SlideShare a Scribd company logo
2.2 Definitions and Biconditional Statements Geometry Mrs. Stelter
Standard/Objectives ,[object Object],[object Object],[object Object],[object Object]
Definitions ,[object Object],[object Object]
Recognizing and using definitions ,[object Object],[object Object],[object Object],[object Object]
Example 1 ,[object Object],[object Object],[object Object],[object Object]
Example 1 ,[object Object],[object Object],[object Object],[object Object]
Using Biconditional Statements ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example 2 ,[object Object],[object Object],[object Object],[object Object]
Biconditional Statements ,[object Object]
Example 3:  Analyzing Biconditional Statements ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example 4:  Writing a Biconditional Statement ,[object Object],[object Object]
Example 4:  Writing a Biconditional Statement ,[object Object],[object Object]
Example 4:  Writing a Biconditional Statement ,[object Object],[object Object],[object Object],[object Object]
Example 4:  Writing a Biconditional Statement ,[object Object],[object Object],[object Object],[object Object]
Example 5:  Writing a Postulate as a Biconditional Statement ,[object Object],[object Object],[object Object],[object Object],[object Object]
Assignment: ,[object Object]

More Related Content

What's hot

Dividing Rational Expressions
Dividing Rational ExpressionsDividing Rational Expressions
Dividing Rational Expressions
Lorie Jane Letada
 
Conditional Statements | If-then Statements
Conditional Statements | If-then StatementsConditional Statements | If-then Statements
Conditional Statements | If-then Statements
sheisirenebkm
 
Rectangular Coordinate System Lesson Plan
Rectangular Coordinate System Lesson PlanRectangular Coordinate System Lesson Plan
Rectangular Coordinate System Lesson Plan
Realyn Magbanua
 
If and then statements
If and then statementsIf and then statements
If and then statements
ValDarylAnhao2
 
GEOMETRY: POINTS, LINES. PLANES
GEOMETRY: POINTS, LINES. PLANESGEOMETRY: POINTS, LINES. PLANES
GEOMETRY: POINTS, LINES. PLANES
M, Michelle Jeannite
 
Quarter 2 Week 1 Math 8 Danao.pptx
Quarter 2 Week 1 Math 8 Danao.pptxQuarter 2 Week 1 Math 8 Danao.pptx
Quarter 2 Week 1 Math 8 Danao.pptx
Evangeline Danao
 
Grade 8-if-then-statement
Grade 8-if-then-statementGrade 8-if-then-statement
Grade 8-if-then-statement
AnnalizaTenioso
 
Variation
VariationVariation
Quadratic Inequalities
Quadratic InequalitiesQuadratic Inequalities
Quadratic Inequalities
quartz4
 
Slope of a line
Slope of a lineSlope of a line
Slope of a line
Rhea Rose Almoguez
 
Estimating Square Roots (Number Line Method)
Estimating Square Roots (Number Line Method)Estimating Square Roots (Number Line Method)
Estimating Square Roots (Number Line Method)Nicole Gough
 
Math 7 geometry 03 angles and angle measurements
Math 7 geometry 03   angles and angle measurementsMath 7 geometry 03   angles and angle measurements
Math 7 geometry 03 angles and angle measurements
Gilbert Joseph Abueg
 
MATH Lesson 1-3 Module 8 (Quarter 1).pptx
MATH Lesson 1-3 Module 8 (Quarter 1).pptxMATH Lesson 1-3 Module 8 (Quarter 1).pptx
MATH Lesson 1-3 Module 8 (Quarter 1).pptx
analiemagno
 
Grade 7 Mathematics Week 4 2nd Quarter
Grade 7 Mathematics Week 4 2nd QuarterGrade 7 Mathematics Week 4 2nd Quarter
Grade 7 Mathematics Week 4 2nd Quarter
jennytuazon01630
 
Linear inequalities in two variables
Linear inequalities in two variablesLinear inequalities in two variables
Linear inequalities in two variables
christianjustine
 
1.3.1 Conditional Statements
1.3.1 Conditional Statements1.3.1 Conditional Statements
1.3.1 Conditional Statements
smiller5
 
