Exit Ticket Sequence of Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry is 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 from one position to another without turning it. It involves moving every point of the figure the same distance in the same direction.

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

What does it mean to rotate a figure?

Back

To rotate a figure means to turn it around a fixed point, known as the center of rotation, by a certain angle in a specific direction.

Front

What is the effect of a 90-degree rotation counterclockwise about the origin?

Back

A 90-degree rotation counterclockwise about the origin transforms each point (x, y) of a figure to the new position (-y, x).

Front

How can you describe a sequence of transformations?

Back

A sequence of transformations is a series of two or more transformations applied to a figure in a specific order.

Front

What is the difference between a reflection and a rotation?

Back

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

Front

What is the purpose of using sequences of transformations in geometry?

Back

Sequences of transformations are used to map one figure onto another, helping to understand the relationships between shapes and their positions.

Front

How do you determine the sequence of transformations needed to map one triangle onto another?

Back

To determine the sequence of transformations, analyze the positions and orientations of the triangles, identifying necessary translations, reflections, or rotations.

Front

What is the significance of the y-axis in transformations?

Back

The y-axis is often used as a line of reflection in transformations, where figures can be flipped to create mirror images.