Line j and line k are parallel lines that have been translated. the resulting images are show as j' and k'. how can you describe j' and k'? a) skew lines b) parallel lines c) horizontal lines d) intersecting lines

The lines j' and k' are parallel lines.

                Option: B is the correct answer.

We are given Line j ans Line k such that both are parallel to each other.

Now as we know that the translation transformation just change the position of the location but does not changes it shape.

As both the lines were parallel to each other so on translating both of them they just shifted some units to the right but the behavior remains the same.

Also, from the figure attached to the answer we may observe that the two lines are parallel to each other as the distance between the two lines at each point is constant.

            Hence, the correct answer is:

                       Option: B

1. Check the picture at the bottom.

2. ABCD is a right trapezoid so the diagonals have equal length. Lets find diagonal BD.

3. In triangle ABD we are given the length AB=7, AD=5 and m(A)=80°.

4. We use the cosine law:

5. Cosine of 80 can be found with a scientific calculator or in the internet as cos80=0,17

6.

square root of BD=7.88, so the answer is 8 feet.