5 3 Direct Variation
5 3 Direct Variation5 3 Direct Variation
5 3 Direct VariationBitsy Griffin
 
Mathematics 9 Lesson 6: Rational Exponents
Mathematics 9 Lesson 6: Rational ExponentsMathematics 9 Lesson 6: Rational Exponents
Mathematics 9 Lesson 6: Rational Exponents
Juan Miguel Palero
 
Factoring Perfect Square Trinomials Worksheet
Factoring Perfect Square Trinomials WorksheetFactoring Perfect Square Trinomials Worksheet
Factoring Perfect Square Trinomials Worksheet
Carlo Luna
 
System of Linear inequalities in two variables
System of Linear inequalities in two variablesSystem of Linear inequalities in two variables
System of Linear inequalities in two variables
Anirach Ytirahc
 

What's hot (20)

Dividing Rational Expressions
Dividing Rational ExpressionsDividing Rational Expressions
Dividing Rational Expressions
 
Conditional Statements | If-then Statements
Conditional Statements | If-then StatementsConditional Statements | If-then Statements
Conditional Statements | If-then Statements
 
Rectangular Coordinate System Lesson Plan
Rectangular Coordinate System Lesson PlanRectangular Coordinate System Lesson Plan
Rectangular Coordinate System Lesson Plan
 
If and then statements
If and then statementsIf and then statements
If and then statements
 
GEOMETRY: POINTS, LINES. PLANES
GEOMETRY: POINTS, LINES. PLANESGEOMETRY: POINTS, LINES. PLANES
GEOMETRY: POINTS, LINES. PLANES
 
Quarter 2 Week 1 Math 8 Danao.pptx
Quarter 2 Week 1 Math 8 Danao.pptxQuarter 2 Week 1 Math 8 Danao.pptx
Quarter 2 Week 1 Math 8 Danao.pptx
 
Grade 8-if-then-statement
Grade 8-if-then-statementGrade 8-if-then-statement
Grade 8-if-then-statement
 
Variation
VariationVariation
Variation
 
Quadratic Inequalities
Quadratic InequalitiesQuadratic Inequalities
Quadratic Inequalities
 
Slope of a line
Slope of a lineSlope of a line
Slope of a line
 
Estimating Square Roots (Number Line Method)
Estimating Square Roots (Number Line Method)Estimating Square Roots (Number Line Method)
Estimating Square Roots (Number Line Method)
 
Math 7 geometry 03 angles and angle measurements
Math 7 geometry 03   angles and angle measurementsMath 7 geometry 03   angles and angle measurements
Math 7 geometry 03 angles and angle measurements
 
MATH Lesson 1-3 Module 8 (Quarter 1).pptx
MATH Lesson 1-3 Module 8 (Quarter 1).pptxMATH Lesson 1-3 Module 8 (Quarter 1).pptx
MATH Lesson 1-3 Module 8 (Quarter 1).pptx
 
Grade 7 Mathematics Week 4 2nd Quarter
Grade 7 Mathematics Week 4 2nd QuarterGrade 7 Mathematics Week 4 2nd Quarter
Grade 7 Mathematics Week 4 2nd Quarter
 
Linear inequalities in two variables
Linear inequalities in two variablesLinear inequalities in two variables
Linear inequalities in two variables
 
1.3.1 Conditional Statements
1.3.1 Conditional Statements1.3.1 Conditional Statements
1.3.1 Conditional Statements
 
5 3 Direct Variation
5 3 Direct Variation5 3 Direct Variation
5 3 Direct Variation
 
Mathematics 9 Lesson 6: Rational Exponents
Mathematics 9 Lesson 6: Rational ExponentsMathematics 9 Lesson 6: Rational Exponents
Mathematics 9 Lesson 6: Rational Exponents
 
Factoring Perfect Square Trinomials Worksheet
Factoring Perfect Square Trinomials WorksheetFactoring Perfect Square Trinomials Worksheet
Factoring Perfect Square Trinomials Worksheet
 
