Translations, Reflections, and Rotations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape or object a fixed distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you represent a translation of (x,y) by 4 units left and 6 units up algebraically?

Back

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point (x, y) over the y-axis?

Back

The reflected point is (-x, y).

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 shape 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 result of rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

The result is (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What type of transformation is described by moving a triangle 3 units to the right and 2 units down?

Back

This is a translation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A(2, 3) is translated to A'(5, 1), what is the translation vector?

Back

The translation vector is (3, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation for a translation 5 units left and 3 units up?

Back

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect the point (2, -4) over the x-axis?

Back

The reflected point is (2, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5