Question

Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin.

Answer 1

Answer:

see attached diagram

Step-by-step explanation:

A dilation with a scale factor of $\dfrac{1}{3}$ centered at the origin has a rule:

$(x,y)\mapsto\left(\dfrac{x}{3},\dfrac{y}{3}\right).$

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates

• $D\left(\dfrac{-3}{3},\dfrac{3}{3}\right)\Rightarrow D(-1,1);$
• $E\left(\dfrac{3}{3},\dfrac{9}{3}\right)\Rightarrow E(1,3);$
• $F\left(\dfrac{6}{3},\dfrac{6}{3}\right)\Rightarrow F(2,2).$