Question

a. triangle abc with coordinates a(3, 4), b(7, 7), and c(8, 1) is translated 6 units left and 7 units down.

Explanation:

Step1: Calculate new x - coordinate of A

For point A(3, 4), moving 6 units left means subtracting 6 from the x - coordinate. So, $3−6=-3$.

Step2: Calculate new y - coordinate of A

Moving 7 units down means subtracting 7 from the y - coordinate. So, $4 - 7=-3$. So A' is (-3,-3).

Step3: Calculate new x - coordinate of B

For point B(7, 7), moving 6 units left gives $7−6 = 1$.

Step4: Calculate new y - coordinate of B

Moving 7 units down gives $7 - 7=0$. So B' is (1,0).

Step5: Calculate new x - coordinate of C

For point C(8, 1), moving 6 units left gives $8−6 = 2$.

Step6: Calculate new y - coordinate of C

Moving 7 units down gives $1 - 7=-6$. So C' is (2,-6).

Answer:

A'(-3,-3), B'(1,0), C'(2,-6)