Question

/ has vertices K(1, –4), L(–3, 3), and M(–5, –1). / is translated so that K’ is located at point (–3, 2). State the coordinates of L’ and M’, where / is the translation of /.

Answer 1

The coordinates of L' and M' are:
L' (-7,9)
M' (-9,5)

Answer 2

Answer with explanation:

Coordinates of K=(1,-4), L =(-3,3) and M = (-5,-1).

Now, each vertex of triangle is translated ,such that coordinates of Image ,that is K' becomes , (-3,2).

K (1, -4)→ K'(-3,2)

So, when you will draw the points in two dimensional coordinate plane,you will say that, Point K has been translated Horizontally left , by 4 units and and vertically up by 6 units.

This can be shown as :

→ 1 +x = -3

x= -3 -1

x= -4 →Horizontally left

→-4 + y =2

y=2+4

y=6→→Vertically up

So,Coordinates of L (-3,3)= (-3 -4, 3 +6)=(-7, 9)

Coordinates of M (-5, -1)=(-5 -4 , -1 +6)= (-9, 5)

L'= (-7,9)

M'=(-9,5)