Question

Figure ABC shows the representation of a mountain. If the coordinates of point C are given by (4,2) , find the new coordinates of the point C after dilating ABC with a
$\text{scale factor of}-\frac{3}{2}?$

• A. (-6,-2)
• B. (-4,-6)
• C. (-4,-3)
• D. (-6,-3)

Answer 1

The correct option is D (-6,-3)

$\text{The scale factor =}-\frac{3}{2}$

The coordinates of point C in the figure is (4,2)

$\therefore \text{New coordinates of point C =}$
$\text{Scale factor}\times \text{Given coordinates of C}$

$\text{So, value of x coordinate is}$
$=-\frac{3}{2}\times 4=-6$

$\text{So, value of y coordinate is}$
$=-\frac{3}{2}\times 2=-3$

So, new coordinates of point C = (-6,-3)

After dilation about the centre, the figure will be: