Question

Rectangle EFGH has coordinates: E(-3, 6) F(3, 6) G(3, -6) H(-3, -6) draw the dialation of EFGH after it has been dialated by a scale factor of 1/3 on your recording sheet. A. G'(1, -3) B. G'(1, -2)C. G'(-1, 2)D. G'(-3, 6)

Answer 1

The transformation is a dilation with a scale factor of 1/3, this means we have to multiply each coordinate with this scale factor to find G'. Let's do it.

`G(3,-6)\rightarrow G^(\prime)(3\cdot(1)/(3),-6\cdot(1)/(3))\rightarrow G^(\prime)(1,-2)`

The dilation of G is G'(1,-2).

We repeat the process for each vertex.

`E(-3,6)\rightarrow E^(\prime)(-3\cdot(1)/(3),6\cdot(1)/(3))\rightarrow E^(\prime)(-1,2)`
`F(3,6)\rightarrow F^(\prime)(3\cdot(1)/(3),6\cdot(1)/(3))\rightarrow F^(\prime)(1,2)`
`H(-3,-6)\rightarrow H^(\prime)(-3\cdot(1)/(3),-6\cdot(1)/(3))\rightarrow H^(\prime)(-1,-2)`

Therefore, the new rectangle has the following vertices: E'(-1,2), F'(1,2), G'(1,-2), and H'(-1,-2).