Similarity Transformation Review

Front

What is a similarity transformation?

Back

A similarity transformation is a geometric transformation that alters the size and position of a figure but preserves its shape. This includes translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

Translation is a type of transformation that moves every point of a figure the same distance in a specified direction.

Front

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

Back

Reflecting a figure across the x-axis means flipping it over the x-axis, changing the sign of the y-coordinates of each point.

Front

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

Back

A 90-degree rotation about the origin transforms the coordinates of a point (x, y) to (-y, x).

Front

How do you perform a dilation in geometry?

Back

A dilation is performed by multiplying the coordinates of each point in a figure by a scale factor, which enlarges or reduces the figure.

Front

What is the coordinate transformation for a reflection across the y-axis?

Back

Reflecting across the y-axis changes the sign of the x-coordinates of each point, transforming (x, y) to (-x, y).

Front

Back

Front

What is the result of translating a point (3, 5) by (x-2, y+5)?

Back

The new coordinates after translation would be (3-2, 5+5) = (1, 10).

Front

How do you find the image of a point after a transformation?

Back

To find the image of a point after a transformation, apply the transformation rules to the original coordinates of the point.

Front

What is the coordinate of a point (1, 2) after a 180-degree rotation about the origin?

Back

After a 180-degree rotation, the coordinates change from (1, 2) to (-1, -2).