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Geometry 2.5 Perpendicular Lines Perpendicular Lines Definition Lines Defn. – two lines that intersect to form right angles . JK MN M J . K . . L Segments and rays may also be perpendicular JK MN LJ LN JK ML . JK N LN Two Ways to Use the Defn. 1) If JK MN, then… each of the 4 angles is a right angle. 2) If any one of the four angles is a right angle, then… . M JK MN J . K . . L . N Two New Theorems If two lines are perpendicular, then they form congruent adjacent angles. lines form adj. ' s If two lines form congruent adjacent angles, then the lines are perpendicular. . M lines adj. ' s Example If m1 m4 , then…. JK NM by… adj. ' s J . lines K 1 2 4 3 . N . Theorem If the exterior sides of two adjacent angles are perpendicular, then the angles are complementary. Ext. sides of 2 adj. ' s comp. ' s A . If OA OC, then… 1 and 2 are complementary. O B . 1 . 2 . C Let’s Try Some Together Please open your books to page 57 (#1, 6-11) 1) Given Defn. of lines Defn. of congruent angles 6) Defn. of lines 7) Defn. of lines 8) Lines form adj. ' s 9) Defn of lines 10) adj. ' s Lines 11) Defn. of lines A Few Together from the HW P. 58-59, Let’s complete #11, #18, and #19 together HW P.58-59 (#1-25)