Geometric Transformations Test Review

Front

What is a translation in geometry?

Back

A translation is a geometric transformation that moves every point of a figure the same distance in a specified direction.

Front

What is the rule for translating a point (x, y) to the right by 2 units and down by 1 unit?

Back

(x + 2, y - 1)

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What are rigid transformations?

Back

Rigid transformations are transformations that do not change the size or shape of a figure, including translations, reflections, and rotations.

Front

What is the effect of reflecting a point over the x-axis?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What is the effect of reflecting a point over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

What is the sequence of transformations for reflecting over the y-axis and then the x-axis?

Back

First reflect over the y-axis, then reflect the resulting figure over the x-axis.

Front

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

Back

Multiply both the x and y coordinates by k: (kx, ky).

Front

What is the scale factor in a dilation?

Back

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

Front

What is the result of a 90-degree rotation of a point (x, y) around the origin?

Back

The new coordinates will be (-y, x).