Asked by Anonymous

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?

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.

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.

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.
Answered by oobleck
The triangles are similar, so corresponding sides will be in the same ratio.
Answered by Anonymous
The answer is C because the slopes are equal by the slope formula.
There are no AI answers yet. The ability to request AI answers is coming soon!