Parallel Lines, Perpendicular Lines,

Midpoint, DistanceBY: Joseph A. Tudda III

Parallel Lines Two or more lines that

never touch and stay the same distance apart.

Perpendicular Lines Perpendicular lines

consist of at least two intersecting to form 90° angles.

Midpoint The midpoint is a

point on a line or in a set of points that is the center.

On a line the midpoint is the middle

If given two points you can use the midpoint formula to find the midpoint.

Distance Formula Ex

To find Distance the formula above can be used.

The Distance Formula is used to find the distance between two given points

Distance can help find if two triangles or figures are congruent

Example 1 Find the distance of

point A and B.

Example 1 Find the distance of

point A and B. First know what points

you are using.

Example 1 Find the distance of

point A and B. First know what points

you are using. Second Plug into

formula.

2)^26(2))^3(4(

Example 1 Find the distance of

point A and B. First know what points

you are using. Second Plug into

formula. Then Solve for anwser.

2)^4(2)^7( 651649

Example 2 Is point c a midpoint? Are line ACB and Line

L parallel? Are line L and line K

Perpendicular?

A C B

Example 2 Is point c a midpoint?

◦ - Yes◦ This symbol means the

parts of the line are congruent and have C in common.

Are line ACB and Line L parallel?

Are line L and line K Perpendicular?

A C B

Example 2 Is point c a midpoint?

◦ - Yes Are line ACB and Line

L parallel?◦ -Yes◦ - This symbol shows that

they are parallel. Are line L and line K

Perpendicular?

A C B

Example 2 Is point c a midpoint?

◦ - Yes Are line ACB and Line

L parallel?◦ -Yes

Are line L and line K Perpendicular?◦ - No◦ - They are not at a 90°

angle.

A C B

Example 3 What is the distance

between these two lines?

Example 3 What is the distance

between these two lines?

First find the slope of both lines.

Example 3 What is the distance

between these two lines?

First find the slope of both lines.

Next find a point in common using a Perpendicular slope.

Example 3 What is the distance

between these two lines?

First find the slope of both lines.

Next find a point in common using a Perpendicular slope.

Last plug in to distance formula.

Practice 1 Find the distance.

Practice 1 Find the distance. (6-(-4))^2+(5-2)^2 10^2+3^2 100+9 109

Practice 2 What is the midpoint?

Practice 2 What is the midpoint? 7-10 =-3/2

5-14 =-9/2

( , )

www.khanacademy.org www.mathsisfun.com http://www.statisticslectures.com/topics/mid

pointformula/ http://jwilson.coe.uga.edu/EMAT6680Su12/C

arreras/HW_10/HW_10.html

Citations