Translations and Reflections Review for Flashcard

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 coordinates become (x, -y).

Front

What are the coordinates of the image of point B(-2, 4) reflected over the x-axis?

Back

(-2, -4) is the image of point B(-2, 4) reflected over the x-axis.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

How do you describe the translation from Point A(3, -8) to A'(-4, -5)?

Back

The translation can be described as (x-7, y+3).

Front

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

Back

When a point (x, y) is reflected over the y-axis, the new coordinates become (-x, y).

Front

What are the coordinates of point A if B(2, 5) translates to B'(0, 9) and A' is at (-7, 3)?

Back

The coordinates of A are (-5, -1).

Front

What is the effect of reflecting a point over the line y = x?

Back

Reflecting a point (x, y) over the line y = x results in the new coordinates (y, x).

Front

If point (6, -3) is reflected over the y-axis, what are the new coordinates?

Back

The new coordinates are (-6, -3).

Front

What is the formula for translating a point (x, y) by (a, b)?

Back

The formula for translating a point (x, y) by (a, b) is (x+a, y+b).