GeometryLab--GeometryProofs

Drag and Drop

What is the correct answers for number 1 and number 2​

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Addition Property of Equality

Multiplication Property

Division Property of Equality

Transitive Property

Subtraction Property of Equality

Distributive Property

Reflexive Property

Drag and Drop

Give the reasons for the missing numbers in the proof. ​

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Reflexive Property

Distributive Property

Multiplication Property of Equality

Subtraction Property of Equality

Division Property of Equality

Transitive Property

Symmetric Property

Drag and Drop

What are the reasons for numbers 1-3.​

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Given

Multiplication Property of Equality

Addition Property of Equality

Transitive Property

Distributive Property

Reflexive Property

Symmetric Property

Multiple Choice

Let B be between A and C.

• 7
• 24
• 13
• 14

Multiple Choice

Choose the best option to fill in the blank:

• Addition Property of Equality

• Subtraction Property of Equality

• Substitution Property of Equality

• Complementary Angles are Congruent

Multiple Choice

Fill in the reason for 5. 

• Addition Postulate
• Substitution property
• Definition of midpoint
• Segment Addition Postulate

Multiple Choice

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint
• substitution property

Multiple Choice

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

Multiple Choice

Which of the following is an example of the transitive property?

• If x = 5 and and x = y, then y = 5.

• If x = y then y = x

• x = x

• If 2x + 4 = 2, then x = -1

Multiple Choice

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

Multiple Choice

If O is between FX, then FO + OX = FX.

• Segment Addition Postulate
• Angle Addition Postulate
• Definition of Congruent Segments
• Vertical Angles Theorem

Multiple Choice

If B is the midpoint of segment AC, then AB = BC.

• Definition of Congruent Segments

• Definition of Midpoint

• Vertical Angles Theorem

• Definition of Angle Bisector

Multiple Choice

What is the reason?

• Definition of congrucent
• Definition of midpoint
• Definition of segment
• Segment Addition 

Multiple Choice

What is the reason?

• Transitive 
• Substitution
• Middle Man
• Replacing 

Multiple Choice

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Equality
• Symmetric Property of Equality
• Symmetric Property of Congruence
• Reflexive Property of Congruence

Multiple Choice

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Associative Property
• Commutative Property
• Distributive Property
• Combine Like Terms

Multiple Choice

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Distributive Property
• Transitive Property of Congruence

Multiple Choice

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

Multiple Choice

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Complement Theorem

Multiple Choice

What is the justification?

• Transitive Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Substitution Property of Equality

Multiple Choice

What is the justification?

• Definition of Congruence

• Segment Addition Postulate

• Transitive Property of Congruence

• Definition of Midpoint

Multiple Choice

• Multiplication Property of Equality

• Segment Addition Postulate

• Definition of Midpoint

• Symmetric Property of Congruence

Practice

Justify Each Statement

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Poll

What do you feel about this topic?

Multiple Choice

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint
• substitution property

Multiple Choice

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

Multiple Choice

Which of the following is an example of the transitive property?

• If x = 5 and and x = y, then y = 5.

• If x = y then y = x

• x = x

• If 2x + 4 = 2, then x = -1

Multiple Choice

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

Multiple Choice

If O is between FX, then FO + OX = FX.

• Segment Addition Postulate
• Angle Addition Postulate
• Definition of Congruent Segments
• Vertical Angles Theorem

Multiple Choice

If B is the midpoint of segment AC, then AB = BC.

• Definition of Congruent Segments

• Definition of Midpoint

• Vertical Angles Theorem

• Definition of Angle Bisector

Multiple Choice

What is the reason?

• Definition of congrucent
• Definition of midpoint
• Definition of segment
• Segment Addition 

Multiple Choice

What is the reason?

• Transitive 
• Substitution
• Middle Man
• Replacing 

Multiple Choice

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Equality
• Symmetric Property of Equality
• Symmetric Property of Congruence
• Reflexive Property of Congruence

Multiple Choice

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Associative Property
• Commutative Property
• Distributive Property
• Combine Like Terms

Multiple Choice

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Distributive Property
• Transitive Property of Congruence

Multiple Choice

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

Multiple Choice

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Complement Theorem

Multiple Choice

What is the justification?

• Transitive Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Substitution Property of Equality

Multiple Choice

What is the justification?

• Definition of Congruence

• Segment Addition Postulate

• Transitive Property of Congruence

• Definition of Midpoint

Multiple Choice

• Multiplication Property of Equality

• Segment Addition Postulate

• Definition of Midpoint

• Symmetric Property of Congruence

Multiple Choice

Fill in the statement for number 4. 

