Question

Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of (x, y) → (x + 5, y – 3)?

Answer 1

Answer-

Figure 4 is the image of square LMNP after a translation of (x, y) → (x + 5, y – 3)

Solution-

The co-ordinates of the vertices are,

L = (-3, 1)

M = (-1, 1)

N = (-1, -1)

P = (-3, -1)

A translation of (x, y) → (x + 5, y – 3) means, the point must be shifted 5 units right and then 3 units down.

After the transformation the new co-ordinates will be,

L = (-3+5, 1-3) = (2, -2)

M = (-1+5, 1-3) = (4, -2)

N = (-1+5, -1-3) = (4, -4)

P = (-3+5, -1-3) = (2, -4)

These are the co-ordinates of the figure no. 4

Answer 2

The answer is square 4
Translation (x+5, y-3) is the movement of LMNP five units to the right and three units down