Geometric Transformations

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.

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, using a scale factor.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to get (-x, y).

Front

How do you rotate a point 90 degrees counterclockwise around the origin?

Back

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

Front

What is the result of translating the point (3, 4) 5 units left and 2 units up?

Back

The new point will be (-2, 6).

Front

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

Back

The new point will be (5, 2).

Front

What is the difference between rotation and reflection?

Back

Rotation turns a shape around a point, while reflection flips a shape over a line.