Geometry Chapter 2 Review

1. If-Then statements

2. Properties/Theorems

3. Algebraic Proofs

4. Geometric Proofs

​

​Some text here about the topic of discussion.

Chapter 2: Logic and Proofs

​Conditional Statments

Hypothesis: It is raining

Conclusion: I will bring my umbrella

p→q: If it is raining, then I will bring my umbrella

q→p: If I bring my umbrella, then it is raining

Multiple Choice

Which of the following is true about the conditional statement below?

If you are flying, then you are in a

jet.

• Hypothesis: you are flying

  Conclusion: you are in a

  jet

• Hypothesis: IF you are flying

  Conclusion: THEN you are in a

  jet

• Hypothesis: THEN you are in a

  jet

  Conclusion: IF you are flying

• Hypothesis: you are in a

  jet

  Conclusion: you are flying

Multiple Choice

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

• If an object can fly, then it is a bird.

• If an object is not a bird, then it cannot fly

• If an object cannot fly, then it is not a bird

• There is no converse of the statement

Multiple Choice

Which of the following is the BICONDITIONAL of the statement below?

If it is water, then it is wet.

• If it is not wet, then it is not water.

• If it is wet, then it is water.

• It is water if and only if (iff) it is wet.

• There is no biconditional statement.

​

Multiple Choice

What is always the 1st statement in reason column of a proof?

• Prove

• Given

• Reason

• Statement

Multiple Choice

Identify the property used here:
39=39

• Reflexive

• Symmetric

• Transitive

• Substitution

Multiple Choice

What is reason 2?

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Multiple Choice

What is reason 1?

• Subtraction Property of Equality

• Transitive Property of Equality

• Given

• Prove

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 justification?

• Definition of Supplementary Angles

• Vertical Angles Theorem

• Definition of an Angle Bisector

• Angle Addition Postulate

Multiple Choice

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Complement Theorem

Multiple Choice

What is the justification?

• Definition of an Angle Bisector

• Complementary Angles Theorem

• Definition of a Right Angle

• Angle Addition Postulate

Multiple Choice

What is the missing statement in the proof?

• 2m∠ABD=m∠ABD+m∠ABD

• m∠ABD=m∠DBC

• m∠ABC=m∠ABC

• m∠ABD+m∠ABD=m∠ABD+m∠DBC

Multiple Choice

What is the reason?

• Definition of Complementary

• Definition of 180 

• Definition of supplementary

• Angle Addition