Translations and Reflections

Front

What transformation is represented by the coordinates (x, y) --> (x + 2, y - 3)?

Back

Slide right 2, down 3.

Front

Which coordinate is affected by movement left and right when translating a figure on a coordinate plane?

Back

The x-coordinate.

Front

Reflecting over the y-axis changes the ____-_____________.

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 reflection of point Y(-5, -7) over the y-axis?

Back

(5, -7).

Front

What is a translation in geometry?

Back

A transformation that slides a figure in a straight line from one position to another without changing its size or shape.

Front

What is a reflection in geometry?

Back

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

Front

What is the effect of translating a figure 3 units left?

Back

The x-coordinates of all points decrease by 3.

Front

If point A(2, 3) is reflected over the x-axis, what are the new coordinates?

Back

(2, -3).

Front

What happens to the y-coordinate when a point is reflected over the y-axis?

Back

The y-coordinate remains the same.