Parallel and Perpendicular 1/4 lines Parallel lines: 2 different lines that have the same slope and will never touch *If 2 NONVERTICAL lines are parallel they have the same slope *If 2 parallel lines are vertical, they are UNDEFINED.

Perpendicular lines Perpendicular lines have a slope that is both INVERSE and NEGATIVE to each other If the slope of line 1 is 4 Then… Perpendicular line slope is -1/4 ** They make RIGHT angles

The Distance and Midpoint Formulas

Distance Formula Used to find the distance between two points **** YOU MIGHT NOT GET A PERFECT SQUARE. IN THIS CASE, LEAVE IT IN SQUARE ROOT FORM

Using the Distance formula To find the distance between 2 spots you need to know WHERE THE 2 SPOTS ARE!! There will be 2 “X” values to work with There will also be 2 “Y” values to work with

When given 2 sets of coordinates….see sheet Plug these in to the formula A ( 9, 14) B ( 8, 3) X1 = 9 X2 = 8 Y1 = 14 Y2 = 3

Example Find the distance between A(4,8) and B(1,12) A (4, 8) B (1, 12)

Solve for distance: Example 1

YOU TRY!! Find the distance between: A. (2, 7) and (11, 9) B. (-5, 8) and (2, - 4)

triangle has equal sides Can be used to find if a triangle has equal sides IF YOU USE THE DISTANCE FORMULA TO CALCULATE THE SIDDES OF A TRIANGLE, YOU CAN DETERMINE IF THE TRIANGLE HAS EQUAL SIDES. A Measure distance AB BC AC B C

Midpoint Formula Used to find the center of a line segment *** THE MIDPOINT FORMULA FINDS THE EXACT MIDDLE OF A LINE SEGMENT***

Example Find the midpoint between A(4,8) and B(1,12) A (4, 8) B (1, 12)

YOU TRY!! Find the midpoint between: A) (2, 7) and (14, 9) B) (-5, 8) and (2, - 4)

You try it….. Homework: Page: 603 #6-35