Question

translate segment ab 6 units left and 3 units downs. the coordinate of point a’ is ( select one , select one ) the coordinate of point b’ is ( select one , select one )

Explanation:

Step1: Determine original coordinates of A and B

From the graph, assume each grid is 1 unit. Point A is at (1, 3) (since it's 1 unit right of y - axis and 3 units up of x - axis), point B is at (4, 1) (4 units right of y - axis and 1 unit up of x - axis).

Step2: Translate point A

To translate a point \((x,y)\) \(h\) units left and \(k\) units down, the new coordinates are \((x - h,y - k)\). For point A \((1,3)\), \(h = 6\), \(k=3\). So \(x'=1 - 6=- 5\), \(y'=3 - 3 = 0\). So \(A'\) is \((-5,0)\).

Step3: Translate point B

For point B \((4,1)\), using the translation formula \((x - h,y - k)\) with \(h = 6\), \(k = 3\). \(x'=4-6=-2\), \(y'=1 - 3=-2\). So \(B'\) is \((-2,-2)\).

Answer:

The coordinate of point \(A'\) is \((-5,0)\)
The coordinate of point \(B'\) is \((-2,-2)\)