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Sections 3.2 and 3.3 Parallel Lines & Transversals Geometry Mr. Robinson Fall 2011
Essential Question: What results can be determined when parallel lines are cut by a transversal?
Postulate 15 Corresponding s Post. If 2 lines are cut by a transversal, then the pairs of corresponding s are . i.e. If l m, then 1 2. l m 1 2
Section 3.2 Theorems Theorem 3.1 – If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
Section 3.2 Theorems Theorem 3.2 – If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.
Section 3.2 Theorems Theorem 3.3 – If two lines are perpendicular, then they intersect to form four right angles.
Theorem 3.4 Alternate Interior s Theorem If 2 lines are cut by a transversal, then the pairs of alternate interior s are . i.e. If l m, then 1 2. lmlm 1 2
Theorem 3.5 Consecutive Interior s Theorem If 2 lines are cut by a transversal, then the pairs of consecutive int. s are supplementary. i.e. If l m, then 1 & 2 are supp. lmlm 1 2
Theorem 3.6 Alternate Exterior s Theorem If 2 lines are cut by a transversal, then the pairs of alternate exterior s are . i.e. If l m, then 1 2. l m 1 2
If a transversal is to one of 2 lines, then it is to the other. i.e. If l m, & t l, then t m. ** 1 & 2 added for proof purposes. 1 2 Theorem 3.7 Transversal Theorem lmlm t
Ex: Find: m 1= m 2= m 3= m 4= m 5= m 6= x= 125 o 2 1 3 4 6 5 x+15 o
Ex: Find: m 1=55 ° m 2=125 ° m 3=55 ° m 4=125 ° m 5=55 ° m 6=125 ° x=40 ° 125 o 2 1 3 4 6 5 x+15 o
Assignment Pp. 138 – 139 #3-16 pp. 146 -147 #1-26
Chapter 3.2 Notes: Use Parallel Lines and Transversals
3.3 Parallel Lines & Transversals
Angles and Parallel Lines
Chapter 12 and Chapter 3 Geometry Terms.
Definitions Parallel Lines Two lines are parallel lines if they lie in the same plane and do not intersect.
PARALLEL LINES AND TRANSVERSALS. CORRESPONDING ANGLES POSTULATE Two lines cut by a transversal are parallel if and only if the pairs of corresponding.
Geometry vocabulary Mr. Dorn. Corresponding Angles Postulate If two parallel lines are cut by a transversal, then each pair of corresponding angles is.
Geometry Section 3.6 Prove Theorems About Perpendicular Lines.
HW #17 pg. 194 #5-7, 15-17, 21, 26, 29. Theorem 3.8 If two lines intersect to form two congruent angles that are a linear pair, then the lines must.
CHAPTER 4 Parallels. Parallel Lines and Planes Section 4-1.
1Geometry Lesson: Aim: How do we prove lines are parallel? Do Now: 1) Name 4 pairs of corresponding angles. 2) Name 2 pairs of alternate interior angles.
Parallel Lines & Transversals & Angles
Use Parallel Lines and Transversals
PARALLEL LINES and TRANSVERSALS.
Parallel Lines and Transversals
GEOMETRY PRE-UNIT 4 VOCABULARY REVIEW ALL ABOUT ANGLES.
GEOMETRY 3.4 Perpendicular Lines. LEARNING TARGETS Students should be able to… Prove and apply theorems about perpendicular lines.
Coplanar lines that do not intersect.. Lines that do not intersect and are not coplanar.
Lesson 3-4 Proving lines parallel,. Postulates and Theorems Postulate 3-4 – If two lines in a plane are cut by a transversal so that corresponding angles.
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