Similarity Transformation Review

Front

What is a similarity transformation?

Back

A similarity transformation is a transformation that alters the size of a figure but preserves its shape. This includes transformations such as dilation, translation, rotation, and reflection.

Front

Define dilation in the context of similarity transformations.

Back

Dilation is a transformation that changes the size of a figure by a scale factor relative to a center point, while maintaining the shape of the figure.

Front

What is the effect of a reflection across the x-axis on a point (x, y)?

Back

The reflection across the x-axis transforms the point (x, y) to (x, -y).

Front

What is the effect of a reflection across the y-axis on a point (x, y)?

Back

The reflection across the y-axis transforms the point (x, y) to (-x, y).

Front

How do you perform a translation of a point (x, y) by (a, b)?

Back

To translate the point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate, resulting in the new point (x+a, y+b).

Front

What is the result of rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

The rotation of a point (x, y) 90 degrees counterclockwise around the origin transforms it to (-y, x).

Front

What is the result of rotating a point (x, y) 180 degrees around the origin?

Back

The rotation of a point (x, y) 180 degrees around the origin transforms it to (-x, -y).

Front

What is the scale factor in a dilation?

Back

The scale factor in a dilation is the ratio of the distance from the center of dilation to a point on the image to the distance from the center of dilation to the corresponding point on the original figure.

Front

If a triangle has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates after a dilation with a scale factor of 3?

Back

The new coordinates after dilation will be A'(3, 6), B'(9, 12), and C'(15, 18).

Front

What is the combined effect of a translation followed by a reflection?

Back

The combined effect of a translation followed by a reflection is that the figure is first moved to a new position and then flipped over a specified line, preserving the shape but changing its orientation.