Transformations on coordinate plane

Front

What is a transformation in the context of a coordinate plane?

Back

A transformation is an operation that moves or changes a figure in some way on the coordinate plane, including translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

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

Front

What is a rotation in geometry?

Back

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

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

Define dilation in geometry.

Back

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

Front

What is the rule for a 180-degree rotation around the origin?

Back

Front

How does a reflection over the y-axis affect the coordinates of a point?

Back

Front

What happens to the coordinates of a point when it is translated by the rule (x, y) -> (x + 3, y - 2)?

Back

The point's x-coordinate increases by 3 and the y-coordinate decreases by 2.

Front

If point A(2, 3) is reflected over the line y = x, what are the new coordinates?

Back

The new coordinates are A'(3, 2).

Front

What is the scale factor in a dilation that enlarges a figure by 2 times?

Back

The scale factor is 2.