Geometric Transformations Flashcard

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define reflection in geometry.

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a point (x, y) over the y-axis?

Back

The result is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a point (x, y) over the x-axis?

Back

The result is (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define rotation in geometry.

Back

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 image of the point (a, b) after a 180-degree rotation around the origin?

Back

The image is (-a, -b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define translation in geometry.

Back

Translation is a transformation that slides a figure from one position to another without changing its shape, size, or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the transformation (x, y) --> (x + 3, y + 2) represent?

Back

It represents a translation right 3 units and up 2 units.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is dilation in geometry?

Back

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

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a point when it is dilated by a scale factor of k?

Back

The new coordinates are (kx, ky).

Tags

CCSS.8.G.A.3