Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
What are the new coordinates of the point (11,22) under the dilation (x,y) -> (2x,2y)?
![**Question:**
What are the new coordinates of the point (11, 22) under the dilation (x, y) → (2x, 2y)?
**Options:**
- ( ) (44, 22)
- ( ) (22, 44)
- ( ) (55, 66)
- ( ) \((\frac{11}{2}, 11)\)
**Explanation:**
To dilate a point (x, y) by a factor of 2, each coordinate is multiplied by 2. Therefore, the point (11, 22) under the dilation (x, y) → (2x, 2y) becomes:
- x-coordinate: 2 * 11 = 22
- y-coordinate: 2 * 22 = 44
Hence, the new coordinates are (22, 44). The correct answer is the second option:
- ( ) (44, 22)
- (X) (22, 44)
- ( ) (55, 66)
- ( ) \((\frac{11}{2}, 11)\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d0c88f8-9b0e-4a87-ae6c-39dd67e2599b%2F2d54a01b-4cf6-4151-9acc-db32bead613e%2Fa36gymk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
What are the new coordinates of the point (11, 22) under the dilation (x, y) → (2x, 2y)?
**Options:**
- ( ) (44, 22)
- ( ) (22, 44)
- ( ) (55, 66)
- ( ) \((\frac{11}{2}, 11)\)
**Explanation:**
To dilate a point (x, y) by a factor of 2, each coordinate is multiplied by 2. Therefore, the point (11, 22) under the dilation (x, y) → (2x, 2y) becomes:
- x-coordinate: 2 * 11 = 22
- y-coordinate: 2 * 22 = 44
Hence, the new coordinates are (22, 44). The correct answer is the second option:
- ( ) (44, 22)
- (X) (22, 44)
- ( ) (55, 66)
- ( ) \((\frac{11}{2}, 11)\)
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