(628)-272-0788 info@etutorworld.com

Parallel Lines 

What are Parallel Lines?

Non-intersecting straight lines, which do not meet when produced however far on either side, are called ‘parallel’.

parallel lines

The distance between the parallel lines AB and CD is the length of the perpendicular PQ from P (any point in AB) to CD.

parallel lines

The distance between any two parallel lines will always remain the same. A line is parallel to itself. Through a given point, only one straight line can be drawn parallel to another straight line.

A ‘transversal’ is a straight line which cuts two or more straight lines.

parallel lines

The pair of angles 1 and 5, 2 and 6, 3 and 7, 4 and 8 are called ‘corresponding angles’.

The pair of angles 3 and 5, 4 and 6 are called ‘alternate angles’.

Example: Find the value of x.

parallel lines

10x + 5 = 65° (corresponding angles)

10x + 5 – 5 = 65° – 5

10x = 60°

\frac{10x}{{10}} = \frac{60}{{10}} => x = 6

CHECK POINT

 

  1.   What is the measure of the indicated angle?
parallel lines

2. Solve for x:

parallel lines

True or False:

 

When a transversal cuts two parallel lines, then the pairs of corresponding angles so formed are equal. __________

 

 1. Solve for x:   

 

                                                                                                  parallel7-300x274

2. Find the value of x:                                                                                                                                               

  parallel8-300x224

Answer key
  1. 78°
  2. 9
  3. True
  4. 6
  5. 8

eTutorWorld Understands Math Tutoring | Online Math Worksheets are Important Tools

Understanding graphs, charts, and opinion polls in a newspaper, for calculating house and car payments, and for choosing a long-distance telephone service are impossible without strong math skills …and the only way to develop strong math skills is by constant practice.

‘Practice makes a man perfect’ holds true for no other field better than for math. A middle or high school student must set aside a minimum of an hour for math every day. Other than textbooks, worksheets help you revise and understand concepts better.

Our expert tutors prepare online maths worksheets that are age and grade-appropriate. Grade-wise math worksheets for Elementary Math, Arithmetic, Pre-Algebra, Algebra, Geometry, Trigonometry, Statistics, Pre-Calculus and Calculus can be solved to improve math skills, to get ahead or to even catch up.

You may download these FREE online math worksheets in the PDF format, and then print and email us their solutions for a free evaluation and analysis by eTutorworld’smath expert tutors.

You may solve these worksheets by yourself or with your peers while studying together.

The Answer Key at the end of each worksheet allows for a self-evaluation.

Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12, Test Prep help for Standardized tests like SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE CLASS.

No credit card required, no obligation to purchase.
Just book a free class to meet a tutor and get help on any topic you want!

Pricing for Online Tutoring

Tutoring PackageValidityGrade (1-12), College
5 sessions1 Month$139
1 session1 Month$28
10 sessions3 months$269
15 sessions3 months$399
20 sessions4 months$499
50 sessions6 months$1189
100 sessions12 months$2249