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Transcript
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
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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