for the parallelogram, find coordinates for p without using new variables.

(a + c, b)

Step-by-step explanation:

First the easy part... the Y-value.

There's an horizontal line where the P is... that line has a point identified (a,b).  So, the Y-value of P is b.

Now the X-value.  

You see that P is a bit right to c, so it's something more than c, but how much?  If you look, P is as right to C as a is to the origin.  Since we know it's a parallelogram, the line that goes from origin to (a,b) is parallel to the one going from C to P.

So the X-value of point P is: c + a

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.