Transformations Acc Geo TEST 24-25

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the types of transformations?

Back

The main types of transformations are translations, rotations, reflections, and dilations.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation?

Back

A translation moves every point of a shape the same distance in a given direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you represent a translation mathematically?

Back

A translation can be represented as a vector, such as , where x is the horizontal shift and y is the vertical shift.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of reflection for a reflection across the y-axis?

Back

The line of reflection is the y-axis itself, meaning points on the left of the y-axis will move to the right and vice versa.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a rotation?

Back

A rotation 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 happens to the coordinates of a point (x, y) when it is rotated 90 degrees counterclockwise?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3

Front

How do you calculate the coordinates after a dilation with a scale factor K?

Back

To find the new coordinates, multiply each coordinate of the original point by K.

Tags

CCSS.8.G.A.3