Transformations GEO TEST 24-25

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

Define translation in geometry.

Back

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

Front

What is a reflection in geometry?

Back

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

Front

Explain 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 not its shape, using a scale factor.

Front

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

Back

To reflect a point (x, y) across the y-axis, the new coordinates become (-x, y).

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates become (x, -y).

Front

What are the coordinates of the image if you reflect the point A(-4, 7) in the line y=x?

Back

The coordinates of the image A' after reflection in the line y=x are A'(7, -4).

Front

What is the formula for dilation of a point (x, y) with a scale factor K?

Back

The coordinates after dilation are (K*x, K*y).

Front

How do you find the translation vector from point A(20, 30) to A'(25, 50)?

Back

The translation vector is found by subtracting the coordinates: A' - A = (25-20, 50-30) = (5, 20).