Identifying Transformations in Practical Problems

Front

What is a transformation in geometry?

Back

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

Front

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What does a 90° clockwise rotation do to a figure?

Back

A 90° clockwise rotation turns a figure 90 degrees in the direction of the clock hands, changing its position but not its shape or size.

Front

What is reflection in geometry?

Back

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

Front

How do you identify a translation transformation?

Back

A translation transformation can be identified by the consistent addition or subtraction of values to the x and y coordinates of all points in the figure.

Front

What is the effect of a 180° rotation on a figure?

Back

A 180° rotation turns a figure upside down, effectively reversing its position while maintaining its shape and size.

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 mirrored over the x-axis, changing the sign of the y-coordinate.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the direction of clock hands, while counterclockwise rotation moves in the opposite direction.

Front

How can you determine if a transformation is a rotation?

Back

A transformation is a rotation if the figure is turned around a fixed point (the center of rotation) by a certain angle.

Front

What is a dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, either enlarging or reducing it.