Transformations on the Coordinate Plane TEST REVIEW

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 transformations include translations, rotations, reflections, and dilations.

Front

Define translation in the context of transformations.

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 rotation in geometry?

Back

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

Front

Explain reflection in geometry.

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same. It is defined by a center point and a scale factor.

Front

What does the scale factor in dilation represent?

Back

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

Front

How do you perform a translation of a point (x, y) 2 units left and 3 units up?

Back

The new coordinates after the translation would be (x - 2, y + 3).

Front

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

Back

The result of reflecting (x, y) over the x-axis is (x, -y).

Front

What is the result of rotating a point (x, y) 90° clockwise around the origin?

Back

The result of rotating (x, y) 90° clockwise around the origin is (y, -x).

Front

What is the effect of reflecting a point (x, y) over the y-axis?

Back

The result of reflecting (x, y) over the y-axis is (-x, y).