Geometric Transformations Review 2024

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

Define translation in geometric transformations.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its shape, size, or orientation.

Front

What is the rule for a translation that moves a point 2 units to the right and 1 unit down?

Back

The rule is (x + 2, y - 1).

Front

What is a reflection in geometry?

Back

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

Front

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

Back

A reflection across the y-axis changes the sign of the x-coordinate of each point in the figure.

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

The result is the point (-x, y).

Front

What is the sequence of transformations from one image to another?

Back

The sequence of transformations can include combinations of translations, reflections, rotations, and dilations.

Front

What is a rotation in geometric transformations?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the equivalent of a counterclockwise rotation of 270 degrees?

Back

It is equivalent to a clockwise rotation of 90 degrees.

Front

What is the effect of a translation on the size and shape of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.