Question
upstudy study bank question image url

  1. On the coordinate plane, has vertices of , and . What are the vertex coordinates of the triangle after a dilation centered at the origin with a scale factor of 5 ?



Ask by John Bond. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The vertex coordinates after dilation are .

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

The Deep Dive

To determine the new coordinates of the vertices after a dilation centered at the origin with a scale factor of 5, you simply multiply each coordinate by 5.
For point :
  • .
For point :
  • .
For point :
  • .
Thus, the new vertices are .
So, the answer is:
.

Dilation is a fabulous concept in geometry! It helps scale shapes up or down while preserving their proportions. Think of it as blowing up a balloon; the shape remains the same, just larger or smaller!
Real-world applications of dilation can be seen in photography and computer graphics, where images are resized but need to maintain clarity and proportions. So next time you adjust the size of a photo, remember you might just be performing a dilation!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy