Which transformation was performed on PQRS to form P'QʻR'S'? (1 point)
1) A dilation factor of 2
2) A dilation factor of 4
3) A dilation factor of 1/2
4) A dilation factor of 1/4

Which transformation was performed on PQRS to form PQʻRS 1 point 1 A dilation factor of 2 2 A dilation factor of 4 3 A dilation factor of 12 4 A dilation factor class=

Respuesta :

Given:

A transformation was performed on PQRS to form P'QʻR'S'.

To find:

The transformation.

Solution:

The given graph shows two similar polygons. It means, dilation was performed.

From the given graph it is clear that,

[tex]PS=2[/tex] units

[tex]P'S'=1[/tex] units

Now,

[tex]\text{Scale factor}=\dfrac{P'S'}{PS}[/tex]

[tex]\text{Scale factor}=\dfrac{1}{2}[/tex]

A dilation factor of [tex]\dfrac{1}{2}[/tex] was performed on PQRS to form P'QʻR'S'.

Therefore, the correct option is (3).