System of Linear inequalities in two variables
System of Linear inequalities in two variablesSystem of Linear inequalities in two variables
System of Linear inequalities in two variables
 

Viewers also liked

8 3similar Triangles
8 3similar Triangles8 3similar Triangles
8 3similar Trianglestaco40
 
Geometry conditional statements and their converse
Geometry   conditional statements and their converseGeometry   conditional statements and their converse
Geometry conditional statements and their conversemathriot
 
Elizabeth& Valarie - Linear Function
Elizabeth& Valarie - Linear FunctionElizabeth& Valarie - Linear Function
Elizabeth& Valarie - Linear Function
Hope Scott
 
3.8.4 Triangle Similarity
3.8.4 Triangle Similarity3.8.4 Triangle Similarity
3.8.4 Triangle Similarity
smiller5
 
Exam view geotrig final s1 2011
Exam view   geotrig final s1 2011Exam view   geotrig final s1 2011
Exam view geotrig final s1 2011teresahall
 
Quadrilaterals project
Quadrilaterals projectQuadrilaterals project
Quadrilaterals projectBrady Rose
 
Using triangle congruence.
Using triangle congruence.Using triangle congruence.
Using triangle congruence.Jabe Macalinao
 
Lsn 11-8: Proving a Rhombus/Rectangle
Lsn 11-8: Proving a Rhombus/RectangleLsn 11-8: Proving a Rhombus/Rectangle
Lsn 11-8: Proving a Rhombus/RectangleKate Nowak
 
Reasoning In Geometry
Reasoning In GeometryReasoning In Geometry
Reasoning In Geometryguestf6d1c8
 
Geom 6point3 97
Geom 6point3 97Geom 6point3 97
Geom 6point3 97herbison
 
6 3 Proving Parallelograms
6 3 Proving Parallelograms6 3 Proving Parallelograms
6 3 Proving Parallelograms
lmrogers03
 
Deductivereasoning and bicond and algebraic proofs
Deductivereasoning and bicond and algebraic proofsDeductivereasoning and bicond and algebraic proofs
Deductivereasoning and bicond and algebraic proofsjbianco9910
 
1st Test - If then, converse, inverse and contrapositive
1st Test - If then, converse, inverse and contrapositive1st Test - If then, converse, inverse and contrapositive
1st Test - If then, converse, inverse and contrapositiveBrandeis High School
 
Quadrilaterals
QuadrilateralsQuadrilaterals
Quadrilateralsisabelri
 
Mathsproject quadrilaterals
Mathsproject quadrilateralsMathsproject quadrilaterals
Mathsproject quadrilaterals
shaunakk
 
Congruent triangles theorem
Congruent triangles theoremCongruent triangles theorem
Congruent triangles theoremMadhavi Mahajan
 
Similar triangles
Similar trianglesSimilar triangles
Similar triangles
rey castro
 
Grade 9 Mathematics Module 5 Quadrilaterals (LM)
Grade 9 Mathematics Module 5 Quadrilaterals (LM)Grade 9 Mathematics Module 5 Quadrilaterals (LM)
Grade 9 Mathematics Module 5 Quadrilaterals (LM)
Paolo Dagaojes
 

Viewers also liked (19)

8 3similar Triangles
8 3similar Triangles8 3similar Triangles
8 3similar Triangles
 
Geometry conditional statements and their converse
Geometry   conditional statements and their converseGeometry   conditional statements and their converse
Geometry conditional statements and their converse
 
Elizabeth& Valarie - Linear Function
Elizabeth& Valarie - Linear FunctionElizabeth& Valarie - Linear Function
Elizabeth& Valarie - Linear Function
 
3.8.4 Triangle Similarity
3.8.4 Triangle Similarity3.8.4 Triangle Similarity
3.8.4 Triangle Similarity
 
Exam view geotrig final s1 2011
Exam view   geotrig final s1 2011Exam view   geotrig final s1 2011
Exam view geotrig final s1 2011
 
Quadrilaterals project
Quadrilaterals projectQuadrilaterals project
Quadrilaterals project
 
Using triangle congruence.
Using triangle congruence.Using triangle congruence.
Using triangle congruence.
 
