you don’t have to do number 25

see explanation

Step-by-step explanation:

The directed lines have the form < x, y >

With the usual notation

right in x- direction → +

left in x- direction → -

up in y- direction → +

down in y- direction → -

21

EF = < 4, 1 >

22

FG = < 4, - 2 >

23

GH = < - 4, - 2 >

24

EH = < 4, - 3 >

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

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.