Help please I'm like struggling

Choice 4)  AC is four times longer than DF

Explanation:

Let's say AC is 4 units long. This makes AE half as long because AE is a radius of the larger circle and AC is the diameter of that same larger circle. So we know AE = 2. Segment DE is also a radius of that circle. So AE = DE = 2.

Segment DF is half as long as DE, leading to DF = DE/2 = 2/2 = 1.

We have DF = 1 and AC = 4. This shows AC is four times longer than DF.

Put another way:

AC = 2*(AE)

AC = 2*(DE)

AC = 2*(2*DF)

AC = (2*2)*DF

AC = 4*DF

So AC is four times longer than DF. We can replace DE with 2*DF since the diameter DE is twice as long compared the radius DF (for the smaller circle).

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 to your question a or b but i am pretty sure it is b. i hope this : )

step-by-step explanation: