Question

a figure is shown.
the figure is to be translated down 3 units to create quadrilateral ( a ^ { prime } b ^ { prime } c ^ { prime } d ^ { prime } ).
what are the coordinates of point ( c ^ { prime } ) ?
( x - ) coordinate:
( y - ) coordinate:

Explanation:

Step1: Find the original coordinates of point C

From the graph, the coordinates of point C are \((-1,5)\).

Step2: Apply the translation rule

When translating a point down \(n\) units, the \(x -\)coordinate remains the same and the \(y -\)coordinate is decreased by \(n\). Here \(n = 3\).
For the \(x -\)coordinate: \(x=-1\) (no change as translation is vertical)
For the \(y -\)coordinate: \(y=5 - 3=2\)

Answer:

\(x-\)coordinate: \(-1\)
\(y-\)coordinate: \(2\)