Question

Consider the two triangles.

Triangles L M N and X Y Z are shown. Side L M is blank, side M N is 3, and side N L is 2. Side X Y is 12, side Y Z is 9, and side Z X is blank.To prove that △LMN ~ △XYZ by the SSS similarity theorem using the information provided in the diagram, it would be enough additional information to know that

LM is 3 units and XZ is 5 units.
LM is 4 units and XZ is 6 units.
LM is 5 units and XZ is 3 units.
LM is 6 units and XZ is 4 units.

Answer 1

Answer:

Step-by-step explanation:

to prove Δ LMN SIMILAR ΔXYZ

$\frac{LM}{XY} = \frac{MN}{YZ} = \frac{NL}{ZX}$

=> $\frac{_}{12} = \frac{3}{9} = \frac{2}{_}$

=> $\frac{_}{12} =\frac{1}{3} =\frac{2}{_}$

=>THEREFORE LM= 4 AND XZ = 6