Which set of ratios could be used to determine if one triangle is a dilation of the other?
A triangle with side lengths 3.6, 5.4, 6. A triangle with side lengths 3, 4.5, 5.
StartFraction 3.6 Over 3 EndFraction = StartFraction 5.4 Over 4.5 EndFraction = StartFraction 6 Over 5 EndFraction
StartFraction 3.6 Over 3 EndFraction = StartFraction 4.5 Over 5.4 EndFraction = StartFraction 6 Over 5 EndFraction
StartFraction 3 Over 3.6 EndFraction = StartFraction 4.5 Over 6 EndFraction = StartFraction 5 Over 5.4 EndFraction
StartFraction 3 Over 4.5 EndFraction = StartFraction 3.6 Over 5.4 EndFraction = StartFraction 5 Over 6 EndFraction

Respuesta :

Answer:

Option (1).

Step-by-step explanation:

Dimensions of two triangles have been given as 3.6, 5.4, 6 units and 3, 4.5, 5 units.

If triangle one is dilated to form triangle two, then the ratio of the sides will be

Ratio = [tex]\frac{\text{Side of triangle (1)}}{\text{Corresponding side of triangle (2)}}[/tex]

         = [tex]\frac{3.6}{3}[/tex]

Similarly, ratio of other two sides will be = [tex]\frac{5.4}{4.5}[/tex] and [tex]\frac{6}{5}[/tex]

Since the triangle (1) was dilated to form triangle (2), so both triangles will be similar and the ratios of their corresponding sides will be equal.

Therefore, Ratios of the sides = [tex]\frac{3.6}{3}=\frac{5.4}{4.5}=\frac{6}{5}[/tex]

Option (1) will be the answer.