Question

Deb transformed △RST so that △RST~ΔR'S'T'. Point R is located at (4, 2) and point R' is located at (-12, 6). What series of transformation did Deb use on △RST? Deb reflected △RST over the y-axis and then dilated it by a scale factor of 3. Deb reflected △RST over the x-axis and then dilated it by a scale factor of 3. Deb rotated △RST 90° counterclockwise about the origin and then dilated it by a scale factor of 13. Deb translated △RST left 4 units and up 4 units and then dilated it by a scale factor of 3

Answer 1

Answer: Deb reflected △RST over the y-axis and then dilated it by a scale factor of 3.

Step-by-step explanation:

Given: Deb transformed △RST so that △RST~ΔR'S'T'. Point R is located at (4, 2) and point R' is located at (-12, 6).

Clearly, both coordinates is multiplied by 3 and polarity of x-coordinate changed.

i.e. she reflected △RST over y-axis such that $(x,y)\to(-x,y)$

then she dilated it by using a scale factor of 3 such that $(-x,y)\to (-3x,3y)$

hence, the correct series of transformation:

Deb reflected △RST over the y-axis and then dilated it by a scale factor of 3.