Please show your support for jmap by making an online contribution. Honors geometry chapter 3 proofs involving parallel and. Parallel lines and proofs printable math worksheets. If two parallel lines are intersected by a transversal, then alternate interior angles are equal in. If two lines are cut by a transversal so that alternate interior, alternate exterior, corresponding angles are congruent, then the lines are parallel. How to write a proof proving parallel lines youtube. Chapter 3 parallel and perpendicular lines study guide. Understand the parallel lines cut by a transversal theorem and its converse. If 2 parallel lines are cut by a transversal, then the same side exterior angles are supplementary. Proving lines are parallel with converse statements. Find the value of x that makes lines u and v parallel. Proofs involving parallel lines practice mathbitsnotebookgeo. Find the value of x in each question given that lines l and m are parallel. Ixl proofs involving parallel lines i geometry practice.
Use the diagram below to answer the following questions. Parallel lines proofs worksheet answers free pdf file. If we know that certain pairs of angles are congruent, we can also prove that two lines are parallel. Worksheet plete proof from parallel line proofs worksheet, image source. Learn how to write a proof when given angles from parallel lines and a transversalwe will explore angle relationships with parallel lines and a transversal. Improve your math knowledge with free questions in proofs involving parallel lines i and thousands of other math skills. Find the measure of the indicated angle that makes lines u and v parallel. Check your understanding of how to prove lines are parallel by completing this quiz and the corresponding worksheet. Students will practice using theorems about parallel lines, including alternate interior angles theorem, alternate exterior angles theorem, corresponding angles postulate, consecutive interior angles theorem, as well as linear pair postul. If two angles form a linear pair, their angle measures sum to 180. If two lines are cut by a transversal so that sameside interior angles are congruent, supplementary, complementary, then the lines are parallel.
Only one possible answer will be shown for each question. If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. In proofs, if we know that two lines are parallel, there are 3 conclusions that we can draw. December, 2010 in proofs, if we know that two lines are parallel, there are 3 conclusions that we can draw. Apply the postulate to prove theorems relating to parallel lines. Find the measure of the indicated angle that makes lines u.
163 347 949 1583 782 336 1383 1173 1028 207 902 1211 444 1057 67 1218 1224 563 1479 1043 35 1344 1293 636 554 773 204 339 131 981 263 816 815 344 1103 660 469 1032 1445 50 240