• RA=RE +AE
• EL = EA + AL
• RE +EA= EA +AL
• RA = EL

Multiple Choice

Fill in the reason for number 3. 

• Reflexive property
• Symmetric Property
• Transitive property
• Substitution property

Multiple Choice

Fill in the statement for number 3. 

• HA = AY
• HA = AP
• A is the midpoint of HP

Multiple Choice

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint
• substitution property

Multiple Choice

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

Multiple Choice

Which of the following is an example of the transitive property?

• If x = 5 and and x = y, then y = 5.

• If x = y then y = x

• x = x

• If 2x + 4 = 2, then x = -1

Multiple Choice

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

Multiple Choice

If O is between FX, then FO + OX = FX.

• Segment Addition Postulate
• Angle Addition Postulate
• Definition of Congruent Segments
• Vertical Angles Theorem

Multiple Choice

If B is the midpoint of segment AC, then AB = BC.

• Definition of Congruent Segments

• Definition of Midpoint

• Vertical Angles Theorem

• Definition of Angle Bisector

Multiple Choice

What is the reason?

• Definition of congrucent
• Definition of midpoint
• Definition of segment
• Segment Addition 

Multiple Choice

What is the reason?

• Transitive 
• Substitution
• Middle Man
• Replacing 

Multiple Choice

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Equality
• Symmetric Property of Equality
• Symmetric Property of Congruence
• Reflexive Property of Congruence

Multiple Choice

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence
• Symmetric Property of Congruence
• Distributive Property
• Transitive Property of Congruence

Multiple Choice

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

Multiple Choice

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Complement Theorem

Multiple Choice

What is the justification?

• Transitive Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Substitution Property of Equality

Multiple Choice

What is the justification?

• Definition of Congruence

• Segment Addition Postulate

• Transitive Property of Congruence

• Definition of Midpoint

Multiple Choice

• Multiplication Property of Equality

• Segment Addition Postulate

• Definition of Midpoint

• Symmetric Property of Congruence

Multiple Choice

Which property is being used above?

• Addition Property

• Multiplication Property

• Subtraction Property

• Division Property

Multiple Choice

Which Reason best fits the statement?

• Vertical Angle Theorem

• Definition of Linear Pair

• Addition Property

• Transitive Property

Multiple Choice

Which option best fills in the blank in the proof?

• Substitution Property

• Definition of Linear Pair

• Definition of Supplementary Angles

• Angle Addition Postulate

Multiple Choice

Choose the best Reason to fill in the blank in the two-column proof:

• Substitution Property

• Symmetric Property

• Transitive Property

• Reflexive Property

Multiple Choice

Which Reason best fills in the blank?

• Definition of parallel lines

• Definition of a right angle

• Definition of perpendicular lines

• All right angles are congruent

Multiple Choice

Which of the following choices are in the correct order to fill in the proof?

• Given; Segment Addition Postulate; Substitution; Definition of midpoint; Addition; Simplify

• Given; Definition of midpoint; Addition; Simplify; Segment Addition Postulate; Substitution

• Given; Substitution; Addition, Simplify; Definition of midpoint; Segment Addition Postulate

Multiple Choice

Which of the following Reasons are in the correct order?

• Given; Definition of congruence; Transitive Property; Definition of midpoint

• Given; Definition of midpoint; Transitive Property; Definition of congruence

• Given; Transitive Property; Definition of midpoint; Definition of congruence

Multiple Choice

Which best fills in the blank on Statement 3 ?

• RS + RS = RT

• ST + ST = RT

• RS + ST = RT

• RS = ST

Multiple Choice

Which option best fills in Statement 6 ?

• S is the midpoint of

  $$\overline{RT.}$$

• RS = ST

• RS = RS

• RS + ST = RT

Multiple Choice

Which of the following below would fill in the Reasons in the proper order?

• Given; Definition of bisect; Transitive; Given, Definition of bisect

• Given; Transitive; Given; Definition of bisect; Definition of bisect

• Given; Definition of bisect; Given; Definition of bisect; Transitive

Multiple Choice

What is the correct option for Reason 2 ?

• Transitive Property of Equality

• Transitive Property of Congruence

• Symmetric Property of Congruence

• Reflexive Property of Congruence

Multiple Choice

Which option is best to fill in Statement 3 ?

