NTI: Translation Flashcard

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) -> (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What does the notation (x - 2, y + 5) indicate in a translation?

Back

It indicates that the x-coordinate is decreased by 2 and the y-coordinate is increased by 5.

Front

If point U is at (2, 2), what is the new coordinate after the translation (x, y) -> (x - 2, y + 5)?

Back

The new coordinate would be (0, 7).

Front

What is the effect of a negative value in the x-coordinate during translation?

Back

A negative value in the x-coordinate shifts the point to the left on the Cartesian plane.

Front

What is the effect of a positive value in the y-coordinate during translation?

Back

A positive value in the y-coordinate shifts the point upward on the Cartesian plane.

Front

What is the result of translating the point (3, 4) using the translation (x, y) -> (x - 1, y + 3)?

Back

The result would be (2, 7).

Front

How can you determine the new coordinates of a point after translation?

Back

To determine the new coordinates, apply the translation rule to the original coordinates by adding or subtracting the specified values.

Front

What is the difference between translation and reflection in geometry?

Back

Translation moves a figure without changing its orientation, while reflection flips a figure over a line, creating a mirror image.

Front

What is the significance of the origin (0, 0) in translations?

Back

The origin is the reference point in the Cartesian plane, and translations can be described in relation to it.