Arrange the pairs of points in increasing order of slopes of the lines joining them

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

Step-by-step explanation:

Formula for slope of a line is

a) (15,30) and (20,40).

Similarly find the slope of other lines.

b) (12,32) and (18,48).

c) (27,12) and (72,32).

d) (45,15) and (60,20).

e) (27,2) and (243,18).

f) (18,63) and (24,84).

g) (63,9) and (84,12).

After arranging the slopes in increasing order, we get

So, required arrangement of ordered pairs is

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..

-14 is the answer

hope this : ))