# Module 10 Coordinate Proof Using Slope & Distance

- Author:
- Lydia Pernia

## Coordinate Points

Write the four coordinate points with labels.

## Task 2 Calculate distance of AB

Calculate the distance from A to B. Use the example below to show the work. A (8, 1) B(2, 4) d(AB) = SQRT ( ( x₂ - x₁)^2 + ( y₂ -y₁)^2 ) d(AB) = SQRT ( ( 8 - 2 )^2 + ( 1 - 4)^2 ) d(AB) = SQRT ( (6)^2 + (-3)^2 ) d(AB) = SQRT ( 36 + 9 ) d(AB) = SQRT ( 45) = 6.71

## Find the perimeter.

## Find the Perimeter

Find the perimeter. Use the example below to show your work. AB = 6.71, BC = 5, CD = 10, DA = 8 Perimeter = 6.71 + 5 + 10 + 8 = 29.71

## Find midpoint of AB

Find the mid point of AB. Use the example below to show your work. A (8, 1) B(2, 4) mp(AB) = (x₁+x₂)/2, (y₁+y₂)/2, (mp(AB) = (8+2)/2, (1 + 4 )/2 mp(AB) = (10/2, 5/2) mp(AB) = ((5,2.5)

## Coordinates of E and F?

What are the coordinates of E and F?

## Slope of EF

Find the slope of EF. Show all your work. Follow the example below. E ( 2 , 6) F ( 4 10) m = ( y₂ - y₁) / ( x₂ - x₁) m = (10 - 6 ) / ( 4 -2 ) m = 4 / 2 =2

## What type of quadrilateral?

What type of quadrilateral did you form connecting the midpoints.Give the reason why.

Describe how you would find the perimeter of the figure above. Use as much detail as possible. Examples " count spaces, use distance formula, use Pythagorean theorem......Go line by line.

What is the perimeter?

Describe your strategy for finding the area of the shape. How would you break it up? What would be the coordinate points of the new shapes created? Label everything.

What is the area of the shape?