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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

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.

Tags

CCSS.8.G.A.3

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}.

Tags

CCSS.8.G.A.3

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5