Question

Write a rule for the translation of ALMN to AL'M'N'.
L'
-4
4
M'
-2
-2
y
N
L
(x, y) → (¯¯)
([
M
6 x
N

Answer 1

Answer:

$(x,y)\rightarrow (x-5, y+2)$

Step-by-step explanation:

A translation is a type of transformation that moves every point of a figure the same distance and in the same direction without changing its shape or size.

To write a rule for the translation of ΔLMN to ΔL'M'N', we can subtract the coordinates of a point in ΔLMN from the coordinates of the corresponding point in ΔL'M'N'.

Let's use point L(1, -1) and point L'(-4, 1):

$x_{L'}-x_L=-4-1=-5$

$y_{L'}-y_{L}=1-(-1)=2$

Therefore, to translate ΔLMN to ΔL'M'N' we need to subtract 5 from the x-coordinates of the points, and add 2 to the y-coordinates.

So, the mapping rule for the translation of ΔLMN to ΔL'M'N' is:

$\Large\text{ (x,y)\rightarrow (x-5, y+2) }$