Question

the coordinates of the vertices of a triangle are a (-1, 1), b (-1, -2), and c (2, -1). triangle abc is translated 4 units to the left and 4 units down to create triangle abc as shown in the diagram below. what are the coordinates of the vertices of triangle abc? a = b =

Explanation:

Step1: Recall translation rule

For a translation 4 units left and 4 units down, we subtract 4 from the x - coordinate and 4 from the y - coordinate of each point.

Step2: Find coordinates of A'

For point A(-1, 1), new x - coordinate is $-1 - 4=-5$, new y - coordinate is $1 - 4=-3$. So $A'=(-5,-3)$.

Step3: Find coordinates of B'

For point B(-1,-2), new x - coordinate is $-1 - 4=-5$, new y - coordinate is $-2 - 4=-6$. So $B'=(-5,-6)$.

Step4: Find coordinates of C'

For point C(2,-1), new x - coordinate is $2 - 4=-2$, new y - coordinate is $-1 - 4=-5$. So $C'=(-2,-5)$.

Answer:

$A'=(-5,-3)$
$B'=(-5,-6)$
$C'=(-2,-5)$