Transformations - Translations & Reflections

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation of (x, y) 7 units left and 6 units up algebraically?

Back

(x - 7, y + 6)

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

What is the algebraic representation for reflecting a point (x, y) over the x-axis?

Back

(x, -y)

Front

What is the algebraic representation for reflecting a point (x, y) over the y-axis?

Back

(-x, y)

Front

If Point C (2, 3) is reflected over the y-axis, what are the coordinates of the new point?

Back

(-2, 3)

Front

If Point D (4, -5) is reflected over the x-axis, what are the coordinates of the new point?

Back

(4, 5)

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The x-coordinate remains the same, and the y-coordinate changes sign.

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The y-coordinate remains the same, and the x-coordinate changes sign.

Front

If a point is translated 3 units to the left and 9 units down, what is the algebraic representation?

Back

(x - 3, y - 9)