Mixed Practice: Translations and Reflections

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 Algebraic Rule for a reflection over the y-axis?

Back

The rule is: (x, y) → (-x, y).

Front

What is the Algebraic Rule for a reflection over the x-axis?

Back

The rule is: (x, y) → (x, -y).

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation of 2 units left and 3 units up algebraically?

Back

The rule is: (x, y) → (x - 2, y + 3).

Front

What is the effect of translating a point (x, y) by (x + 3, y - 2)?

Back

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

Front

What is the difference between a reflection and a translation?

Back

A reflection creates a mirror image over a line, while a translation shifts the position of a figure without changing its orientation.

Front

What is the Algebraic Rule for a translation of 5 units right and 4 units down?

Back

The rule is: (x, y) → (x + 5, y - 4).

Front

How do you identify the line of reflection for a point?

Back

The line of reflection is equidistant from the original point and its image.

Front

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

Back

The result is (-3, 4).