A (-7,-5)

Question

B (-4,3)
C (5,6)
D (2,-2)

Suppose the parallelogram on the coordinate plane was dilated with respect to the origin using a magnitude of 1/2. What would be the coordinates of vertex D'?

(_,_)

Answer 1

To find the coordinates of vertex D' after a dilation with respect to the origin using a magnitude of 1/2, we need to multiply the coordinates of vertex D by the dilation factor.

The coordinates of vertex D are (2, -2).

Applying the dilation:

\[ D' = \left( \frac{1}{2} \cdot 2, \frac{1}{2} \cdot -2 \right) \]

Calculating this gives:

\[ D' = (1, -1) \]

Therefore, the coordinates of vertex D' are (1, -1).

So, the answer is:

(1, -1)