Question

question 1 (multiple choice worth 1 points) (03 01r lc) ab is dilated from the origin to create ab at a (0, 4) and b (4, 6). what scale factor was ab dilated by? 1/2 2 3 4

Explanation:

Step1: Assume original points

Let's assume the original points of $\overline{AB}$ are $A(0, 2)$ and $B(2, 3)$ (by observing the grid - like pattern, assuming a simple case where the original segment is half - the size of the new one visually).

Step2: Calculate scale factor formula

The scale factor $k$ for dilation from the origin for a point $(x,y)$ to $(x',y')$ is given by $k=\frac{x'}{x}=\frac{y'}{y}$ (when $x
eq0$ and $y
eq0$). For point $A$, if $A(0, 2)$ and $A'(0, 4)$, and for point $B$, if $B(2, 3)$ and $B'(4, 6)$. For point $A$, $\frac{y_{A'}}{y_{A}}=\frac{4}{2} = 2$, for point $B$, $\frac{x_{B'}}{x_{B}}=\frac{4}{2}=2$ and $\frac{y_{B'}}{y_{B}}=\frac{6}{3}=2$.

Answer:

B. 2