Transformations

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

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 the same direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a 90° counterclockwise rotation about the origin?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a 90° clockwise rotation about the origin?

Back

To rotate a point (x, y) 90° clockwise, the new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

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 happens to the coordinates of a point reflected across the x-axis?

Back

The y-coordinate changes sign; if the point is (x, y), the reflected point is (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point reflected across the y-axis?

Back

The x-coordinate changes sign; if the point is (x, y), the reflected point is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a point across the line y = x?

Back

The x and y coordinates are swapped; if the point is (x, y), the reflected point is (y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the formula for translating a point (x, y) by (a, b)?

Back

The new coordinates after translation are (x + a, y + b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5