Question

The triangle below will be translated 2 units up and 5 units to the right.3АA22-4-3045- 1Bс2What will be the coordinates of point A'?O (4,4)O (1,7)O (-3,-3)O (-6,0)

Answer 1

In general, a translation:

• in the x-direction by n units is given by: (x, y) → (x + n, y),

,

• in the y-direction by m units is given by: (x, y) → (x, y + m),

,

• the combination of both translations is: (x, y) → (x + n, y + m).

In this problem, we want to translate a triangle 2 units up and 5 units to the right, so we want to translate the points of the triangle in the following way:

`(x,y)\rightarrow(x+5,y+2)`

From the graph we see that the coordinates of point A are:

`(x_A,y_A)=(-1,2)`

Making the translation we get:

`(x_A+5,y_A+2)=(-1+5,2+2)=(4,4)`

Answer

(4,4)