Triangle RST was dilated by a scale factor of . The image, triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units.






What is the length of a leg of the pre-image, triangle RST?

Triangle RST was dilated by a scale factor of . The image, triangle R S T , is an isosceles triangle, with each leg measuring 8 units. What is the length of a l class=

Verified Answer :

Triangle RST was dilated by a scale factor of 1/2

Given: 
triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units. 

Pre-image: 
measure of pre-image scale factor = measure of resulting image

measure of pre-image = measure of resulting image / scale factor

measure of pre-image = 8 / 1/2
measure of pre-image = 8
2/1 

measure of pre-image = 16 units.

The measure of pre-image is 16 units.

Dilation of an image

According to the question, triangle RST was dilated by a scale factor of 1/2

  • Given that triangle, R'S'T', is an isosceles triangle, with each leg measuring 8 units.

For the  pre-image:

  • The measure of resulting image = the measure of pre-image scale factor
  • Measure of pre-image = measure of resulting image / scale factor
  • Measure of pre-image = 8 / 1/2
  • Measure of pre-image = 8 2/1

Hence the measure of pre-image is 16 units.

Learn more on dilation here: https://brainly.com/question/11348620