Question

select the correct answer from each drop - down menu.
given: (ux = wz), (vw = xy)
prove: (uv = yz)
(there is a number line with points u, v, w, x, y, z in order)

statements	reasons
2. (\begin{split}ux&=uv + vw + wx\wz&=wx + xy + yzend{split})	2. segment addition
3. (uv + vw + wx = wx + xy + yz)	3. addition property of equality
4. (uv + vw = xy + yz)	4. subtraction property of equality
5. (vw = xy)	5. given
6. (uv = yz)	6. subtraction property of equality

where is the first error in this proof?
the reason in line drop - down 1 does not justify the statement because blank 1. instead, the reason should be drop - down 2.

Explanation:

Answer:

3
the substitution property of equality was used to replace $UX$ and $WZ$ with their equivalent expressions
substitution property of equality