I forget so can someone help me I'll mark brainliest. I just want to know that, when doing any transformation how do I know what vertex to start with? for example if the question asked "translate triangle ABC, 6 units right on the X axis and 3 units up on the Y axis to create triangle A'B'C'"

How do I know what vertex to begin with because if I started from vertex A I'd get a completely different answer then if I started from vertex C​

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.

the answer is 15% decrease

step-by-step explanation: