Transformations: Reflections and Translations

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point A(x, y) over the x-axis?

Back

The reflected point A' will be A'(x, -y).

Front

How do you reflect a point A(x, y) over the y-axis?

Back

The reflected point A' will be A'(-x, y).

Front

What is a translation in geometry?

Back

A transformation that moves a figure from one location to another without changing its shape or orientation.

Front

If Point T(2, 3) is translated 4 units up and 2 units to the right, what are the coordinates of T'?

Back

T' will be (4, 5).

Front

What is the algebraic representation of a reflection across the x-axis?

Back

(x, y) → (x, -y).

Front

What is the algebraic representation of a reflection across the y-axis?

Back

(x, y) → (-x, y).

Front

If Point A(-3, 4) is reflected over the x-axis, what are the coordinates of A'?

Back

A' will be (-3, -4).

Front

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

Back

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

Front

If Triangle ABC with vertices A(1, 2), B(3, 4), and C(5, 6) is reflected over the x-axis, what are the new coordinates of A'?

Back

A' will be (1, -2), B' will be (3, -4), C' will be (5, -6).