Question

Translate the triangle. Then enter the new coordinates. A(-3, 4) A'([?], [?]) B'([ ], [ ] C([],[]) B(0, 1) C(-4,1)

Answer 1

Answer:

The new coordinates are $A'(x,y) = (3, 0)$, $B'(x,y) = (6, -3)$ and $C'(x,y) = (2, -3)$.

Step-by-step explanation:

Vectorially speaking, the translation of a point can be defined by the following expression:

$V'(x,y) = V(x,y) + T(x,y)$ (1)

Where:

$V(x,y)$ - Original point.

$V'(x,y)$ - Translated point.

$T(x,y)$ - Translation vector.

If we know that $A(x,y) = (-3,4)$, $B(x,y) = (0,1)$, $C(x,y) = (-4,1)$ and $T(x,y) = (6, -4)$, then the resulting points are:

$A'(x,y) = (-3, 4) + (6, -4)$

$A'(x,y) = (3, 0)$

$B'(x,y) = (0,1) + (6, -4)$

$B'(x,y) = (6, -3)$

$C'(x,y) = (-4, 1) + (6, -4)$

$C'(x,y) = (2, -3)$

The new coordinates are $A'(x,y) = (3, 0)$, $B'(x,y) = (6, -3)$ and $C'(x,y) = (2, -3)$.