Reflections and Rotations Flashcard

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x,y) → (x+a, y+b), where (a,b) is the vector indicating the direction and distance of the translation.

Front

What does the translation (x+2, y-9) indicate?

Back

It indicates that every point of the shape is moved 2 units to the right and 9 units down.

Front

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

Back

The x-coordinate changes to its opposite sign, while the y-coordinate remains the same.

Front

What is the rule for reflecting a point (x,y) over the y-axis?

Back

The rule is (x,y) → (-x,y).

Front

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

Back

The x-coordinate remains the same, while the y-coordinate changes to its opposite sign.

Front

What is the rule for reflecting a point (x,y) over the x-axis?

Back

The rule is (x,y) → (x,-y).

Front

If point A(2,3) is translated by (x,y) → (x+3, y-2), what are the new coordinates of point A'?

Back

The new coordinates of point A' are (5,1).

Front

If point B(-1,4) is reflected over the y-axis, what are the new coordinates of point B'?

Back

The new coordinates of point B' are (1,4).

Front

If point C(3,-2) is reflected over the x-axis, what are the new coordinates of point C'?

Back

The new coordinates of point C' are (3,2).