Question

HELP PLSSS!!!!

blank 1: 3/ 4/ 5/ 6
blank 2: values were not added to each side/ more than 2 segments were added/ values were subtracted from each side
blank 3: segment addition/ the substitution property of equality/ given

Answer 1

Here's the solution:

1. UV = WZ given

2. VW + WX segment addition

3. UV + VW - WX = XY + YZ addition and subtraction property of equality

4. UV + VW + XY + YZ segment addition

5. VW + XY

6. UV - YZ subtraction property of equality

That is how it works:

* For the first blank (1) the answer is 3, 4 or 5 because one of those options was used to go from step 1 to step 3 (addition and subtraction property of equality)

* For the second empty spot (2), the answer is "more than 2 segments were added", because more than 2 segments were added in step 4 (VW,XY and YZ)

* For the third empty spot (3) the answer is "segment addition" because step 2 was obtained by adding a segment (VW+WX)

* The rest of the solution follows from the steps above