Question

What is a possible scale factor for the dilation of the quadrilateral ABCD?

a) 2
b) 3/2
c) 1/2
d) 3

explain your answer choice.

Answer 1

`\frac {1}{2}`

Explanation:

According to the diagram

if

The center is o

Then Distance from O to B'C'=1

Distance from O to BC=1+1=2

`\therefore\sf Ratio\:is\:1:2.`

More to know:-

Formulas related to surface area and volume:-

`\begin{array}c\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}`