P. 6 Grade 8 Transformations Practice 2024

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common types include translations, rotations, reflections, and dilations.

Front

What is a translation?

Back

A 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 is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is the algebraic notation for a translation 5 units right and 2 units up?

Back

(x, y) --> (x + 5, y + 2)

Front

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

Back

Reflecting a figure over 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 is the result of rotating a figure 90 degrees clockwise around the origin?

Back

The coordinates of each point (x, y) will change to (y, -x) after a 90-degree clockwise rotation.

Front

What is the difference between a rigid motion and a non-rigid motion?

Back

A rigid motion preserves the shape and size of a figure (e.g., translations, rotations, reflections), while a non-rigid motion may change the size or shape (e.g., dilations).

Front

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

Back

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

Front

What is the effect of a reflection over the y-axis on the coordinates (3, 4)?

Back

The reflection over the y-axis changes the coordinates to (-3, 4).