Question

Korri plotted three vertices of a rectangle on a coordinate plain at (-3,3) (1.5,3), (-3, -21/2.) Wha t is the 4rth point of the rectangle?

Answer 1

Answer:

$(x_4,y_4) = (1.5,-2\frac{1}{2})$

Step-by-step explanation:

Given

$(x_1,y_1) = (-3,3)$

$(x_2,y_2) = (1.5,3)$

$(x_3,y_3)=(-3,-2\frac{1}{2})$

Required

Determine the coordinate of the 4th point

From the given parameters, we can see that the rectangle is either horizontal or vertical.

This is because:

$x_1 = x_3 = -3$

and

$y_1 = y_2 = 3$

To calculate the fourth point, we simply make use of:

$x_2 = x_4$ and $y_3 = y_4$

Substitute 1.5 for x2 in $x_2 = x_4$

$1.5= x_4$

$x_4=1.5$

Substitute -2 1/2 for y3 in $y_3= y_4$

$-2\frac{1}{2}= y_4$

$y_4 = -2\frac{1}{2}$

Hence, the 4th point is:

$(x_4,y_4) = (1.5,-2\frac{1}{2})$