CW: 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

How do you reflect a point 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 (4, -5) over the x-axis?

Back

The result is (4, 5).

Front

What is a translation in geometry?

Back

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

Front

How do you write the rule for translating a point 5 units left and 3 units up?

Back

The rule is (x, y) --> (x - 5, y + 3).

Front

What is the result of translating the point (2, 3) 4 units right and 2 units down?

Back

The result is (6, 1).

Front

What is the difference between reflection and translation?

Back

Reflection creates a mirror image, while translation slides the figure without changing its orientation.

Front

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

Back

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

Front

If a point is translated according to the rule (x, y) --> (x + 3, y - 2), what is the new position of the point (1, 1)?

Back

The new position is (4, -1).

Front

What is the effect of reflecting a point in the first quadrant over the x-axis?

Back

The point will move to the fourth quadrant.