Download Notes on Slope and Distance Formula

Warm Up
Locate the following:
1. Geogebra: Sp. Rt. Triangles Activity
– No geogebra print out required
2. Tree Measuring Activity
3. Geogebra: Parallelogram Activity
– No geogebra print out required
4. Int. and Ext. Angles of Quadrilaterals
– (blue/green paper)
5. Geogebra: Interior Angles in Polygons
– 2 parts: PowerPoint and Worksheet from class
If you absolutely cannot locate some of these please plan to come
next Monday or Tuesday after school to make up the assignment.
Answers to Geogebra Activity
1.
2.
3.
4.
𝟏𝟖𝟎(𝒏 − 𝟐)
𝒂𝒏𝒈𝒍𝒆 =
𝒏
Polygon Worksheets
Distance Formula and Slope
with Polygons
Slope
• Slope is used to determine if lines or sides of a figure
are parallel, perpendicular, or just intersecting.
• Parallel lines have EQUAL slope!!
– Ex:
• Perpendicular lines have NEGATIVE RECIPROCAL
slope.
– Ex:
• If the slopes are neither equal nor negative
reciprocals of each other then the lines are just
intersecting.
– Ex:
y1 - y2
Formula: m =
x1 - x2
Example
Draw quadrilateral QUAD with vertices at:
Q(1, 4), U(7, 8), A(9, 5), and D(3, 1).
What type of quadrilateral is QUAD?
Slopes:
The Distance Formula
• The distance formula is used to find the distance
between two points:
(x1 , y1) and (x2 , y2)
d = (x1 - x2 ) + (y1 - y2 )
2
2
Example
Draw quadrilateral QUAD with vertices at:
Q(1, 4), U(7, 8), A(9, 5), and D(3, 1).
What type of quadrilateral is QUAD?
Slopes:
QU = 2/3
UA = -3/2
Distances:
AD = 2/3
DQ = -3/2
Infinite
Geometry
Kuta Software
- Infinite Geometry
Name___________________
Name_____
Examples
eThe
Formula
Distance Formula
Date__________
Use the distance formula to find the distance
ceFind
between
each pair
of points.
answer
to the
nearest
tent
the distance
between
eachRound
pair ofyour
points.
Round
your
answer
to
between the following two points.
1)
2
2)
y
4
-4x
y
2)
y
4
4
4
2
2
2
-2
2
4
-4
x
-2
2
4
-4x
-2
-2
-2
-2
-4
-4
-4
3)
y
4
4)
y
4
4)
y
4
2
4-4
x-2
2
4
x
-2
Examples
-4
-2
-4
2
4-4
x -2
-2
-2
-4
-4
Use the distance formula to find the distance
between the following two points.
3)
y
2
4)
y
4-4
4)
y
y
4
4
4
2
2
2
x-2
2
4
-4
x
-2
2
4-4
x -2
-2
-2
-2
-4
-4
-4
5)
y
y
4
6)
6)
y
4
y
4