Rotations of figures

Front

What is the definition of a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of a point after a 90-degree rotation counterclockwise around the origin?

Back

If a point has coordinates (x, y), after a 90-degree rotation counterclockwise around the origin, the new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points are expanded or contracted during a dilation.

Tags

CCSS.8.G.A.3

Front

What happens to the size of a figure during a dilation?

Back

During a dilation, the size of the figure changes; it can either be enlarged or reduced, but the shape remains the same.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Tags

CCSS.8.G.A.3

Front

How do you determine the coordinates of a dilated figure?

Back

To determine the coordinates of a dilated figure, multiply each coordinate of the original figure by the scale factor.

Tags

CCSS.8.G.A.3

Front

What is an image in the context of transformations?

Back

An image is the result of a transformation applied to a figure.

Tags

CCSS.HSG.CO.A.2

Front

What is the difference between enlargement and reduction in dilations?

Back

Enlargement increases the size of a figure (scale factor greater than 1), while reduction decreases the size of a figure (scale factor less than 1).

Tags

CCSS.8.G.A.3

Front

What is the effect of a dilation with a scale factor of 1?

Back

A dilation with a scale factor of 1 results in no change to the size or shape of the figure; the image is congruent to the original.

Tags

CCSS.8.G.A.3

Front

What does it mean for dilations to preserve shape?

Back

Dilations preserve the shape of a figure, meaning that the angles and relative proportions of the sides remain unchanged.

Tags

CCSS.8.G.A.3