Lsn 11-8: Proving a Rhombus/Rectangle
Lsn 11-8: Proving a Rhombus/RectangleLsn 11-8: Proving a Rhombus/Rectangle
Lsn 11-8: Proving a Rhombus/Rectangle
 
Reasoning In Geometry
Reasoning In GeometryReasoning In Geometry
Reasoning In Geometry
 
Geom 6point3 97
Geom 6point3 97Geom 6point3 97
Geom 6point3 97
 
6 3 Proving Parallelograms
6 3 Proving Parallelograms6 3 Proving Parallelograms
6 3 Proving Parallelograms
 
Deductivereasoning and bicond and algebraic proofs
Deductivereasoning and bicond and algebraic proofsDeductivereasoning and bicond and algebraic proofs
Deductivereasoning and bicond and algebraic proofs
 
1st Test - If then, converse, inverse and contrapositive
1st Test - If then, converse, inverse and contrapositive1st Test - If then, converse, inverse and contrapositive
1st Test - If then, converse, inverse and contrapositive
 
Quadrilaterals
QuadrilateralsQuadrilaterals
Quadrilaterals
 
Mathsproject quadrilaterals
Mathsproject quadrilateralsMathsproject quadrilaterals
Mathsproject quadrilaterals
 
Conditionals
ConditionalsConditionals
Conditionals
 
Congruent triangles theorem
Congruent triangles theoremCongruent triangles theorem
Congruent triangles theorem
 
Similar triangles
Similar trianglesSimilar triangles
Similar triangles
 
Grade 9 Mathematics Module 5 Quadrilaterals (LM)
Grade 9 Mathematics Module 5 Quadrilaterals (LM)Grade 9 Mathematics Module 5 Quadrilaterals (LM)
Grade 9 Mathematics Module 5 Quadrilaterals (LM)
 

Similar to 2.2 definitions and biconditionals

Geom 2point2
Geom 2point2Geom 2point2
Geom 2point2herbison
 
Geometry 201 unit 2.3
Geometry 201 unit 2.3Geometry 201 unit 2.3
Geometry 201 unit 2.3
Mark Ryder
 
Conditional statements dkjfoafoiej
Conditional statements dkjfoafoiejConditional statements dkjfoafoiej
Conditional statements dkjfoafoiejmzzbarnes
 
BICONDITIONAL STATEMENTS.pptx
BICONDITIONAL STATEMENTS.pptxBICONDITIONAL STATEMENTS.pptx
BICONDITIONAL STATEMENTS.pptx
Camiling Catholic School
 
This slide about If then Statements pptx
This slide about If then Statements pptxThis slide about If then Statements pptx
This slide about If then Statements pptx
MaicaDavidSanAndres
 
Geometry Section 2-4
Geometry Section 2-4Geometry Section 2-4
Geometry Section 2-4
Jimbo Lamb
 
2.2 analyze conditional statements
2.2 analyze conditional statements2.2 analyze conditional statements
2.2 analyze conditional statementsdetwilerr
 
Dec.11 Logical Statements
Dec.11 Logical StatementsDec.11 Logical Statements
Dec.11 Logical StatementsRyanWatt
 
Geom 2point1
Geom 2point1Geom 2point1
Geom 2point1herbison
 
Geometry Section 2-2
Geometry Section 2-2Geometry Section 2-2
Geometry Section 2-2
Jimbo Lamb
 
Geo 2.1 notes
Geo 2.1 notesGeo 2.1 notes
Geo 2.1 notes
Jonathan Fjelstrom
 
1.1_var.pptx
1.1_var.pptx1.1_var.pptx
1.1_var.pptx
JohnLopeBarce3
 
CONDITIONAL STATEMENTS AND ITS LOGICAL EQUIVALENCE.pptx
CONDITIONAL STATEMENTS AND ITS LOGICAL EQUIVALENCE.pptxCONDITIONAL STATEMENTS AND ITS LOGICAL EQUIVALENCE.pptx
CONDITIONAL STATEMENTS AND ITS LOGICAL EQUIVALENCE.pptx
JasminAndAngie
 
