Question

Which of the following step should be used to translate shape ABCD to shape $A^{\prime }{B}^{\prime }{C}^{\prime }{D}^{\prime }$ on the coordinate plane.

• A. shift $3$ units to right and $1$ unit up
• B. shift $3$ units to right and $1$ unit down
• C. shift $3$ units to left and $1$ unit down
• D. shift $3$ units to left and $1$ unit up

Answer 1

The correct option is B shift $3$ units to right and $1$ unit down

$A,B,C\&D$ are the vertices of shape $ABCD$.
Coordinates of vertex $A\to (-2,3)$ and coordinates of vertex A after translation to $A^{\prime }\Rightarrow (1,2)$
$\Rightarrow x^{\prime }-x=1-(-2)=1+2=3\text{units right}$
$\Rightarrow y^{\prime }-y=2-3=-1=1\text{unit down}$

We need to shift the shape ABCD $3$ units to right and $1$ unit down.