These must add up to 180 degrees. Scavenger Hunt Recording Sheet. This transversal creates eight angles that we can compare with each other to prove our lines parallel. Now let's look at how our converse statements will look like and how we can use it with the angles that are formed by our transversal. 0% found this document useful (0 votes). Amy has a master's degree in secondary education and has been teaching math for over 9 years. Did you find this document useful? Now, with parallel lines, we have our original statements that tell us when lines are parallel. Buy the Full Version. To begin, we know that a pair of parallel lines is a pair that never intersect and are always the same distance apart. Proving lines parallel practice. The path of the kicked football can be modeled by the graph of. To use this statement to prove parallel lines, all we need is to find one pair of corresponding angles that are congruent.
The word 'alternate' means that you will have one angle on one side of the transversal and the other angle on the other side of the transversal. So if one angle was at the top left corner at one intersection, the corresponding angle at the other intersection will also be at the top left. We have four original statements we can make.
The interior angles on the same side of the transversal are supplementary. You will see that the transversal produces two intersections, one for each line. Register to view this lesson. Unlock Your Education. To prove any pair of lines is parallel, all you need is to satisfy one of the above.
Converse of the Consecutive Interior Angles Theorem If two lines are cut by a transversal such that a pair of consecutive interior angles are supplementary, then the two lines are parallel. Problem of the Week Cards. These are the angles that are on the same corner at each intersection. Practice 3 1 properties of parallel lines. Here, the angles are the ones between the two lines that are parallel, but both angles are not on the same side of the transversal. Joke Time How do you know when it's raining cats and dogs?
For example, if I added the angle at the bottom left of the top intersection to the angle at the top left of the bottom intersection and I got 180 degrees, then I can use this statement to prove my lines are parallel. Remember what converse statements are. That is all we need. Proving Lines Parallel Flashcards. You are on page 1. of 13. 4 If 2 lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.
All I need is for one of these to be satisfied in order to have a successful proof. Share this document. Parallel Lines Statements. I would definitely recommend to my colleagues. What are the properties that the angles must have if the lines are parallel? The resource you requested requires you to enter a username and password below: Search inside document.
We can use the converse of these statements to prove that lines are parallel by saying that if the angles show a particular property, then the lines are parallel. If 2 lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel. 0% found this document not useful, Mark this document as not useful. This is what parallel lines are about. Through a point outside a line, there is exactly one line perpendicular ot the given line. Proving lines are parallel. Original Title: Full description. Share with Email, opens mail client. To unlock this lesson you must be a Member.
Why did the apple go out with a fig? Online Student Edition. Other sets by this creator. Resources created by teachers for teachers. See for yourself why 30 million people use. Yes, here too we only need to find one pair of angles that is congruent. Do you see how they never intersect each other and are always the same distance apart? 'Interior' means that both angles are between the two lines that are parallel.