Three vertices of a rectangle are (−4, 5),(−4,2) (3,2). Plot these points and find the coordinates of the fourth vertex and find its area
Answers
Your 4 points of the rectangle are
A(−4,5),B(−4,2),C(3,2),D(x,y)
From inspection, we can see that A and B have the same x value, and it is most likely that this rectangle is not slanted as B and C have the same y value. Let's continue from here:
From point B to point A, the y value increased by 3, so we can say that from point C to point D the y value should also increase by 3 units. We can therefore deduce that the y value of D=(2+3)=5. Which also is the y value of point A. Now for the x values...
From point B to point D the x value increases by 7, so we can say that the x value should also increase by 7 from point A to point D... Therefore the x value of D is (−4+7)=3 (Which is the same x value as point C
Sometimes it is hard to understand how the graph looks by just reading the points, so let's make it graphical:enter image description here
I hope this helped ;)
Your 4 points of the rectangle are
A(−4,5),B(−4,2),C(3,2),D(x,y)
From inspection, we can see that A and B have the same x value, and it is most likely that this rectangle is not slanted as B and C have the same y value. Let's continue from here:
From point B to point A, the y value increased by 3, so we can say that from point C to point D the y value should also increase by 3 units. We can therefore deduce that the y value of D=(2+3)=5. Which also is the y value of point A. Now for the x values...
From point B to point D the x value increases by 7, so we can say that the x value should also increase by 7 from point A to point D... Therefore the x value of D is (−4+7)=3 (Which is the same x value as point C
Sometimes it is hard to understand how the graph looks by just reading the points, so let's make it graphical:enter image description here
I hope this helped ;)