△xyz was reflected over a vertical line, then dilated by a scale factor of , resulting in △x'y'z'. which must be true of the two triangles? check all that apply.

△xyz ~ △x'y'z'
xzy ≅ y'z'x'
yx ≅ y'x'
xz = 2x'z'
myxz = 2my'x'z'

correct option is △XYZ ~ △X'Y'Z'.

Step-by-step explanation:

since ΔXYZ is dilated by some scale factor so, the resulting triangle can not be congruent to the ΔXYZ. so option 2 is wrong.

as we have explained that the two triangles are not congruent then it's sides and angles also can't be congruent so, option 3 is also incorrect.

As we don't know by what factor the triangle XYZ is dilated so we can't say anything about correctness of option 4 and 5.

ΔXYZ  was reflected over a vertical line and then dilated so the resulting ΔX'Y'Z' is similar to ΔXYZ.

i.e., △XYZ ~ △X'Y'Z'.

1 4 5

Step-by-step explanation:

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 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844