SlideShare a Scribd company logo
Section 2.2
Also includes perpendicular and parallel lines
Perpendicular and Parallel
 Perpendicular lines intersect to form a right angle

 A line that is perpendicular to a plane is perpendicular
  to every line in that plane that it intersects

 Definitions, such as these, are meant to be interpreted
  in both directions.

 For example, the first definition could be written
  “Two lines that form right angles are perpendicular”
Biconditional Statements
 Like definitions, biconditional statements can be
  interpreted in both directions
 They are written in the form:

  <1st statement> if and only if <2nd statement>

 “If and only if” is often abbreviated “iff”

 One can make a biconditional statement if the
  conditional statement and its converse are both true
  (or both false, but why would you do that)
Reference
 McDougal Littel: Geometry, Section 2.2

More Related Content

Viewers also liked

Geo - 2.3&4
Geo - 2.3&4Geo - 2.3&4
Geo - 2.3&4
ejfischer
 
FoG - 2.1 and 2.2
FoG - 2.1 and 2.2FoG - 2.1 and 2.2
FoG - 2.1 and 2.2
ejfischer
 
Geo 3.6&7 slope
Geo 3.6&7 slopeGeo 3.6&7 slope
Geo 3.6&7 slope
ejfischer
 
Fo g 4.1 intro to parallel lines
Fo g 4.1 intro to parallel linesFo g 4.1 intro to parallel lines
Fo g 4.1 intro to parallel linesejfischer
 
FoG Unit 1 Review
FoG Unit 1 ReviewFoG Unit 1 Review
FoG Unit 1 Reviewejfischer
 
FoG 3.3 angle addition postulate
FoG 3.3 angle addition postulateFoG 3.3 angle addition postulate
FoG 3.3 angle addition postulate
ejfischer
 
Geo 3.4 proving lines parallel
Geo 3.4 proving lines parallelGeo 3.4 proving lines parallel
Geo 3.4 proving lines parallel
ejfischer
 
FoG 2.3 Congruent Segments
FoG 2.3 Congruent SegmentsFoG 2.3 Congruent Segments
FoG 2.3 Congruent Segments
ejfischer
 
Geo section 3.2&3
Geo   section 3.2&3Geo   section 3.2&3
Geo section 3.2&3ejfischer
 
4.6 Special Triangles
4.6 Special Triangles4.6 Special Triangles
4.6 Special Triangles
ejfischer
 
Geo 2.5&6
Geo 2.5&6Geo 2.5&6
Geo 2.5&6
ejfischer
 
4.3-5 Triangle Congruence
4.3-5 Triangle Congruence4.3-5 Triangle Congruence
4.3-5 Triangle Congruence
ejfischer
 

Viewers also liked (12)

Geo - 2.3&4
Geo - 2.3&4Geo - 2.3&4
Geo - 2.3&4
 
FoG - 2.1 and 2.2
FoG - 2.1 and 2.2FoG - 2.1 and 2.2
FoG - 2.1 and 2.2
 
Geo 3.6&7 slope
Geo 3.6&7 slopeGeo 3.6&7 slope
Geo 3.6&7 slope
 
Fo g 4.1 intro to parallel lines
Fo g 4.1 intro to parallel linesFo g 4.1 intro to parallel lines
Fo g 4.1 intro to parallel lines
 
FoG Unit 1 Review
FoG Unit 1 ReviewFoG Unit 1 Review
FoG Unit 1 Review
 
FoG 3.3 angle addition postulate
FoG 3.3 angle addition postulateFoG 3.3 angle addition postulate
FoG 3.3 angle addition postulate
 
Geo 3.4 proving lines parallel
Geo 3.4 proving lines parallelGeo 3.4 proving lines parallel
Geo 3.4 proving lines parallel
 
FoG 2.3 Congruent Segments
FoG 2.3 Congruent SegmentsFoG 2.3 Congruent Segments
FoG 2.3 Congruent Segments
 
Geo section 3.2&3
Geo   section 3.2&3Geo   section 3.2&3
Geo section 3.2&3
 
4.6 Special Triangles
4.6 Special Triangles4.6 Special Triangles
4.6 Special Triangles
 
Geo 2.5&6
Geo 2.5&6Geo 2.5&6
Geo 2.5&6
 
4.3-5 Triangle Congruence
4.3-5 Triangle Congruence4.3-5 Triangle Congruence
4.3-5 Triangle Congruence
 

Geo 2.2

  • 1. Section 2.2 Also includes perpendicular and parallel lines
  • 2. Perpendicular and Parallel  Perpendicular lines intersect to form a right angle  A line that is perpendicular to a plane is perpendicular to every line in that plane that it intersects  Definitions, such as these, are meant to be interpreted in both directions.  For example, the first definition could be written “Two lines that form right angles are perpendicular”
  • 3. Biconditional Statements  Like definitions, biconditional statements can be interpreted in both directions  They are written in the form: <1st statement> if and only if <2nd statement>  “If and only if” is often abbreviated “iff”  One can make a biconditional statement if the conditional statement and its converse are both true (or both false, but why would you do that)
  • 4. Reference  McDougal Littel: Geometry, Section 2.2