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 the line of reflection for a reflection across the x-axis?

Back

The line of reflection is the x-axis, where each point (x, y) is transformed to (x, -y).

Front

What is the line of reflection for a reflection across the y-axis?

Back

The line of reflection is the y-axis, where each point (x, y) is transformed to (-x, y).

Front

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

Back

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

Front

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

Back

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

Front

What is the result of reflecting the point (3, 4) across the x-axis?

Back

The result is (3, -4).

Front

What is the result of reflecting the point (-2, 5) across the y-axis?

Back

The result is (2, 5).

Front

What does it mean to translate a figure in geometry?

Back

To translate a figure means to slide it in a straight line from one position to another without changing its shape or orientation.

Front

What is the effect of translating a point (x, y) by (a, b)?

Back

The new point will be (x + a, y + b).

Front

If a triangle is translated 3 units right and 2 units up, what is the new position of the point (1, 1)?

Back

The new position will be (4, 3).