2024 8th Grade Final Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

A 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

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

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

Define dilation in geometry.

Back

A dilation is a transformation that changes the size of a figure but not its shape. It is defined by a scale factor that determines how much the figure is enlarged or reduced.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Front

How do you find the scale factor of a dilation from figure A to figure B?

Back

To find the scale factor, divide the length of a side in figure B by the corresponding length of the same side in figure A.

Front

What is the result of reflecting a figure across the x-axis?

Back

When a figure is reflected across the x-axis, the y-coordinates of its points change sign, while the x-coordinates remain the same.

Front

What happens when you rotate a figure 90 degrees clockwise around the origin?

Back

When a figure is rotated 90 degrees clockwise around the origin, the coordinates of each point (x, y) change to (y, -x).

Front

Solve the equation: 4(w + 3) = 2(5w + 6). What is w?

Back

w = 0.