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, including translations, rotations, reflections, and dilations.

Tags

CCSS.HSG.CO.A.2

Front

Define translation in geometry.

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same. For example, (x, y) becomes (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a 180-degree rotation around the origin?

Back

To rotate a point (x, y) by 180 degrees around the origin, the new coordinates will be (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is 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

If a point (3, 4) is translated 2 units left and 3 units down, what are the new coordinates?

Back

The new coordinates will be (1, 1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (-2, 5) over the x-axis?

Back

The new coordinates will be (-2, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a figure but not its shape, by a scale factor relative to a center point.

Tags

CCSS.8.G.A.3

Front

What is the effect of a translation of (x, y) by (3, -2)?

Back

The new coordinates will be (x + 3, y - 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What type of transformation is a rotation?

Back

A 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