Transformations - Rigid Motions

Front

What is a rigid motion in geometry?

Back

A rigid motion is a transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.

Front

What happens to a point when it is reflected over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

How do you perform a translation on a point in the coordinate plane?

Back

To translate a point, you add the translation vector's x and y components to the point's x and y coordinates, respectively.

Front

What is the result of reflecting the point (3, -4) over the x-axis?

Back

The new point will be (3, 4).

Front

How many lines of symmetry does a shape with one line of symmetry have?

Back

It has one line of symmetry, which divides the shape into two mirror-image halves.

Front

What is the translation vector T(-4, 2) applied to the point (1, 3)?

Back

The new point after translation will be (-3, 5).

Front

What does the notation A' represent in transformations?

Back

A' represents the image of point A after a transformation has been applied.

Front

How do you describe a translation from point (2, 3) to point (5, 7)?

Back

The translation can be described as (x + 3, y + 4).

Front

What is the effect of a translation on the coordinates of a shape?

Back

A translation shifts the entire shape in a specified direction without altering its size or orientation.

Front

What is the definition of symmetry in geometry?

Back

Symmetry in geometry refers to a balance or correspondence between parts of a shape, where one half is a mirror image of the other.