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4-4 PARALLEL & PERPENDICULAR LINESOBJECTIVES:
1. WRITE AN EQUATION OF THE LINE THAT PASSES THROUGH A GIVEN POINT, PARALLEL TO A GIVEN LINE.
2. WRITE AN EQUATION OF THE LINE THAT PASSES THROUGH A GIVEN POINT, PERPENDICULAR TO A GIVEN LINE.
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PARALLEL LINES:
• Have the same slope
• Don’t ever cross(intersect)
Example 1: Graph the lines
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EXAMPLE 2: IDENTIFY WHICH LINES ARE PARALLEL
A.
B.
C.
D.
E.
F.
G.
H.
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EXAMPLE 3: IDENTIFY WHICH LINES ARE PARALLEL.
A. B.
C. D.
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EXAMPLE 4: A) WRITE THE EQUATION OF A LINE PARALLEL TO AND PASSES THROUGH THE POINT
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TRIVIA…1. What baseball team did Babe Ruth first play for?
Boston Red Sox
2. What company did Bill Gates start?Microsoft
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EXAMPLE 4: B) WRITE THE EQUATION OF A LINE PARALLEL TO AND PASSES THROUGH THE POINT
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EXAMPLE 4: C) WRITE THE EQUATION OF A LINE PARALLEL TO AND PASSES THROUGH THE POINT
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PERPENDICULAR LINES:
• Have opposite (+ or - ) reciprocal slopes
• Cross(intersect) making a right (90º) angle.Example 5: Graph the lines.
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EXAMPLE 6: WRITE THE PERPENDICULAR SLOPE TO EACH OF THE FOLLOWING:
A. B.
C. D.
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EXAMPLE 7: IDENTIFY WHICH LINES ARE PERPENDICULAR
A.
E.
F.
G.
H.
I.
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EXAMPLE 8: IDENTIFY WHICH LINES ARE PERPENDICULAR.
A. B.
C. D.
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EXAMPLE 5: A) WRITE THE EQUATION OF A LINE PERPENDICULAR TO AND PASSES THROUGH THE POINT
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TRIVIA…
1. What is the name of Homer Simpson's boss? Mr. Burns
2. What number was Michael Jordan drafted in 1984?
3
3. Who was the first winner on "American Idol?"
Kelly Clarkson
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EXAMPLE 5: B) WRITE THE EQUATION OF A LINE PERPENDICULAR TO AND PASSES THROUGH THE POINT
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EXAMPLE 5: C) WRITE THE EQUATION OF A LINE PERPENDICULAR TO 0AND PASSES THROUGH THE POINT
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PRACTICE
WS
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HOMEWORK:
Pages 242 – 244: 17, 21, 22, 25, 27, 29, 33-41 odd, 47