The coordinates of square abcd are a(0, 0) , b(a, 0) , c(blank, a), and d(0,blank ). the slope of ac, when simplified, is equal to blank . the slope of bd, when simplified, is equal to −1 . the product of the slopes is equal to blank . therefore, ac is perpendicular to bd. fill in the blank spots

This is about finding slopes of lines.

The slope of AC, when simplified = 1

The product of the slopes = -1

All sides of a square are equal.

This means that;

If AB = a, then it means;

AB = BC = CD = AD = a

While coordinate of C is; (a, a)

Thus coordinates of each point of the square are;

A(0, 0) , B(a, 0) , C(a, a) and D(0, a)

Thus;

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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.