Question

What is the scale factor of the dilation (with center at the origin) shown below?A) 1/2B) -2C.)2D) -1/2

Answer 1

The graph is shown having two triangle with different coordinates.

The one triangle is of larger size and othe triangle is of smaller size.

To determine the scale factor of the dilation we need to find the coordinates of the triangle.

The larger triangle coordinate are,

`A^(\prime)=(-4,-4)\text{ ,B'}=(-2,4)\text{ , C'}=(4,2)`

The smaller triangle coordinates are,

`A=(-2,-2),B=(-1,2),C=(2,1)`

The coordinate A is formed by multiply with

`(1)/(2)`

in A' coordinate.

Similarly other coordinates is also determined by multiply with 1/2 in the corrdinates with B' and C'.

Therefore, the scale factor for dilation obtained is,

`(1)/(2)`

Hence the correct option is A.