Transformations - Translation & Reflection

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) 5 units up and 7 units right?

Back

The new coordinates will be (x + 7, y + 5).

Front

What is the algebraic representation of a translation that moves a point 4 units to the right and 9 units down?

Back

(x, y) --> (x + 4, y - 9).

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 (x, y) over the x-axis?

Back

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

Front

What are the new coordinates of the point (3, 5) after reflecting over the y-axis?

Back

The new coordinates will be (-3, 5).

Front

What is the effect of reflecting a point over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

If point P is at (2, -4), what are the coordinates of P after reflecting over the y-axis?

Back

The new coordinates will be (-2, -4).

Front

What does the notation (x, y) --> (x + a, y + b) represent?

Back

It represents a translation of a point (x, y) by 'a' units horizontally and 'b' units vertically.

Front

What is the rule for reflecting a point across the x-axis?

Back

The rule is (x, y) --> (x, -y).