Under a dilation with a scale factor of 4 and the center at the origin, if \( A(3,5) \), what will be the coordinates of the point \( A' \)?

A ′ = ( 3 ⋅ 4 , 5 ⋅ 4 ) A ′ = ( 12 , 20 )

Answered by konrad509 | 2024-06-10

The **coordinates **of the **dilated **point will be A'(12,20).
What is dilation?
Resizing an item uses a **transition **called dilation. Dilation is used to enlarge or contract the items. The result of this **transformation **is an image with the same shape as the original. However, there is a variation in the shape's size.
Given that under a dilation of a scale factor 4 with the center at the origin, and A (3,5).
The dilation can be done as below,
A(3,5) = A' ( 3 x 4, 5 x 4 )
A(3, 5) = A' ( 12, 20 )
Hence, the dilation of the point is A'(12,20).
To know more about dilation follow
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Answered by shubhamchouhanvrVT | 2024-06-17

After a dilation centered at the origin with a scale factor of 4, the coordinates of point A(3, 5) transform to A'(12, 20). This is achieved by multiplying both coordinates by the scale factor. Therefore, A' is located at (12, 20).
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Answered by shubhamchouhanvrVT | 2024-12-26