Translations, Reflections, Rotations

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 specified 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 is the effect of translating a point 5 units up and 3 units right?

Back

The new coordinates of the point (x, y) will be (x + 3, y + 5).

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 line of reflection?

Back

The line of reflection is the line over which a figure is reflected, and each point on the figure is equidistant from this line.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation.

Front

How do you determine the angle of rotation?

Back

The angle of rotation is the degree measure of the turn from the original position to the new position of the figure.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

What is the image of the point (2, 3) after a translation of (x, y) → (x + 4, y - 2)?

Back

The image is (6, 1).

Front

If point A (1, 2) is reflected over the y-axis, what are the coordinates of A'?

Back

The coordinates of A' are (-1, 2).