Explain basic concepts of parallel lines, Mathematics

Assignment Help:

Explain Basic Concepts of Parallel Lines ?

Parallel lines are defined in section 1.2 and we use "//" to denote it. From the definition, we can get the following two consequences by observation.

1. Parts (segments or rays) of parallel lines are parallel.

2270_Parallel Lines.png

2. Extensions of parallel segments or rays are parallel.

2422_Parallel Lines 1.png

Definition 1

A transversal is a line that intersects two coplanar lines at two distinct points. The region between the two lines is the interior of the figure. The rest of the plane is the exterior.

2255_Parallel Lines 3.png

Example 1

In this figure, which line is an transversal, which region is interior and which one is exterior?
Answer Line n is a transversal regious a, c, e, and f are exterior regions b and d are interior

Definition 2

The distance between two parallel lines is the distance from any point on one line to the other line.

262_parallel lines 4.png


Related Discussions:- Explain basic concepts of parallel lines

Simple derivatives, Simple derivatives Example   Differentiate followin...

Simple derivatives Example   Differentiate following.  (5x 3   - 7 x + 1) 5 ,[ f ( x )] 5 ,[ y ( x )] 5 Solution: Here , with the first function we're being asked to

Complex numbers, How t determine locus of a goven point

How t determine locus of a goven point

Area problem, Area Problem Now It is time to start second kind of inte...

Area Problem Now It is time to start second kind of integral: Definite Integrals.  The area problem is to definite integrals what tangent & rate of change problems are to d

Calculate the value of expected value, The owner of TMH Hospital wants to o...

The owner of TMH Hospital wants to open a new facility in a certain area. He usually builds 25-, 50-, or 100-bed facilities, depending on whether anticipated demand is low, medium

Compound interest, you have RM5O,OOO to invest,and two fund that you''d li...

you have RM5O,OOO to invest,and two fund that you''d like to invest in.The You-Risk-It Fund yields 14% interest.The Extra-Dull Fund yields 6% interest.Besause of college financial-

Abels theorem, If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) ...

If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =

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

Question, If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, then what is Y - ...

If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, then what is Y - X ?

Estimate the grade resistance, The grade resistance is F=W sin θ, where θ i...

The grade resistance is F=W sin θ, where θ is the grade and W is the weight of the automobile.  What is the grade resistance of a 2500 pound car traveling on a 2.6 degree uphill gr

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