Question

the vertices of ABC and the endpoints of DE have coordinates that are integers. Determine the coordinates of point F so That ABC≈DEFOPTIONS:(-7, 1)(-5, 3)(-7, -8)(-2, -8)

Answer 1

Rotated figures

We want figure EDF≈ABC.

We can see that if we rotate figure ABC we will obtain the following:

If we rotate it we can see that the segment AB is exactly as the segment ED.

We can now find the answer if we look how far is the point C, we see it is three unities up from B and 5 unities to its left. Then F must be 3 unities up from E and 5 unities to its left.

Since E is located :

at y = -2 if we go up 3 unities

-2 + 3 = 1

at x = -2 if we go at its left 5 unities then

-2 - 5 = -7

Then, F must be at x = -7 and y = 1.

Answer: (-7, 1)