Transformations flashcard 8th grade

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

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

Front

What does it mean to reflect a shape across the x-axis?

Back

Reflecting a shape across the x-axis means flipping it over the x-axis, changing the sign of the y-coordinates of the points.

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Front

How do you perform a 180° rotation about the origin?

Back

A 180° rotation about the origin changes the coordinates (x, y) to (-x, -y).

Front

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

Back

The new coordinates after reflecting across the y-axis are (-a, b).

Front

Explain what a dilation is in geometry.

Back

Dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a shape is enlarged or reduced during a dilation.

Front

How do you translate a shape 4 units to the right and 3 units up?

Back

To translate a shape 4 units to the right and 3 units up, add 4 to the x-coordinate and 3 to the y-coordinate of each point.