You can transform G to G' by translating it and then preforming a dilation centered at G'. Find the translation rule and the scale factor of the dilation.

Question

You can transform G to G&#039; by translating it and then preforming a dilation centered at G&#039;. Find the translation rule and the scale factor of the dilation.

Ian Adams · Accepted Answer

Step 1&amp;nbsp;Identify the translation.To do this we find the center of&amp;nbsp;⊙T&amp;nbsp;and the center of&amp;nbsp;⊙T&#039;&amp;nbsp;and find the difference between their&amp;nbsp;x&amp;nbsp;and&amp;nbsp;y&amp;nbsp;values.The center of&amp;nbsp;⊙T&amp;nbsp;is at&amp;nbsp;(-7,&amp;nbsp;-5)The center of&amp;nbsp;⊙T&#039;&amp;nbsp;is at&amp;nbsp;(3,&amp;nbsp;4)we now find the difference between the&amp;nbsp;x&amp;nbsp;and&amp;nbsp;y&amp;nbsp;values. ( note that you must subtract the&amp;nbsp;x&amp;nbsp;and&amp;nbsp;y&amp;nbsp;values from the preimage from the translated image to get the correct translation. )For the x values:&amp;nbsp;3-(-7)=10For the y values: &amp;nbsp;4-(-5)=9So translation was&amp;nbsp;(x,y)↦&amp;nbsp;(&amp;nbsp;x+1&amp;nbsp;0),&amp;nbsp;(y+9&amp;nbsp;)&amp;nbsp;Step 2&amp;nbsp;Find the scale factorWe can identify the scale factor by dividing the radius of the preimage by the radius of the dilated image.The radius can be identified by finding the distance between the center and any point on the circleThe radius of the preimage is&amp;nbsp;2The radius of the dilated image is&amp;nbsp;6So scale factor&amp;nbsp;=&amp;nbsp;6/2&amp;nbsp;or&amp;nbsp;3

Answered question

Answer & Explanation

New Questions in High school geometry