Question

write the coordinates of the vertices after a translation 10 units right and 6 units up.

Explanation:

Step1: Identify original coordinates

Assume \(B(-5,-2)\), \(C(-5,1)\), \(D(-4,4)\). For a translation \(10\) units right and \(6\) units up, the rule for translation is \((x,y)\to(x + 10,y+6)\).

Step2: Translate point B

For \(B(-5,-2)\), \(x=-5\), \(y = - 2\). New \(x=-5 + 10=5\), new \(y=-2 + 6 = 4\). So new - \(B(5,4)\).

Step3: Translate point C

For \(C(-5,1)\), \(x=-5\), \(y = 1\). New \(x=-5 + 10=5\), new \(y=1 + 6 = 7\). So new - \(C(5,7)\).

Step4: Translate point D

For \(D(-4,4)\), \(x=-4\), \(y = 4\). New \(x=-4 + 10=6\), new \(y=4 + 6 = 10\). So new - \(D(6,10)\).

Answer:

The new coordinates of \(B\) are \((5,4)\), of \(C\) are \((5,7)\), and of \(D\) are \((6,10)\)