Answer:
Scale factor of ΔXYZ to ΔUVW will be 1/5
Step-by-step explanation:
Since all the angles of ΔXYZ and ΔUVW are equal, both the triangles will be similar.
ΔXYZ ~ ΔUVW
Since both the triangles are similar, ratio of the corresponding sides will be in the same ratio.
[tex]\frac{UV}{XY}=\frac{VW}{YZ}=\frac{UW}{XZ}[/tex]
And the scale factor = [tex]\frac{\text{Side of UVW}}{\text{Side of XYZ}}[/tex]
= [tex]\frac{UV}{XY}[/tex]
= [tex]\frac{12}{60}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, scale factor of ΔXYZ to ΔUVW will be 1/5
