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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

First blank transitive propertySubtraction property of equalitySegment additionSubstitution property of equalitysecond blank AB does not equal YZ AC does not eq class=

Respuesta :

Given that:

[tex]BC=XY[/tex][tex]AB+BC\ne YZ+XY[/tex]

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

[tex]AB+BC=AC[/tex]

In this case, knowing that:

[tex]AB+BC\ne YZ+XY[/tex]

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

[tex]\begin{gathered} AB+BC=AC \\ YX+XY=XZ \end{gathered}[/tex]

Therefore, you can determine that:

[tex]AC\ne XZ[/tex]

Hence, the answers are:

- First blank: Third option (Segment addition).

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

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