Geometry 201 unit 2.2
Geometry 201 unit 2.2Geometry 201 unit 2.2
Geometry 201 unit 2.2
Mark Ryder
 
CONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptx
CONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptxCONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptx
CONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptx
RoselynBaracuso1
 
proposition Logic-1.pptx Discrete Mathematics
proposition Logic-1.pptx Discrete Mathematicsproposition Logic-1.pptx Discrete Mathematics
proposition Logic-1.pptx Discrete Mathematics
VimalKumar375828
 
Geo 2.1 condtional statements
Geo 2.1 condtional statementsGeo 2.1 condtional statements
Geo 2.1 condtional statements
ejfischer
 

Similar to 2.2 definitions and biconditionals (20)

Geom 2point2
Geom 2point2Geom 2point2
Geom 2point2
 
Geometry 201 unit 2.3
Geometry 201 unit 2.3Geometry 201 unit 2.3
Geometry 201 unit 2.3
 
Conditional statements dkjfoafoiej
Conditional statements dkjfoafoiejConditional statements dkjfoafoiej
Conditional statements dkjfoafoiej
 
BICONDITIONAL STATEMENTS.pptx
BICONDITIONAL STATEMENTS.pptxBICONDITIONAL STATEMENTS.pptx
BICONDITIONAL STATEMENTS.pptx
 
This slide about If then Statements pptx
This slide about If then Statements pptxThis slide about If then Statements pptx
This slide about If then Statements pptx
 
Geometry Section 2-4
Geometry Section 2-4Geometry Section 2-4
Geometry Section 2-4
 
2.2 analyze conditional statements
2.2 analyze conditional statements2.2 analyze conditional statements
2.2 analyze conditional statements
 
Dec.11 Logical Statements
Dec.11 Logical StatementsDec.11 Logical Statements
Dec.11 Logical Statements
 
Geom 2point1
Geom 2point1Geom 2point1
Geom 2point1
 
Geometry Section 2-2
Geometry Section 2-2Geometry Section 2-2
Geometry Section 2-2
 
Geo 2.1 notes
Geo 2.1 notesGeo 2.1 notes
Geo 2.1 notes
 
1.1_var.pptx
1.1_var.pptx1.1_var.pptx
1.1_var.pptx
 
CONDITIONAL STATEMENTS AND ITS LOGICAL EQUIVALENCE.pptx
CONDITIONAL STATEMENTS AND ITS LOGICAL EQUIVALENCE.pptxCONDITIONAL STATEMENTS AND ITS LOGICAL EQUIVALENCE.pptx
CONDITIONAL STATEMENTS AND ITS LOGICAL EQUIVALENCE.pptx
 
Geometry 201 unit 2.2
Geometry 201 unit 2.2Geometry 201 unit 2.2
Geometry 201 unit 2.2
 
2.1 terms
2.1 terms2.1 terms
2.1 terms
 
2.1 conditional statements
2.1 conditional statements2.1 conditional statements
2.1 conditional statements
 
CONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptx
CONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptxCONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptx
CONDITIONAL-STATEMENTS_-CONVERSE-INVERSE-CONTRAPOSITIVE-new.pptx
 
Lesson 49
Lesson 49Lesson 49
Lesson 49
 
proposition Logic-1.pptx Discrete Mathematics
proposition Logic-1.pptx Discrete Mathematicsproposition Logic-1.pptx Discrete Mathematics
proposition Logic-1.pptx Discrete Mathematics
 
Geo 2.1 condtional statements
Geo 2.1 condtional statementsGeo 2.1 condtional statements
Geo 2.1 condtional statements
 

More from Huron School District

1 4 segments, rays, parallel lines and planes
1 4 segments, rays, parallel lines and planes1 4 segments, rays, parallel lines and planes
1 4 segments, rays, parallel lines and planesHuron School District
 
1 4 segments, rays, parallel lines and planes
1 4 segments, rays, parallel lines and planes1 4 segments, rays, parallel lines and planes
1 4 segments, rays, parallel lines and planesHuron School District
 
