- The document provides an agenda and review for a test on radical operations. It includes reviewing yesterday's topic, taking Radical Test #1, and reviewing test problems involving distances between points using the distance formula.
- Examples are given of using the distance formula to find the distance between points, including deriving the formula from the Pythagorean theorem. Steps are shown for plugging coordinates into the formula and calculating distances.
- A review of graphing concepts is also provided, including defining the x-axis, y-axis, quadrants, and positive and negative regions.
6. The distance between A and B is
| | | | | | | | | | | | | |
-5 4
A B
| -5 – 4 | = | -9 | = 9
Remember: Distance is always positive
7. A
B
The Distance Formula Is Derived
From The Pythagorean Formula
6
15
6² + 15² = C²
𝟐𝟔𝟏=C
As you can see, the shortest distance between two points is...
A straight line; 16.16 < 21
8. Distance Formula
Dist. = ( x2 - x1 )² + ( y2 - y1 )²
Remember the order ( x , y )
All answers are positive
9. Find the distance between the two points on the graph.
The Distance Formula:
What is the distance
along the x axis?
What is the distance
along the y axis?
Let's first use the P.T. to find the distance: a2 + b2 = c2
Now, let's use the distance
formula....
