Acity grid of anytown, u. s.a is shown on the grid below. the fire department is represented by quadrilateral rstu. another fire department is opening in a different part of the city to maximize fire protection. the size of the new department’s property must be congruent to the older department. vertices a and b are plotted on the grid to represent two vertices of the new fire department quadrilateral abcd.. . what could be the ordered pairs representing vertices c and d of quadrilateral abcd so that the new fire department is congruent to the old fire department?

If the Quadrilateral points are R(-4,-3), S (-1,-3), T(-1,-5), U (-4,-5) and the vertices are at A (4,3) and B (1,3), then the vertices for C and D would be (1,1) and (4,1). Since the original fire department shape was three spaces across and two spaces down, you realize the vertices A (4,3) and B (1,3) are three spaces across, so all you have to do is count two spaces down from vertices A and B and you end up with C (1,1) and D (4,1).

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

maybe i can