Geometric Transformations Review

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, including 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

How do you translate a point (x, y) by (a, b)?

Back

To translate a point (x, y) by (a, b), add a to the x-coordinate and b to the y-coordinate: (x + a, y + b).

Front

What is reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) over the y-axis?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape, defined by a scale factor.

Front

How do you dilate a point (x, y) by a scale factor k?

Back

To dilate a point (x, y) by a scale factor k, multiply both coordinates by k: (kx, ky).

Front

What is the scale factor in dilation?

Back

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

Front

Back

The new coordinates are (4, 5).

Front

What is the effect of a scale factor greater than 1 in dilation?

Back

A scale factor greater than 1 enlarges the figure.