Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce 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 the context of transformations.

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is a reflection in geometry?

Back

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

Front

How do you determine the coordinates of a point after a translation?

Back

To determine the coordinates of a point after a translation, you add the translation values to the original coordinates.

Front

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

Back

Reflecting a point across the x-axis changes the sign of the y-coordinate.

Front

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

Back

Reflecting a point across the y-axis changes the sign of the x-coordinate.

Front

If point A(2, 3) is reflected across the x-axis, what are the coordinates of the image?

Back

The coordinates of the image will be (2, -3).

Front

If point B(-4, 5) is translated 2 units left and 3 units down, what are the coordinates of the translated image?

Back

The coordinates of the translated image will be (-6, 2).

Front

What is the formula for reflecting a point (x, y) across the x-axis?

Back

The formula for reflecting a point (x, y) across the x-axis is (x, -y).