Question

triangle abc is translated 4 units to the right and 3 units down. what are the coordinates of the new triangle? (-2,3),(3,1),(-2,1) (-2,0),(3,-2),(-2,-2) (0,-2),(-2,3),(2,-2) (-6,0),(-6,-2),(-1,-2)

Explanation:

Step1: Identify the translation rule

For a translation 4 units to the right and 3 units down, the rule for a point $(x,y)$ is $(x + 4,y-3)$.

Step2: Find coordinates of point A

Assume point A has coordinates $( - 2,3)$. Using the rule, the new x - coordinate is $-2 + 4=2$ and the new y - coordinate is $3-3 = 0$.

Step3: Find coordinates of point B

Assume point B has coordinates $(0,1)$. Using the rule, the new x - coordinate is $0 + 4=4$ and the new y - coordinate is $1-3=-2$.

Step4: Find coordinates of point C

Assume point C has coordinates $(-2,1)$. Using the rule, the new x - coordinate is $-2 + 4 = 2$ and the new y - coordinate is $1-3=-2$.

Answer:

None of the given options are correct. If we assume the original points of the triangle are A(-2,3), B(0,1), C(-2,1), the new points after translation are A(2,0), B(4, - 2), C(2,-2)