Question

the coordinates of the vertices of a triangle are a (1, -2), b (1, 2), and c (-1, 1). triangle abc is translated 5 units to the right and 5 units up to create triangle abc as shown in the diagram below. what are the coordinates of the vertices of triangle abc? a = b =

Explanation:

Step1: Recall translation rule

For a translation 5 units right and 5 units up, add 5 to the x - coordinate and 5 to the y - coordinate of each point.

Step2: Find coordinates of A'

For point A(1, - 2), new x - coordinate is \(1 + 5=6\), new y - coordinate is \(-2 + 5 = 3\). So \(A'=(6,3)\).

Step3: Find coordinates of B'

For point B(1, 2), new x - coordinate is \(1+5 = 6\), new y - coordinate is \(2 + 5=7\). So \(B'=(6,7)\).

Step4: Find coordinates of C'

For point C(-1, 1), new x - coordinate is \(-1+5 = 4\), new y - coordinate is \(1 + 5 = 6\). So \(C'=(4,6)\).

Answer:

\(A'=(6,3)\), \(B'=(6,7)\), \(C'=(4,6)\)