What is a counterexample?

A specific case for which a conjecture is false

A generalism that cannot be applied to a specific case

A specific case that help to prove a conjecture

A general case that is supported by specific examples

Identify the hypothesis of this conditional: If Sally goes to the park, then she will fall off the swing.

Parks don't have swings that Sally goes to.

If Sally falls off the swing, she goes to the park.

Identify the hypothesis and conclusion: If $$3x-7=32$$ , then $$x=13.$$

Hypothesis: $$3x-7=32$$ Conclusion: $$x=13$$

Hypothesis: $$x=13$$ Conclusion: $$3x-7=32$$

Write a definition of congruent angles as a biconditional statement.

Angles are congruent if and only if they have the same size and shape.

Angles are congruent if they have the same size and shape.

If angles are congruent, then they have the same size and shape.

Name the property of equality that the statement illustrates. If m = n, then n = m

Substitution Property of Equality

Name the property of equality that the statement illustrates. A = A

Substitution Property of Equality

Name the property of equality that the statement illustrates. If m∠A + m∠B = 70° and m∠B=40°, then m∠A + 40° = 70°

Substitution Property of Equality

Transitive Property of Equality

Definition of Complementary Angles

What is this? ¿Que es esto?

Conditional statement Enunciado condicional

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS! ESTA ES UNA CLASE DE GEOMETRIA !!! ¡DAME NÚMEROS!

Which of the following is used to prove that a conjecture is false? ¿Cuál de las siguientes opciones se usa para probar que una conjetura es falsa?

Inductive Reasoning Razonamiento inductivo

Concluding statement Declaración final

What are the two columns labeled in a two-column proof? ¿Cuáles son las dos columnas etiquetadas en una prueba de dos columnas?

Statements / Reasons Declaraciones / Razones

Reasons / Proof Razones / Prueba

Statements / Postulates Declaraciones / Postulados

A statement that is always false

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

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

What is the inverse ( $$\sim p\rightarrow\sim q$$ ) of the statement: If you play the guitar, then you are a musician.

If you do not play the guitar, then you are not a musician.

If you are a musician, then you play the guitar.

If you are not a musician, then you do not play the guitar.

If you play the guitar, then you are a musician.

What is the inverse to the following conditional statement? If it rains today, then the ground will be wet.

If it does not rain today, then the ground will not be wet.

If the ground is not wet, then it did not rain today.

If it rains today, then the ground will be wet.

If it rains today, then the ground will not be wet.

Which stands for "if not p then q" ?

∼ p → q \sim p\rightarrow q ∼ p → q

∼ p → ∼ q \sim p\rightarrow\sim q ∼ p → ∼ q

p → ∼ q p\rightarrow\sim q p → ∼ q

What symbolic form of a conditional statement mean 'If p p p then q q q ?

∼ q → ∼ p \sim q\rightarrow\sim p ∼ q → ∼ p

∼ p → ∼ q \sim p\rightarrow\sim q ∼ p → ∼ q

Chapter 2 review

Authored by Priscila Renard

Mathematics

9th - 12th Grade

CCSS covered

Used 9+ times

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50 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write the conditional statement as a biconditional statement: If two lines intersect at a 90 degree angle, then those two lines are perpendicular.

Two lines intersect at a 90 degree angle if and only if they are perpendicular.

If two lines do not intersect at a 90 degree angle, then the two lines are not perpendicular.

If two lines intersect at a 90 degree angle if and only if then they are perpendicular.

If two lines are perpendicular, then they intersect at a 90 degree angle.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of reasoning do we use when we write proofs?

Inductive Reasoning

Deductive Reasoning

The Law of Syllogism

The Law of Detachment

Tags

CCSS.HSG.SRT.B.5

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Reflexive Property

Symmetric Property

Transitive Property

Neither

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Underline the hypothesis and italicize the conclusion in each statement.

If your dog eats Purina, then he’ll stay happy and healthy.

If your dog eats Purina, then he’ll stay happy and healthy.

If your dog eats Purina, then he’ll stay happy and healthy.

If your dog eats Purina, then he’ll stay happy and healthy.

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.8.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

If a polygon is not a quadrilateral, then it is not a trapezoid.

If a polygon is not a trapezoid, then it is not a quadrilateral.

If a polygon is a trapezoid, then it is a quadrilateral.

A rectangle is also a quadrilateral.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

If the polygon is not a quadrilateral, then it is not a trapezoid.

If the polygon is not a trapezoid, then it is not a quadrilateral.

If the polygon is a trapezoid, then it is a quadrilateral.

A rectangle is also a quadrilateral.

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Chapter 2 review

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

Write the conditional statement as a biconditional statement: If two lines intersect at a 90 degree angle, then those two lines are perpendicular.

What type of reasoning do we use when we write proofs?

Underline the hypothesis and italicize the conclusion in each statement.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Chapter 2 review

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

Write the conditional statement as a biconditional statement: If two lines intersect at a 90 degree angle, then those two lines are perpendicular.

What type of reasoning do we use when we write proofs?

Underline the hypothesis and italicize the conclusion in each statement.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."What is the converse of this statement?

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."What is the inverse of this statement?

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."What is the contrapositive of this statement?

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?