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

Simplification, if a+1/b=b+1/c=c+1/a then the value of abc is

if a+1/b=b+1/c=c+1/a then the value of abc is

Geometry , Solving for X in isosceles triangles

Solving for X in isosceles triangles

Algebra, please tell me what is algebra and how i can understand it

please tell me what is algebra and how i can understand it

Find out the volume of the solid- method of rings, Find out the volume of t...

Find out the volume of the solid obtained by rotating the region bounded by y = x 2 - 2x and  y = x about the line y = 4 . Solution: Firstly let's get the bounding region & t

The shortest distance between the line y-x=1 and curve x=y^2, Any point on ...

Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2

Triangles, if triangle abc is similar to def and ab/de=3/4 find the ratio a...

if triangle abc is similar to def and ab/de=3/4 find the ratio af their perimeter and area

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