3-3 proving lines parallel powerpoint for mac

Th 32 samesided interior angle theorem if a transversal intersects two lines, then the samesided interior angles are supplementary. Ppt 33 proving lines parallel powerpoint presentation. The converse of a theorem is not automatically true. You will receive your score and answers at the end. As a member, youll also get unlimited access to over 79,000 lessons in math, english, science, history, and. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. 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. 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. Powered by create your own unique website with customizable templates. Ppt 33 parallel lines powerpoint presentation free to. Find x and mlabc corresponding angles are congruent, alternate exterior angles are congruent, consecutive interior angles are supplementary, alternate interior angles are congruent, or. Proving lines parallel 4 chapter 3 parallel and perpendicular lines. To prove those two lines are parallel, you use the converse of the alternate interior angles. Example 3 and its quick check prove theorems 33 and 34 as stated on the next page.

If a transversal intersects two parallel lines, then corresponding. Proving lines are parallel 1 proving lines are parallel. In the solve it, you used parallel lines to find congruent and supplementary relationships of special angle pairs. What conjectures can you make about the relationships between the given angles and the slopes of the given lines. Ppt proving lines are parallel powerpoint presentation. The following lessons were created as supplements for use with holts california edition of geometry by burger, chard, hall, kennedy, leinwand, renfro, roby, seymour, and waits shown below. Use the angles formed by a transversal to prove two lines are parallel. Chapter 3 parallel and perpendicular lines lesson 33 proving lines. Proving parallel lines with two column proofs geometry, practice problems duration. The parallel postulate guarantees that for any line. For the diagram below, find the measure of the angles indicated. For help with exercise 27, answer the following questions to fill in the numbered blanks what is the given statement. Use the given information and the theorems you have learned to show.

View homework help proving lines parallel homework key from math elementary at summit school, zeeland. Corresponding angles converse guided practice write out the following using your notes from last class. If it is true, it must be stated as a postulate or proved as a separate theorem. Learn 3 geometry 2 lines parallel proving with free interactive flashcards.

Lesson 31 properties of parallel lines 129 you can display the steps that prove a theorem in a proof of theorem 31. Proving lines parallel the converse of the corresponding angles postulate is used to construct parallel lines. Condense down as i did for you on the corresponding angles converse. Holt mcdougal geometry 33 proving lines parallel bellringer. Choose from 500 different sets of 3 geometry 2 lines parallel proving flashcards on quizlet. Theorems 33 and 34 allow you to make conclusions about alternate exterior angles and sameside exterior angles. Proving parallel lines with videos, worksheets, games.

If corresponding angles are congruent, then the lines are parallel. 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. Notes from the lessons are available from powerpoint presentations. Th 32 samesided interior angle theorem if a transversal intersects two.

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. Lesson practice a 33 proving lines parallel dragonometry. Key concepts theorem 33 alternate exterior angles theorem if a transversal intersects two parallel lines, then alternate exterior angles are congruent. You will be able to determine and prove that lines are parallel. Use the transitive property of parallel lines utility poles each utility pole shown is parallel to the pole immediately to its right. 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. How do i set up an equation to solve for the xvalue that.

Make conjectures and prove theorems by using postulates and properties of parallel lines and transversals. Proof of the converse of the alternate interior angles theorem converse of the corresponding angles postulate converse of the sameside interior angles theorem converse of the alternate interior angles theorem converse of the alternate exterior angles theorem. Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning. Prove and use theorems involving the properties of parallel lines cut by a transversal, similarity, congruence, triangles, quadrilaterals, and circles. Name class date practice 33 continued form g algebra determine the value of x for which r. If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel. Geometry slide show math powerpoint lessons, teacher. Proving lines parallel use a transversal in proving lines parallel. 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.

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. A free powerpoint ppt presentation displayed as a flash slide show on id. If two parallel lines are cut by a transversal, then the. Theorems 32 and 34 corresponding angles theorem and its converse theorem 32 corresponding angles theorem if a transversal intersects two parallel lines, then corresponding angles are congruent.