Question

Triangle ABC was dilated using the rule Do.4. Triangle

A'B'C' is the result of the dilation

what is OB'?
1.5 units
3 units
4.5 units
6 units
​

Answer 1

B on edge

Explanation:

Answer 2

The correct option is B. The length of OB' is 3 units.

Explanation:

The rule of dilation is D₀,₄. It means dilation by scale factor 4 with center of dilation is origin.

`\text{Scale factor}=\frac{\text{Distance between center and any point of the image}}{\text{Distance between center and corresponding point of the Preimage}}`

`\text{Scale factor}=(OB')/(OB)`

`4=(OB')/((3)/(4))`

`4* (3)/(4)=OB'`

`3=OB'`

The length of OB' is 3 units. Therefore the correct option is option is B.