Bronson is using a coordinate plane to design a rectangular swimming pool. he will plot points on the coordinate plane to make the vertices of the rectangular pool bottom. if bronson plots the first three points at (5,3) (5,13) and (30,13) what would be the coordinates of the fourth point?

(30,3)

The graph should look like a rectangle.

(x,y)

The x value must be 30 since it is a rectangle, and y must be 30 because it is a rectangle. If you look at the first three points, you see they make a triangle. (5,3) has the same x-value as the point (5,13). The point (5,13) has the same y-value as the point (30,13). So the fourth point must have a x-value and y-value that makes a rectangle when plotted.

54

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl