Question

given: $overline{tu} parallel overline{xw}$
prove: $xw = 8$

(image of a geometric figure with points t, u, v, w, x and segments labeled 14, 7, 4)

statements	reasons
$\angle utv \cong \angle xwv$	alternate angles theorem
$\angle tvu \cong \angle wvx$	vertical angles theorem
$\triangle tvu \sim \triangle wvx$	aa
?	?
$\frac{xw}{14} = \frac{4}{7}$	substitution property of equality
$7(xw) = 56$	cross product
$xw = 8$	division property of equality

which step is missing?

a. statement: $\frac{xw}{ut} = \frac{xv}{uv}$ reason: corresponding sides of similar triangles are proportional.
b. statement: $\frac{xw}{ut} = \frac{uv}{xv}$ reason: corresponding sides of similar triangles are proportional.
c. statement: $\frac{xw}{ut} = \frac{uv}{vw}$ reason: corresponding sides of similar triangles are proportional.
d. statement: $\frac{xw}{ut} = \frac{vw}{xv}$ reason: corresponding sides of similar triangles are proportional.

Explanation:

Answer:

D. Statement: $\frac{XW}{UT} = \frac{VW}{UV}$ Reason: Corresponding sides of similar triangles are proportional.