Question

What are possible coordinates of point F if ΔDEF is congruent to ΔABC?

Answer 1

The answer would be (-1,0) because you just flip the shape and you need to find which point F is equivalent to, which is C. So once it’s flipped, you count 7 squares to the left from D.

Answer 2

A.
`(-1,4)`

Explanation:

We have been given that ΔDEF is congruent to ΔABC. We are asked to find the possible coordinates of point F.

Since ΔDEF is congruent to ΔABC, so the point F will be in the line of point E and will be 7 units away from point E. Point F can be either in right or left direction.

We can see that coordinates of E are
`(6,4)`, so the y-coordinate of point F will be same as point E. But x-coordinate will be different.

The x-coordinate of the point F could be either
`6+7=13` or
`6-7=-1`.

So there are two possible coordinates for point F; that are
`(13,4)` and
`(-1,4)`.

Upon looking at our given choices we can see that option A is the correct choice.