Geo3.4 Reflections,Translations, Rotations and Glide 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 are the coordinates of a point after reflecting it over the x-axis?

Back

If the original coordinates are (x, y), the new coordinates after reflection over the x-axis will be (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 specified direction.

Front

What does the notation T_(a,b) represent?

Back

T_(a,b) represents a translation of a figure by 'a' units horizontally and 'b' units vertically.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the effect of rotating a point 90 degrees counter-clockwise around the origin?

Back

The new coordinates of a point (x, y) after a 90-degree counter-clockwise rotation will be (-y, x).

Front

What is a glide reflection?

Back

A glide reflection is a transformation that combines a translation and a reflection over a line parallel to the direction of the translation.

Front

What is the composition of transformations?

Back

The composition of transformations is when two or more transformations are combined to produce a single transformation.

Front

How do you denote the composition of transformations?

Back

The composition of transformations is denoted using the 'o' symbol, for example, T_(a,b) o R_{y axis}.

Front

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

Back

The new coordinates after reflection over the y-axis will be (-3, 4).