Question

translate triangle abc by 3 units to the left and 5 units down. which of the following are the coordinates of new triangle abc? (1 point) a (1,10), b(-1,6), c(4,7) a(7,0), b(5, - 4), c(10, - 2) a(-1,2), b(-3, - 2), c(2,0) a(1,0), b(-1,-4), c(4,-2)

Explanation:

Step1: Determine original coordinates

From the graph, $A(4,5)$, $B(2,1)$, $C(7,3)$.

Step2: Apply left - translation rule

To translate 3 units to the left, subtract 3 from the $x$ - coordinate of each point. So $A$ becomes $(4 - 3,5)=(1,5)$, $B$ becomes $(2 - 3,1)=(-1,1)$, $C$ becomes $(7 - 3,3)=(4,3)$.

Step3: Apply down - translation rule

To translate 5 units down, subtract 5 from the $y$ - coordinate of each point. So $A'$ is $(1,5 - 5)=(1,0)$, $B'$ is $(-1,1 - 5)=(-1,-4)$, $C'$ is $(4,3 - 5)=(4,-2)$.

Answer:

D. $A'(1,0), B'(-1,-4), C'(4,-2)$