Module 10 Coordinate Proof Using Slope & Distance
so that no two sides are congruent or parallel. Hint: choose even number coordinates to make the math easier.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.
tool.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)
to find the midpoint of all four sides. Start with midpoint of AB then BC, CD and DA.
Then use the polygon tool to create a quadrilateral using the midpoints as vertices EFGH.
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
to find the slope of all four sides of the inscribed quadrilateral.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?