• $$m\angle2\cong m\angle4$$

• $$\angle2=\angle4$$

• $$m\angle2=m\angle4$$

• $$m\angle6=m\angle5$$

Multiple Choice

Which is correct to fill in Reason 4 ?

• Substitution Property of Equality

• Definition of bisect

• Definition of midpoint

• Segment Addition Postulate

Multiple Choice

Which is correct to fill in Statement 5 ?

• LM = NO

• LM = LM

• LM = MN

Multiple Choice

Which is correct to fill in Statement 6 ?

• $$\overline{MN}\ \ \cong\ \overline{NO}$$

• $$\overline{LM}\ \ \cong\ \overline{MN}$$

• $$\overline{LM}\ \ \cong\ \ \overline{LM}$$

• $$\overline{LM\ }\ \ \cong\ \ \overline{NO}$$

Multiple Choice

Where would the Definition of Complementary go in this proof?

• Reason 1

• Reason 2

• Reason 2 and 3

• Reason 2 and 4

Multiple Choice

What Reason is correct to fill in Reason 5 ?

• Congruent Complements Theorem

• Congruent Supplements Theorem

• Definition of Complementary

• Definition of Congruence

Multiple Choice

Which choice shows the Reasons in the proper order?

• Given; Definition of a Right Angle; Angle Addition Postulate; Definition of Complementary; Substitution

• Given; Definition of a Right Angle; Substitution; Angle Addition Postulate; Definition of Complementary

• Given; Definition of a Right Angle; Angle Addition Postulate; Substitution; Definition of Complementary

Multiple Choice

Which fills in Reason 5 ?

• Linear Pair Theorem

• Vertical Angle Theorem

• Definition of Angle Bisector

• Symmetric Property of Congruence

Multiple Select

Which should be Definition of Congruence? Select all.

• Reason 6

• Reason 7

• Reason 8

• Reason 9

• Reason 10

Multiple Choice

Let B be between A and C.

• 2

• -1

• 11

• 15

Multiple Choice

Calculate m∠DEF.

• 180°

• 60°

• 120°

• 80°

Multiple Choice

Solve

• 50°
• 58°
• 115°
• 226°

Multiple Choice

Solve

• x = 6
• x = 7
• x = 12
• x = 144

Multiple Choice

Solve

• x = 5

• x = 11

• x = 33

• x = 55

Multiple Choice

• 8
• 12
• -4
• -8

Poll

Rate your confidence using the angle addition postulate.

0 - not confident at all

3 - I know what I'm doing.

• 0

• 1

• 2

• 3

Multiple Choice

What is another name for ∠H

• ∠KGH
• ∠LGH
• ∠LHG
• ∠K

Multiple Choice

What does the image show? 
(The whole thing, not just the points)

• a ray
• a line
• a line segment
• a point

Multiple Choice

What does the image show?

• a line
• a line segment
• a ray
• a point

Open Ended

Explain the significance of the Distributive Property in algebraic proofs.

Multiple Choice

What does the Symmetric Property of Equality state?

• If a = b, then b = a

• If a = b, then a + b = b + c

• If a = b, then ac = bc

• If a = b, then a - c = b - c

Multiple Choice

What is the Addition Property of Equality?

• If a = b, then a + b = b + c

• If a = b, then a - c = b - c

• If a = b, then ac = bc

• If a = b, then a = a

Multiple Choice

What is reason 2?

• Given
• Addition Property of Equality
• Subtraction Property of Equality
• Substitution Property of Equality

Multiple Choice

What is reason 3?

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Multiple Choice

What is the fifth Reason?

• Symmetric Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Multiple Choice

What is the justification?

• Transitive Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Substitution Property of Equality

Multiple Choice

What does the Congruent Complements Theorem state?

• If two angles are complementary to the same angle, then they are congruent

• If two angles are supplementary to the same angle, then they are congruent

• If two angles are complementary to each other, then they are congruent

• If two angles are supplementary to each other, then they are congruent

Multiple Choice

What reason justifies statement #2?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

Multiple Choice

Choose the correct definition, postulate, or theorem for the following statement

• Definition of Congruent Segments

• Definition of Midpoint

• Definition of Bisector

• Definition of Linear Pair

• Definition of Supplementary

Multiple Choice

Identify the  missing statement or reason

• Given
• Vertical Angles Theorem
• Definition of Angle Bisector
• Alternate Interior Angles Theorem

Multiple Choice

A _________ is a statement that is accepted as true without proof.

• theorem

• postulate

• argument

• proof

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident