4-4 parallel & perpendicular lines objectives: 1.write an equation of the line that passes...

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.

PARALLEL LINES:

• Have the same slope

• Don’t ever cross(intersect)

Example 1: Graph the lines

EXAMPLE 2: IDENTIFY WHICH LINES ARE PARALLEL

A.

B.

C.

D.

E.

F.

G.

H.

EXAMPLE 3: IDENTIFY WHICH LINES ARE PARALLEL.

A. B.

C. D.

EXAMPLE 4: A) WRITE THE EQUATION OF A LINE PARALLEL TO AND PASSES THROUGH THE POINT

TRIVIA…1. What baseball team did Babe Ruth first play for?

Boston Red Sox

2. What company did Bill Gates start?Microsoft

EXAMPLE 4: B) WRITE THE EQUATION OF A LINE PARALLEL TO AND PASSES THROUGH THE POINT

EXAMPLE 4: C) WRITE THE EQUATION OF A LINE PARALLEL TO AND PASSES THROUGH THE POINT

PERPENDICULAR LINES:

• Have opposite (+ or - ) reciprocal slopes

• Cross(intersect) making a right (90º) angle.Example 5: Graph the lines.

EXAMPLE 6: WRITE THE PERPENDICULAR SLOPE TO EACH OF THE FOLLOWING:

A. B.

C. D.

EXAMPLE 7: IDENTIFY WHICH LINES ARE PERPENDICULAR

A.

E.

F.

G.

H.

I.

EXAMPLE 8: IDENTIFY WHICH LINES ARE PERPENDICULAR.

A. B.

C. D.

EXAMPLE 5: A) WRITE THE EQUATION OF A LINE PERPENDICULAR TO AND PASSES THROUGH THE POINT

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

EXAMPLE 5: B) WRITE THE EQUATION OF A LINE PERPENDICULAR TO AND PASSES THROUGH THE POINT

EXAMPLE 5: C) WRITE THE EQUATION OF A LINE PERPENDICULAR TO 0AND PASSES THROUGH THE POINT

PRACTICE

WS

HOMEWORK:

Pages 242 – 244: 17, 21, 22, 25, 27, 29, 33-41 odd, 47