Pointslinesplanesrays, segments and parallel, perpendicular and skew
Pointslinesplanesrays, segments and parallel, perpendicular and skewPointslinesplanesrays, segments and parallel, perpendicular and skew
Pointslinesplanesrays, segments and parallel, perpendicular and skewHuron School District
 
1.2 simplifying expressions and order of operations
1.2 simplifying expressions and order of operations1.2 simplifying expressions and order of operations
1.2 simplifying expressions and order of operationsHuron School District
 
Chapter 1.1 patterns and inductive reasoning
Chapter 1.1 patterns and inductive reasoningChapter 1.1 patterns and inductive reasoning
Chapter 1.1 patterns and inductive reasoningHuron School District
 
Chapter 1.1 properties of-real-numbers
Chapter 1.1 properties of-real-numbersChapter 1.1 properties of-real-numbers
Chapter 1.1 properties of-real-numbersHuron School District
 
Algebra 2 ca intro presentation
Algebra 2 ca intro presentationAlgebra 2 ca intro presentation
Algebra 2 ca intro presentation
Huron School District
 
Geometry intro presentation
Geometry intro presentationGeometry intro presentation
Geometry intro presentation
Huron School District
 

More from Huron School District (20)

Slope intercept
Slope interceptSlope intercept
Slope intercept
 
2.3 deductive reasoning
2.3 deductive reasoning2.3 deductive reasoning
2.3 deductive reasoning
 
1.7 angles and perpendicular lines
1.7 angles and perpendicular lines1.7 angles and perpendicular lines
1.7 angles and perpendicular lines
 
Solving equations
Solving equationsSolving equations
Solving equations
 
Solving multi step equations
Solving multi step equationsSolving multi step equations
Solving multi step equations
 
1.5 measuring segments
1.5 measuring segments1.5 measuring segments
1.5 measuring segments
 
1 4 segments, rays, parallel lines and planes
1 4 segments, rays, parallel lines and planes1 4 segments, rays, parallel lines and planes
1 4 segments, rays, parallel lines and planes
 
1 4 segments, rays, parallel lines and planes
1 4 segments, rays, parallel lines and planes1 4 segments, rays, parallel lines and planes
1 4 segments, rays, parallel lines and planes
 
Converting units
Converting unitsConverting units
Converting units
 
Just equations
Just equationsJust equations
Just equations
 
Review of points, lines and planes
Review of points, lines and planesReview of points, lines and planes
Review of points, lines and planes
 
Pointslinesplanesrays, segments and parallel, perpendicular and skew
Pointslinesplanesrays, segments and parallel, perpendicular and skewPointslinesplanesrays, segments and parallel, perpendicular and skew
Pointslinesplanesrays, segments and parallel, perpendicular and skew
 
1.2 simplifying expressions and order of operations
1.2 simplifying expressions and order of operations1.2 simplifying expressions and order of operations
1.2 simplifying expressions and order of operations
 
Chapter 1.1 patterns and inductive reasoning
Chapter 1.1 patterns and inductive reasoningChapter 1.1 patterns and inductive reasoning
Chapter 1.1 patterns and inductive reasoning
 
1 3 points, lines, planes
1 3 points, lines, planes1 3 points, lines, planes
1 3 points, lines, planes
 
Geo chapter01power point
Geo chapter01power pointGeo chapter01power point
Geo chapter01power point
 
Chapter 1.1 properties of-real-numbers
Chapter 1.1 properties of-real-numbersChapter 1.1 properties of-real-numbers
Chapter 1.1 properties of-real-numbers
 
Geometry ca intro presentation
Geometry ca intro presentationGeometry ca intro presentation
Geometry ca intro presentation
 
Algebra 2 ca intro presentation
Algebra 2 ca intro presentationAlgebra 2 ca intro presentation
Algebra 2 ca intro presentation
 
Geometry intro presentation
Geometry intro presentationGeometry intro presentation
Geometry intro presentation
 

2.2 definitions and biconditionals

  • 1. 2.2 Definitions and Biconditional Statements Geometry Mrs. Stelter
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.