What is congruent angles in parallel lines, Mathematics

Assignment Help:

What is Congruent Angles in Parallel Lines ?

Postulate 4.1 (The Parallel Postulate)

Through a given point not on a line there is exactly one line parallel to the line.

Theorem

If two parallel lines are cut by a transversal, each pair of alternate interior angles are congruent.

Given: and intersects at P
Prove: 1 @ 2
Proof: (indirect proof)

Assume m1  m2. Then we can draw another line through P such that the 3 formed by and is congruent to 2. From Theorem 4.1, // . That means is parallel to two lines in the plane at point P. This violates the Parallel Postulate. So we conclude that our assumption is false. Therefore, 1 @ 2

 


Related Discussions:- What is congruent angles in parallel lines

Determine that the following series is convergent or diverge, Determine or ...

Determine or find out if the following series is convergent or divergent. Solution In this example the function we'll use is, f (x) = 1 / (x ln x) This function is

Trigonometry, if tan theta =1,find the value of sin4 theta + cos4 theta

if tan theta =1,find the value of sin4 theta + cos4 theta

Using a number strip substract , Another aid that can help children pract...

Another aid that can help children practise subtraction is the number strip. TGS can be used to improve their ability to count backwards. For example, subtracting 4 from 9 means

Determine dy & dy if y = cos ( x2 + 1) - x, Determine dy & Δy  if y = cos ...

Determine dy & Δy  if y = cos ( x 2 + 1) - x as x changes from x = 2 to x = 2.03 .  Solution Firstly let's deetrmine actual the change in y, Δy . Δy = cos (( 2.03) 2

Regression - measures of relationships, Regression - Measures of Relationsh...

Regression - Measures of Relationships - It is a concept that refers to the changes which happen in the dependent variable as a result of changes happens on the independent va

Prisms, i have to find surface,lateral,and volume

i have to find surface,lateral,and volume

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd