In the solve it, you used parallel lines to find congruent and supplementary relationships of special angle pairs. Find the value of x that makes lines u and v parallel. When you move the bar, the slats tilt at the same angle. Remember that the converse of a true conditional statement is not necessarily true, so each converse of a theorem must be proved, as in example 3. You will use the congruent and supplement relationships of the special angle pairs to prove lines parallel. Notes from the lessons are available from powerpoint presentations. Proving lines parallel 4 chapter 3 parallel and perpendicular lines. Theorem 310 two lines parallel to a third line are parallel to each other. Holt mcdougal geometry 3 3 proving lines parallel bellringer. Proving lines are parallel students learn the converse of the parallel line postulate.
Parallel lines with transversals and angle theorems. Theorems 33 and 34 allow you to make conclusions about alternate exterior angles and sameside exterior angles. Parallel lines presentation template includes builtin layouts and stunning backgrounds to make your presentation a winner. The parallel postulate guarantees that for any line. In this geometry lesson you will learn about proving lines parallel and converse of the corresponding angles theorem, alternate interior angles theorem, alternate exterior angles theorem and. Find x and mlabc corresponding angles are congruent, alternate exterior angles are congruent, consecutive interior angles are supplementary, alternate interior angles are congruent, or. Th 32 samesided interior angle theorem if a transversal intersects two lines. Angles in parallel lines worksheets with answers teaching.
Corresponding angles converse postulate if 2 lines. Click worksheets to download similar style worksheets on other topics. Hi guys, you need to follow along in your notes and figure out the connection between the converse of the corresponding angles postulate and your. Condense down as i did for you on the corresponding angles converse. Solution lines m and n are parallel if the marked corresponding angles are congruent. Corresponding angles converse guided practice write out the following using your notes from last class. The attention we pay to the finest detail make this presentation template truly worldclass. Chapter 3 geometry powerpoint strongsville city schools. Aug 22, 20 3 3 proving lines parallel 20 ben lewis.
Theorem 38 through a point outside a line, there is exactly one line parallel to the given line. If corresponding angles are congruent, then the lines are parallel. If two parallel planes are cut by a third plane, then the lines of intersection are. Ppt proving lines parallel powerpoint presentation, free. Students will be able to determine whether two lines are parallel write flow proofs define and apply the converse of the. Ppt 33 proving lines parallel powerpoint presentation, free. Converse of the corresponding angles postulate if two coplanar lines are cut by a transversal so that a air of corresponding angles are congruent, then the two lines are parallel. Use properties of parallel lines to solve reallife problems assignment. To prove those two lines are parallel, you use the converse of the alternate interior angles. If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel. Ppt proving lines parallel 33 powerpoint presentation. Lesson 31 properties of parallel lines 129 you can display the steps that prove a theorem in a proof of theorem 31 if a transversal intersects two parallel lines. Holt mcdougal geometry 33 proving lines parallel the converse of a theorem is found by exchanging the hypothesis and conclusion.
Geometry slide show math powerpoint lessons, teacher. It is drawn with two endpoints ray a ray goes on and on in one direction. What conjectures can you make about the relationships between the given angles and the slopes of the given lines. Learn vocabulary, terms, and more with flashcards, games, and other study tools. We take pride in employing features most companies skip because its too much work. We have identifying parallel lines, identifying perpendicular lines, identifying. A free powerpoint ppt presentation displayed as a flash slide show on. Objectiveuse the angles formed by a transversal to prove two lines are parallel. Ppt angles and parallel lines powerpoint presentation. Sep 27, 2019 proving lines parallel warm up lesson presentation lesson quiz holt geometry holt mcdougal geometry holt mcdougal geometry proving lines parallel irespond question. Geometry powerpoint perpendicular and parallel lines. The converse of the corresponding angles postulate states that if two coplanar lines are cut by a transversal so that a pair of corresponding angles is congruent, then the two lines are parallel.
If these angles are congruent, then the lines are parallel. Ixl proofs involving parallel lines i geometry practice. Enemy lines parallel lines can you find the parallel lines. Geometry 2 how to write a proof for parallel lines. You can use certain angle pairs to determine if two lines are parallel. If the blue lines are parallel, then the con secutive interior angles must be supple mentary. Find the measure of the indicated angle that makes lines u. This keeps them parallel and illustrates the converse of the corresponding angles postulate.
Th 3 2 samesided interior angle theorem if a transversal intersects two lines, then the samesided interior angles are supplementary. Proving lines parallel powerpoint ppt presentation. And why to show how to paint parallel lines on a parking lot, as in example 3 on window blinds like those shown here, you move the tilt bar to let in or shut out the light. I plan on posting 12 powerpoints one for each chapter in our textbook. Proving lines parallel warm up lesson presentation lesson quiz holt geometry holt mcdougal geometry holt mcdougal geometry proving lines parallel irespond question. A person could easily teach himherself perpendicular and parallel lines with this powerpoint. The top two lines are parallel because l1 ol2 and they are alt. Ppt 33 proving lines parallel powerpoint presentation. Students will be able to determine whether two lines are parallel write flow proofs define and apply the converse of the theorems from the previous section. Proving lines are parallel proving parallel lines 3. Sep 08, 20 below are the printable assignments for chapter 3. Sameside interior angles are today, we are going to focus on the converse of each of the above theorems.
Lesson practice a 33 proving lines parallel dragonometry. Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles. Use properties of parallel lines to solve problems. Determine whether each pair of lines is parallel, explain why or why not. Converse of the consecutive sameside interior angles theorem if two lines are cut by. Define and apply the converse of the theorems from the previous section. When two parallel lines are cut by a transversal, the following pairs of angles are congruent. Converse of the alternate interior angles theorem if two coplanar lines are cut by a transversal so that a pair of alternate interior angles are congruent, then two lines are parallel. Use the transitive property of parallel lines utility poles each utility pole shown is parallel to the pole immediately. Lesson 3 1 properties of parallel lines 129 you can display the steps that prove a theorem in a proof of theorem 3 1 if a transversal intersects two parallel lines, then alternate interior angles are congruent. Objectivesassignment prove that two lines are parallel. Proving parallel lines with two column proofs geometry, practice problems duration. Example 3 and its quick check prove theorems 33 and 34 as stated on the next page. It is drawn with an arrow on one end and an endpoint on the other.
If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. Our parallel and perpendicular lines worksheets are free to download, easy to. Proving parallel lines with videos, worksheets, games. Ppt proving lines parallel powerpoint presentation. Oct 02, 2018 if these angles are congruent, then the lines are parallel. Whether you are a high school, middle school, or elementary school math teacher, you will find this to be an engaging tool. Sep 29, 2014 in this geometry lesson you will learn about proving lines parallel and converse of the corresponding angles theorem, alternate interior angles theorem, alte. Proving lines parallel identify parallel lines if two lines in a plane are cut by a transversal and certain conditions are met, then the lines must be parallel. Converse of the corresponding angles theorem theorem. Ppt 33 parallel lines powerpoint presentation free to.
How do i set up an equation to solve for the xvalue that. Parallel lines presentation template for powerpoint and. Proving lines parallel the converse of the corresponding angles postulate is used to construct parallel lines. Proving lines parallel period identify parallel lines if two lines in a plane are cut by a transversal and certain conditions are met, then the lines must be parallel. Example find values of x and y that make the red lines parallel and the blue lines parallel.
Identify the special pairs of angles created by lines and transversals. A free powerpoint ppt presentation displayed as a flash slide show on id. Theorem 39 through a point outside a line, there is exactly one line perpendicular to the given line. Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning. Converse theorems with parallel lines and transversals. Geometry worksheets parallel and perpendicular lines worksheets. Proving parallel lines with two column proofs geometry. Ppt proving lines parallel powerpoint presentation free. In this geometry lesson you will learn about proving lines parallel and converse of the corresponding angles theorem, alternate interior angles theorem, alte. Parallel lines are lines that when parallel lines are intersected by a transversal 1. Can you determine other unmarked angle measures in the diagram. If two lines and a transversal form corresponding angles that are congruent, then the lines are.
1357 661 359 766 1616 260 579 948 398 1125 765 987 988 523 1579 685 973 1008 1197 1330 896 1556 739 1235 348 1002 619 1648 149 1179 862 484 1386 1452 1328 1474 559 1285 1402 981 897 1358 1291 1260 1487 398 1015