For the pictured triangles ABC and XYZ, which of the following is equal to the ratio ?

In the triangle above, line segment BC measures 2 and line segment CD measures 8. If the area of triangle ABD is 25, then what is the length of line segment EC?

In the figure above, lines DG, CF, and BE are parallel. If line segment AB = 6, line segment AE = 9, line segment EF = 10, and line segment FG = 11, what is the length of line AD?

In the figure above, line segment AC is parallel to line segment BD. If line segment AC = 15, line segment BD = 10, and line segment CE = 30, what is the length of line segment CD?

In the figure above, triangle ABC is similar to triangle XYZ. If side XZ measures 10, what is the area of triangle XYZ?

Triangle ABC is similar to triangle DEF. If the perimeter of triangle ABC is twice the length of the perimeter of triangle DEF, what is the ratio of the area of triangle ABC to the area of triangle DEF?

In the above figure, line segment AB measures 10, line segment AC measures 8, line segment BD measures 10, and line segment DE measures 12. What is the perimeter of trapezoid BCDE?

In the diagram above, line JX is parallel to line KY. If JX measures 16, KY measures 8, and the area of triangle JXZ is 80, what is the length of line segment XY?

Lines AD and BE intersect at point C as pictured. Which of the following ratios is equal to the ratio of the length of line segment AB to the length of line segment AC?

In the figure above, line segments AD and BE intersect at point C. What is the length of line segment BE?