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.
2 answers
The triangles are similar, so corresponding sides will be in the same ratio.
The answer is C because the slopes are equal by the slope formula.
1 answer