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Triangle \( \triangle KLM \) has vertices \( K(1, -4) \), \( L(-3, 3) \), and \( M(-5, -1) \). The triangle is translated so that \( K' \) is located at point \((-3, 2)\). State the coordinates of \( L' \) and \( M' \), where \( \triangle K'L'M' \) is the translation of \( \triangle KLM \).

Answer :

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)

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Rewritten by : Barada

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