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Geometry 3.6 Name: ___________________ Geom et ry 3.6 Prove Theorems About Perpendicular Lines If two lines ___________________ to form a linear pair of ____________________ angles, then the lines are perpendicular. If two lines are _________________, then they intersect to form ___________ _____________ angles. If two sides of two _______________ _____________ are perpendicular, then the _____________________ are complementary. Given that ABC ABD, what can you conclude about 3 and 4? Prove that if two lines are perpendicular, then they intersect to form four right angles. Given: a b a Prove: 1, 2, 3, 4 are rt s Statements 1. Reasons 1. 2. 2. 3. 3. 4. 4. 5. 5. 6. 6. 7. 7. 8. 8. 9. 9. 10. 10. 11. 11. Perpendicular Transversal Theorem If a trans. is _________ to 1 of 2 ________ lines, then it is _______ to the other. Lines to a Transversal Theorem In a plane, if 2 lines are _______ to the _________ line, then they are _______ to each other. 4 1 b 3 2 Geometry 3.6 Is b || a? Name: ___________________ Is b c? Distance From ________________ to line: length of __________________ from point and to line Between two parallel lines: length of _______________ to both lines What is the distance from point A to line d? e What is the distance from line c to line e? Assignment: 194 #2-10 even, 14-26 even, 30-46 even = 21 total Extra Credit: 197 #2, 8 = +2