Transformation Geometry

Front

What is transformation geometry?

Back

Transformation geometry is a branch of geometry that studies the properties of figures that remain unchanged under certain transformations such as translation, rotation, reflection, and dilation.

Front

What is a translation in geometry?

Back

A translation is a type of transformation that slides a figure horizontally, vertically, or both without changing its shape or orientation.

Front

What happens to the coordinates of a point during a translation?

Back

The coordinates of a point change according to the direction and distance of the slide, but the shape and size of the figure remain the same.

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.

Front

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

Back

The coordinates change to (x, -y).

Front

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

Back

The coordinates change to (-x, y).

Front

What is rotation in geometry?

Back

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

Front

What is the result of rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

The new coordinates become (-y, x).

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape, by expanding or contracting it from a center point.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.