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In this lesson, we will learn how to use the distance, slope, and midpoint formulas to determine the coordinates, area, and perimeter of a rectangle in the coordinate plane.
Q1:
William has a rectangle-shaped garden which he wants to fence. He sketched his garden on a coordinate plane with vertices at ( β 2 , 3 ) , (4,3), ( 4 , β 4 ) , and ( β 2 , β 4 )
What are the dimensions of his garden?
If each unit of the grid represents 1 m, how many meters of fencing should he buy?
Q2:
Select the expression that is equal to the area of the rectangle.
Q3:
A parallelogram has vertices at the coordinates π΄ ( 1 , β 3 ) , π΅ ( 2 , β 1 ) , πΆ ( 5 , β 3 ) , and π· ( 4 , β 5 ) .
Work out the length of the diagonal π΄ πΆ .
Work out the length of the diagonal π΅ π· .
Using these lengths, is the parallelogram π΄ π΅ πΆ π· a rectangle?
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