Answer:
Option B) YES; 2:1
Step-by-step explanation:
In these triangles ΔRPQ and ΔVAQ we have been given few measurements like
∠RPQ = ∠VAQ = 90°
Length of AV =3, AQ = 4 &
Length of RP =6, PQ = 8
Now we have been asked about the scale factor of these two triangle and similarity between them.
As we know if two sides of a triangle is in the same ratio of the other triangle and angle between these sides is same then triangles are similar.
In other words ratio of sides RP:AV = PQ:AQ
⇒ [tex]\frac{RP}{AV} = \frac{PQ}{AQ}[/tex]
⇒[tex]\frac{6}{3} = \frac{8}{4}[/tex]
⇒ 2:1 =2:1
And angle between them ∠RPQ = ∠VAQ = 90°
Therefore bothe the triangles are following rule of SAS so similar with a scale factor of 2:1.
