Download presentation

Presentation is loading. Please wait.

1
**3.3 Parallel Lines & Transversals**

Geometry

2
**Standard/Objectives:**

Standard 3: Students will learn and apply geometric concepts. Objectives: Prove and use results about parallel lines and transversals. Use properties of parallel lines.

3
**Post. 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 12. 1 2 l m

4
Thm 3.4 – Alt. Int. s Thm. If 2 lines are cut by a transversal, then the pairs of alternate interior s are . i.e. If l m, then 12. 1 2 l m

5
**Proof of Alt. Int. s Thm. Statements l m 3 2 1 3 1 2**

Reasons Given Corresponding s post. Vert. s Thm is transitive 3 1 2 l m

6
**Thm 3.5 – Consecutive Int. s thm**

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. l m 1 2

7
Thm 3.6 – Alt. Ext. s Thm. If 2 lines are cut by a transversal, then the pairs of alternate exterior s are . i.e. If l m, then 12. l m 1 2

8
Thm Transversal Thm. 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. t 1 2 l m

9
**Proof of transversal thm**

Statements l m, t l 12 m1=m2 1 is a rt. m1=90o 90o=m2 2 is a rt. t m Reasons Given Corresp. s post. Def of s Def of lines Def of rt. Substitution prop =

10
Ex: Find: m1= m2= m3= m4= m5= m6= x= 1 125o 2 3 5 x+15o

11
**Ex: Find: m1=55° m2=125° m3=55° m4=125° m5=55° m6=125° x=40°**

125o 2 3 5 x+15o

Similar presentations

OK

Objective Use the angles formed by a transversal to prove two lines are parallel.

Objective Use the angles formed by a transversal to prove two lines are parallel.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on p&g products brands consumers Ppt on laser power transmission Ppt on event handling in javascript something happens Ppt on suspension type insulation tool Ppt on micro windmills Ppt on internal auditing process flowchart Ppt on digital media broadcasting company Ppt on right to information act Ppt on event handling in javascript 17%5 Ppt on media research topics