Transformation

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure from one position to another without turning it. The shape and size remain the same.

Front

What is a dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape. It is defined by a center point and a scale factor.

Front

How do you perform a reflection across the y-axis?

Back

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

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

What are the coordinates of a point after a dilation with a scale factor of 2?

Back

If the original point is (x, y), after dilation with a scale factor of 2, the new coordinates will be (2x, 2y).

Front

How do you rotate a point 90° counterclockwise about the origin?

Back

To rotate a point (x, y) 90° counterclockwise about the origin, the new coordinates become (-y, x).

Front

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, the new coordinates become (x, -y).

Front

What is the result of reflecting the point S(3, 7) across the y-axis?

Back

The reflection of the point S(3, 7) across the y-axis is S'(-3, 7).

Front

If a triangle has vertices A(0,0), B(8,0), C(3,-2), what are the coordinates after a dilation with a scale factor of 4?

Back

After dilation with a scale factor of 4, the coordinates are A(0,0), B(32,0), C(12,-8).