Chapter 4 Review Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create 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 in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

Explain dilation in geometry.

Back

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

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

How do you find the component form of a vector?

Back

The component form of a vector is found by subtracting the coordinates of the initial point from the coordinates of the terminal point.

Front

What happens to the distance between two parallel lines when a figure is reflected over both lines?

Back

The distance between the pre-image and the final image will be twice the distance between the two parallel lines.

Front

What is the effect of dilating a triangle by a factor of 3?

Back

Dilation by a factor of 3 multiplies the coordinates of each vertex of the triangle by 3, enlarging the triangle.

Front

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

Back

To reflect a point (x, y) over the x-axis, you change the sign of the y-coordinate, resulting in the point (x, -y).

Front

What are the coordinates of a point after a dilation of k = 1/2?

Back

To find the coordinates after a dilation of k = 1/2, multiply each coordinate of the point by 1/2.