Question

PLEASE HELP! Find the coordinates of the vertices of the figure after the given transformation: T<2,3>

A. N′(−1,0),U′(1,5),L′(3,2),H′(1,−2)
B. N′(1,0),U′(3,5),L′(5,2),H′(3,−2)
C. N′(0,−2),U′(2,3),L′(4,0),H′(2,−4
D. N′(1,−1),U′(3,4),L′(5,1),H′(3,−3)

Answer 1

The correct option is;

B. N'(1, 0), U'(3, 5), L'(5, 2), H'(3, -2)

Explanation:

The coordinates of the pre-image are given as follows;

H(1, -5), N(-1, -3), U(1, 2), and L(3, -1)

The required transformation is T₍₂, ₃₎,which is a translation of (two) 2 units right and an additional translation of (three) 3 units up, which gives the coordinates of the image as follows;

N(-1, -3) transformed by N(-1 + 2, -3 + 3)
`\overset{T_((2,\, 3))}{\rightarrow}` N'(1, 0)

U(1, 2) transformed by U(1 + 2, 2 + 3)
`\overset{T_((2,\, 3))}{\rightarrow}` U'(3, 5)

L(3, -1) transformed by L(3 + 2, -1 + 3)
`\overset{T_((2,\, 3))}{\rightarrow}` L'(5, 2)

H(1, -5) transformed by H(1 + 2, -5 + 3)
`\overset{T_((2,\, 3))}{\rightarrow}` H'(3, -2)

The coordinates of the vertices of the given figure after the given transformation, T₍₂, ₃₎, are N'(1, 0), U'(3, 5), L'(5, 2), and H'(3, -2).

Therefore, the correct option is N'(1, 0), U'(3, 5), L'(5, 2), H'(3, -2).