sequence of transformations

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.

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 shape over a line, creating a mirror image.

Front

Explain what a rotation is in geometric transformations.

Back

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

Front

What does it mean to rotate a figure 90° counter-clockwise about the origin?

Back

It means to turn the figure 90 degrees in the opposite direction of the clock's hands around the origin (0,0).

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate to get (x, -y).

Front

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

Back

The result is (-3, 4).

Front

Describe the sequence of transformations that maps figure A onto figure B if it involves a reflection and a translation.

Back

First, reflect figure A over a specified line, then translate the reflected figure to the desired position.

Front

What is the coordinate of point A' if point A (2, 3) is rotated 180° about the origin?

Back

The coordinate of A' would be (-2, -3).

Front

If a figure is translated 4 units right and then reflected over the x-axis, what is the effect on the figure?

Back

The figure moves 4 units to the right and then flips over the x-axis.