Question

First blank transitive propertySubtraction property of equalitySegment additionSubstitution property of equalitysecond blank AB does not equal YZ AC does not equal XZ AB equals YZ AC equals XZ

Answer 1

Given that:

`BC=XY`
`AB+BC\\e YZ+XY`

According to the Segment Addition if B lies between A and C, then:

`AB+BC=AC`

In this case, knowing that:

`AB+BC\\e YZ+XY`

And knowing that B lies between A and C, and Y lies between X and Z:

`\begin{gathered} AB+BC=AC \\ YX+XY=XZ \end{gathered}`

Therefore, you can determine that:

`AC\\e XZ`

Hence, the answers are:

- First blank: Third option (Segment addition).

- Second blank: Second option (AC does not equal XZ).