Triangle xyz was dated by a scale factor of 2 to create triangle acb and tan 2x = 5/2.5
part a: use complete sentences to explain the special relationship between the trigonometric ratio of triangles xyz and abc you must show all work and calculations to receive full credits poules)
part b: explain how to find the measures of segments ac and cb you must show all work and calculations to receive full credit. (5 points)

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.

answer: apothems is your answer

step-by-step explanation: hope u get it right

you first to choose the points and then move from then as the slope you have