What are the new coordinates of the point (11, 22) under the dilation (x, y) → (2x, 2y)?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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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)
- ( ) \((\frac{11}{2}, 11)\)
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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