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

Circle, in one point of the circle only one tangent can be drawn. prove

in one point of the circle only one tangent can be drawn. prove

., WRITE the condition that should be fulfilled by two matrices A&B to get ...

WRITE the condition that should be fulfilled by two matrices A&B to get the product AB and BA

I am mathematics expert, i want some assignment for earning i am mathemati...

i want some assignment for earning i am mathematics expert plz provide us mathematics assignment as soon as possible

How many hours does dee work, Susan begins work at 4:00 and Dee starts at 5...

Susan begins work at 4:00 and Dee starts at 5:00. They both finish at the similar time. If Susan works x hours, how many hours does Dee work? Since Susan started 1 hour before

Exponential functions, The exponential functions are useful for descr...

The exponential functions are useful for describing compound interest and growth. The exponential function is defined as:          y = m. a x where '

3/8:5/9, how do I change this ratio to a fraction

how do I change this ratio to a fraction

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