6-2: Reflections and Translations

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 a translation in geometry?

Back

A translation is a transformation that moves a figure from one position to another without changing its shape, size, or orientation.

Front

How do you translate a point (x, y) 3 units to the left and 9 units down?

Back

Subtract 3 from x and 9 from y: (x-3, y-9).

Front

If point A is at (1, 2), where is A' after translating 3 units left and 9 units down?

Back

A' is at (-2, -7).

Front

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

Back

The y-coordinate changes sign: (x, y) becomes (x, -y).

Front

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

Back

The x-coordinate changes sign: (x, y) becomes (-x, y).

Front

Reflect the point (4, 5) over the x-axis. What are the new coordinates?

Back

The new coordinates are (4, -5).

Front

Reflect the point (-3, 2) over the y-axis. What are the new coordinates?

Back

The new coordinates are (3, 2).

Front

What is the result of reflecting the point (0, 0) over any axis?

Back

The result is still (0, 0) because it is the origin.

Front

If a point is translated 5 units right and 2 units up, how do you express this transformation?

Back

Add 5 to x and 2 to y: (x+5, y+2).