triangle abc was dilated using the rule $d_{o,4}$. triangle abc is the result of the dilation. what is ob…
triangle abc was dilated using the rule $d_{o,4}$. triangle abc is the result of the dilation. what is ob? 1.5 units 3 units 4.5 units 6 units
Answer
Answer:
6 units
Explanation:
Step1: Recall dilation property
In a dilation with center (O) and scale - factor (k), if a point (B) is dilated to (B'), then (OB'=k\times OB).
Step2: Identify scale - factor and (OB) value
The scale - factor (k = 4) (from the dilation rule (D_{O,4})) and (OB=\frac{3}{2}=1.5) units.
Step3: Calculate (OB')
(OB'=4\times1.5 = 6) units.