate

d)

Segment Addition Postulate

18.

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

a)

Definition of Midpoint

b)

Definition of Angle Bisector

c)

Definition of Congruent

d)

Definition of Segment Bisector

19.

Given that ∠ABD ≅∠CBE, what definition allows you to conclude that m∠ABD=m∠CBE?

a)

Definition of Angle Bisector

b)

Definition of Segment Bisector

c)

Definition of Midpoint

d)

Definition of Congruent

20.

Identify the property you would use to solve this equation:
4x = 72

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

21.

What is the correct reason for

Reason #3?

a)

Definition of a Straight Angle

b)

Prove

c)

Definition of a Supplementary Angles

d)

Transitive Property

22.

What is the correct reason for

Reason #4?

a)

Substitution Property

b)

Definition of Complementary Angles

c)

Definition of Supplementary Angles

d)

Subtraction Property

23.

What is Reason #3

a)

Segment Addition Postulate

b)

Definition of Congruent Segments

c)

Addition Property

d)

Substitution Property

24.

What is Reason #2?

a)

Definition of a Linear Pair

b)

Definition of Congruent Angles

c)

Angle Addition Postulate

d)

Definition of a Right Angle

25.

What property is illustrated below?

If

\overline{xy}\cong\overline{ab}

, then

\overline{ab}\cong\overline{xy}

.

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Distributive Property

26.

Which property is illustrated below?

If $\angle DOG\cong\angle BOW$ and $\angle BOW\cong\angle CAT$ , then $\angle DOG\cong\angle CAT$ .

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Substitution Property

27.

What property is illustrated below?

If 4(x - 3) = 23, then 4x - 12 = 23.

a)

Multiplication Property

b)

Distributive Property

c)

Division Property

d)

Substitution Property

28.

Which of the following set of values would correctly complete this table?

a)

T F F F

b)

T T F F

c)

T T T F

d)

F T F T

29.

Which set of truth values would correctly complete this table?

a)

T F T F

b)

F T T T

c)

F F T T

d)

F F F T

30.

Use the logic condition to find the value of X:

A and not B

a)

True

b)

False

31.

Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.

a)

If your insurance rates do not go up , then you have not maid a claim.

b)

If you do not make an insurance claim, then your rates will not go up.

c)

If your insurance rates go up, then you have made an insurance claim.

d)

If you make an insurance claim, then your rates will not go up.

32.

For the inverse we _________ the hypothesis and conclusion

a)

switch

b)

negate

c)

switch and negate

33.

For the contrapositive we _________ the hypothesis and conclusion

a)

switch

b)

negate

c)

switch and negate

34.

This symbol, ∨, means?

a)

and

b)

or

c)

not

d)

implies

Laws and postulates and proofs, oh my!

Total questions: 34

Worksheet time: 48mins

Similar Resources on Wayground