WEEK 18: Rigid Transformations(Describe)-DAY 1 -HU

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. The three types of rigid transformations are translation, rotation, and reflection.

Front

Define translation in the context of rigid transformations.

Back

Translation is a rigid transformation that slides a figure from one position to another without turning it. All points of the figure move the same distance in the same direction.

Front

What is rotation in rigid transformations?

Back

Rotation is a rigid transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle in a specific direction.

Front

Explain reflection in rigid transformations.

Back

Reflection is a rigid transformation that flips a figure over a line, known as the line of reflection, creating a mirror image of the original figure.

Front

What does it mean to reflect a figure across the x-axis?

Back

Reflecting a figure across the x-axis means that each point of the figure is mapped to a point directly opposite it on the other side of the x-axis.

Front

What does it mean to rotate a figure 90 degrees clockwise around the origin?

Back

Rotating a figure 90 degrees clockwise around the origin means that each point of the figure moves in a circular path around the origin, ending up in a position that is 90 degrees to the right of its original position.

Front

What is the result of translating a figure up?

Back

Translating a figure up means that every point of the figure moves vertically in the positive y-direction by a specified distance.

Front

How do you identify a sequence of transformations?

Back

To identify a sequence of transformations, observe the changes in position, orientation, and size of the figure, and determine the order in which the transformations were applied.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line, creating a mirror image.

Front

What is the effect of performing two reflections in the coordinate plane?

Back

Performing two reflections in the coordinate plane can result in a rotation if the reflections are over two intersecting lines, or a translation if the reflections are over two parallel lines.