Question

What is the image point of (1,-2)after a translation right 4 units and down 4 units?

Answer 1

By applying the concept of translation, we conclude that the image point of (1, - 2) is equal to the point (5, - 6).

What is the image of a point by rigid translations?

In this problem we have a point set in a Cartesian plane, which has to be translated to determine the coordinates of a resulting point. Translations are examples of rigid transformations, these are, transformations applied on geometric loci such that Euclidean distance is conserved.

Vectorially speaking, translations are modelled by the following formula:

P'(x, y) = P(x, y) + T(x, y)      (1)

Where:

• P(x, y) - Original point
• P'(x, y) - Resulting point
• T(x, y) - Translation vector

If we know that P(x, y) = (1, - 2) and T(x, y) = (4, - 4), then the resulting point is:

P'(x, y) = (1, - 2) + (4, - 4)

P'(x, y) = (5, - 6)

By applying the concept of translation, we conclude that the image point of (1, - 2) is equal to the point (5, - 6).

To learn more on rigid transformations: brainly.com/question/1761538

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