Weekly Flashcardizz #8: Translations and Reflections

Front

What is a translation in geometry?

Back

A translation 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' is the horizontal shift and 'b' is the vertical shift.

Front

What happens to the coordinates of a point when it is translated 3 units to the right and 2 units down?

Back

The new coordinates will be (x + 3, y - 2).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new coordinates will be (-x, y).

Front

What does the transformation (x, y) -> (x, y + 4) indicate?

Back

This transformation indicates a translation 4 units up.

Front

If a point is reflected across the y-axis and then translated down 3 units, how do you find the new coordinates?

Back

First, reflect the point across the y-axis, then subtract 3 from the y-coordinate.

Front

What are the coordinates of point T if rectangle T’E’X’S’ is the image after a translation of 3 units right and 2 units down?

Back

The coordinates of point T are (-7, 6).

Front

How do you describe a translation of 5 units left and 3 units up mathematically?

Back

This can be described as (x, y) -> (x - 5, y + 3).

Front

What is the result of reflecting the point (2, 3) across the y-axis?

Back

The result is the point (-2, 3).