Question

1 translate triangle abc 5 units left and 2 units down. then answer a - c.

Explanation:

Step1: Identify original coordinates

Assume $A(1,4)$, $B(5,7)$, $C(6,3)$.

Step2: Apply left - translation rule

For a left - translation of 5 units, subtract 5 from the x - coordinate.
$A_x'=1 - 5=-4$, $B_x'=5 - 5 = 0$, $C_x'=6 - 5=1$.

Step3: Apply down - translation rule

For a down - translation of 2 units, subtract 2 from the y - coordinate.
$A_y'=4 - 2 = 2$, $B_y'=7 - 2=5$, $C_y'=3 - 2 = 1$.

Step4: Get new coordinates

The new coordinates are $A'(-4,2)$, $B'(0,5)$, $C'(1,1)$.

Answer:

The new coordinates of $A$, $B$, and $C$ are $A'(-4,2)$, $B'(0,5)$, $C'(1,1)$ respectively.