Transformations - Translations & Reflections

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 algebraically?

Back

A translation can be represented as (x, y) --> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What happens to the coordinates of a point (x, y) when it is translated 3 units left and 2 units up?

Back

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

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 y-axis?

Back

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

Front

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

Back

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

Front

If point A(4, 5) is reflected over the y-axis, what are the new coordinates?

Back

The new coordinates will be (-4, 5).

Front

What is the algebraic notation for a translation 5 units right and 3 units down?

Back

(x, y) --> (x + 5, y - 3).

Front

If triangle ABC has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates after a translation of 2 units left and 1 unit up?

Back

A'(-1, 3), B'(1, 5), C'(3, 7).

Front

What is the result of reflecting the point (2, -3) over the x-axis?

Back

The new coordinates will be (2, 3).