Translation and Reflection

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 line of reflection for a point reflected over the y-axis?

Back

The line of reflection is the y-axis itself.

Front

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

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Front

What is the result of reflecting the point (3, 4) over the y-axis?

Back

The result is (-3, 4).

Front

What does it mean to translate a point in geometry?

Back

To translate a point means to move it a certain distance in a specified direction without changing its orientation.

Front

If point A is at (2, 3), where will it be after translating 3 units to the right and 2 units up?

Back

Point A' will be at (5, 5).

Front

What is the formula for reflecting a point (x, y) over the line y = k?

Back

The new point will be (x, 2k - y).

Front

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

Back

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

Front

If a point (a, b) is reflected over the line x = 1, what is the new point?

Back

The new point will be (2 - a, b).

Front

What is the effect of reflecting a point over the origin?

Back

The coordinates of the point (x, y) become (-x, -y).