Translations & Reflections on the Coordinate Plane

Front

What is the algebraic representation for reflecting a figure over the x-axis?

Back

(x, y) --> (x, -y)

Front

When reflecting over the y-axis, which coordinate stays the same?

Back

y-coordinate

Front

What transformation is happening when the coordinates change from (x, y) to (x + 2, y - 3)?

Back

slide right 2, down 3

Front

Reflect (6, -3) over the x-axis. What are the new coordinates of that point after the reflection?

Back

(6, 3)

Front

When reflecting over the x-axis, which coordinate stays the same?

Back

x-coordinate

Front

What is the algebraic representation for reflecting a figure over the y-axis?

Back

(x, y) --> (-x, y)

Front

What is the effect of a translation on a figure in the coordinate plane?

Back

A translation moves a figure without changing its shape or orientation.

Front

How do you represent a translation of a figure 3 units left and 4 units up algebraically?

Back

(x, y) --> (x - 3, y + 4)

Front

What is the difference between a reflection and a translation?

Back

A reflection flips a figure over a line, while a translation slides it without changing its orientation.

Front

What are the coordinates of the point (2, 5) after reflecting over the y-axis?

Back

(-2, 5)