Math Transformations

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What is a translation?

Back

A translation is a transformation that slides a figure from one position to another without turning it.

Front

What is a rotation?

Back

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

Front

What is a reflection?

Back

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

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if one can be transformed into the other using rotations, reflections, and translations.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but may differ in size, achieved through scaling.

Front

How do you rotate a point 90 degrees clockwise around the origin?

Back

To rotate a point (x, y) 90 degrees clockwise, the new coordinates become (y, -x).

Front

What are the new coordinates of the point (4, 1) after a 90-degree clockwise rotation?

Back

The new coordinates are (1, -4).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is flipped to create a mirror image.

Front

What is the effect of a reflection over the x-axis?

Back

A reflection over the x-axis changes the sign of the y-coordinate of each point.