16. Determine if A'B'C' is a size transformation image of ABC for A'(5,3), B'(1,5), C'(9,5), A(5

Name: 16. Determine if A'B'C' is a size transformation image of ABC for A'(5,3), B'(1,5), C'(9,5), A(5,0), B(3,1), and C(7,2). If yes, find the center and scale factor. If no, explain why not.
Uploaded: 2023-03-29T01:37:54-08:00
Duration: 4 min 51 s
Channel: Jerelyn Nevil
Description: 16. Determine if A'B'C' is a size transformation image of ABC for A'(5,3), B'(1,5), C'(9,5), A(5,0), B(3,1), and C(7,2). If yes, find the center and scale factor. If no, explain why not.

Step 1: Plot the points A(5,0), B(3,1), and C(7,2) on a coordinate plane.

16. Determine if A'B'C' is a size transformation image of...

16. Determine if \(\triangle A'B'C'\) is a size transformation image of \(\triangle ABC\) for A'(5,3), B'(1,5), C'(9,5), A(5,0), B(3,1), and C(7,2). If yes, find the center and scale factor. If no, explain why not.

Transcript

00:01 Okay, so this problem is impossible to do if i do not have the grid with me.

00:05 So for this, it says, find the image of rectangle abc for the size transformation with the center of o.

00:15 Scale factor is one half.

00:18 So this is what i would do.

00:21 I would treat this as the origin.

00:25 Oops.

00:27 And let me just draw a straight line.

00:29 And so if c is at one two three four then c prime is going to be at right here then d is at four negative two so then that's going to be at two so that's four zero two and then that's at one two one two three four one two so that's at four comma negative two so that would be at 2 comma negative 1.

01:07 So that would be right here, d prime.

01:10 And then b, b prime would be here.

01:15 And then a prime would be right here.

01:20 Oops, nope.

01:23 A prime would be right here.

01:26 So this is what it would look like.

01:30 Then it says, find the image of triangle abc for the size transformation with the center 0 and a scale factor of 3.

01:39 So again, you have to treat this as the origin.

01:46 And so if i have a and a is at negative 2 comma 1, then a prime would be at scale factor of 3.

01:57 So negative 6 comma 3.

01:59 So 1, 2, 3, 4, 5, 6, 1, 2, 3.

02:05 And that would be a prime.