Question

ABCD represents the base of a building. Find the new coordinates of the point D after dilating ABCD with a scale factor of -1, the dilation being centered at the origin.

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

Answer 1

The correct option is C (-4,-6)

The scale factor = -1
The coordinates of point D in the figure is (4,6)

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

$\text{So, value of x coordinate is}$
$=-1\times 4=-4$

$\text{So, value of y coordinate is}$
$=-1\times 6=-6$

So, new coordinates of point D = (-4,-6)

After dilation about the centre, the figure will be: