Reflections and Translations Review

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

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

What is the result of reflecting the point (3, 2) over the y-axis?

Back

The result is (-3, 2).

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate to (x, -y).

Front

What is the result of reflecting the point (3, -6) over the x-axis?

Back

The result is (3, 6).

Front

What does it mean to translate a point in geometry?

Back

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

Front

If a point A is at (2, 5) and is translated by (x, y) --> (x+3, y-2), where will point A' be?

Back

Point A' will be at (5, 3).

Front

What is the effect of translating a point 3 units to the right and 2 units down?

Back

The new coordinates will be (x+3, y-2).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, creating a mirror image.

Front

If a triangle is reflected over the y-axis, what happens to its coordinates?

Back

The x-coordinates of the triangle's vertices change sign, while the y-coordinates remain the same.