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use the diagram to answer the question.

triangle x y z is similar to triangle u v z. line l passes through segment x y and line k passes through segment u v.

allana knows that △xyz∼△uvz and xy∥uv. what segment relationships can allana use to prove that the slope of line l is equal to the slope of line m?

1. allana can show that uzxz=vzyz using the properties of similar triangles. then, uzvz=xzyz by the multiplicative property of equality. so, the slopes are equal by the slope formula.

2. allana can show that uvxy=vzyz using the properties of similar triangles. then, uvvz=xyyz by the multiplicative property of equality. so, the slopes are equal by the slope formula.

3. allana can show that uzxz=uvxy using the properties of similar triangles. then, uzxy=uvxz by the multiplicative property of equality. so, the slopes are equal by the slope formula.