View
215
Download
0
Category
Preview:
Citation preview
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
Recommended