Question

Given: ABCD is a parallelogram.СD(hr)B(4.0)A(0,0)What are the coordinates of point C?O (r, h+f)O (f. f)O (f-r, h)O (f+h, r)

Answer 1

From the figure, a parallelogram, side AB is equal and parallel to side CD.

Since C is located at the same level as D, the y-coordinate of C must be equal to the y-coordinate of D(h, r) which is r

From the description above, the length of AB is equal to the length of CD,

notice that the length of AB is f

Using the distance formula along the x-axis :

$f-0=f$

Then, the length of CD must be equal also to f.

To find the x-coordinate of C, the x-coordinate of D(h, r) must be added by a length f

So this will be :

$\begin{gathered} h+f \\ or \\ f+h \end{gathered}$

Therefore, the coordinates of C is :

$(x,y)\rightarrow(f+h,r)$

The correct answer is Choice D.