Jayda's house is located at (1, 5). She can walk in a straight line to get to Cristian's house. A fast-food restaurant is located at (7, 2) and partitions the way from Jayda's house to Cristian's house by a ratio of 3:1. Find the coordinate of Cristian's house. A- (3,4)
B- (5,3)
C- (9,1)
D- (11,0)

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17

a

step-by-step explanation: