Units 1 and 2 Review: Intro to Geometry, Reasoning, Proofs

What is reasoning?

• The process of using emotions and intuition to reach conclusions or make decisions.

• The process of using logical thinking and evidence to reach conclusions or make decisions.

• The process of using random guesses to reach conclusions or make decisions.

• The process of using physical strength to reach conclusions or make decisions.

What is deductive reasoning?

• Process of making educated guesses

• Method of analyzing data

• Technique of drawing conclusions from observations

• Logical process of deriving conclusions from premises.

What is the converse of a conditional statement?

• Negating both the hypothesis and conclusion of the original statement.

• Keeping the hypothesis and conclusion of the original statement the same.

• Reversing the order of the hypothesis and conclusion of the original statement.

• Switching the hypothesis and conclusion of the original statement.

What is the inverse of a conditional statement?

• The inverse of a conditional statement is formed by negating both the hypothesis and the conclusion.

• The inverse of a conditional statement is formed by negating the hypothesis but not the conclusion.

• The inverse of a conditional statement is formed by negating the conclusion but not the hypothesis.

• The inverse of a conditional statement is formed by negating neither the hypothesis nor the conclusion.

What is the contrapositive of a conditional statement?

• The contrapositive of a conditional statement is formed by switching the hypothesis and conclusion of the original statement without negating them.

• The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion of the original statement and then switching their positions.

• The contrapositive of a conditional statement is formed by negating the hypothesis and keeping the conclusion of the original statement.

• The contrapositive of a conditional statement is formed by negating the conclusion and keeping the hypothesis of the original statement.

What are vertical angles?

• Congruent angles formed opposite each other by the intersection of two lines.

• Angles formed by the intersection of two perpendicular lines.

• Angles formed by the intersection of two parallel lines.

• Angles formed by the intersection of two intersecting lines at a right angle.

Tags

CCSS.7.G.B.5

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

Tags

CCSS.HSG.SRT.B.5

What is the Reflexive property?

• If a=b, then  a can be substituted for b in any equation or expression
• a(b+c)=ab+ac
• For any real number a, a=a .
•  If a=b, then b=a

Tags

CCSS.7.EE.A.1

.

• Substitution Property of Equality

• Symmetric Property of Equality

• Transitive Property of Equality

• Distributive Property of Equality

Tags

CCSS.HSA.REI.A.1

Which is a counterexample to the following statement?

If you add two numbers, then the sum is odd.

• 2+5=7

• 3+2=5

• 1+8=9

• 2+4=6

Tags

CCSS.4.OA.C.5