Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

ΔRST is dilated about the origin, O, to create ΔR'S'T'. Point R is located at (3, 9), and point R' is located at (1.2, 3.6). Which scale factor was used to perform the dilation?

Sagot :

smmwaite
Answer
scale factor=0.4

Explanation
The scale factor for any transformation is the ration of the image distance to the object distance.
That is the ratio of distance from the origin to the image to the distance from the origin to the object.
In the case above, OR’is the image distance and OR is the object distance.
OR’ = √(〖1.2〗^2+〖3.6〗^2 )=√14.4=3.794733192
OR = √(3^2+9^2 )=√90=9.486832981

The scale factor = 3.794733192/9.486832981
=0.4 
JeanaShupp

Answer: 0.4

Step-by-step explanation:

We know that the a scale factor for dilation about the origin, O is the ratio of the coordinates of the image to the coordinates of the pre-image.

Given : ΔRST is dilated about the origin, O, to create ΔR'S'T'. Point R is located at (3, 9), and point R' is located at (1.2, 3.6).

Then , the scale factor for dilation is given by :-

[tex]k=\dfrac{\text{x-coordinate of R'}}{\text{x-coordinate of R}}\\\\=\dfrac{1.2}{3}=0.4[/tex]

Therefore , the  scale factor was used to perform the dilation= 0.4.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.