Topic 3&4 q. 21

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

What is a reflection in geometry?

Back

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

Front

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

Back

Reflecting across the x-axis means that each point of the shape is moved to a new point directly opposite it on the other side of the x-axis.

Front

What does it mean to reflect across the y-axis?

Back

Reflecting across the y-axis means that each point of the shape is moved to a new point directly opposite it on the other side of the y-axis.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected. Points on one side of the line are mirrored to the opposite side.

Front

What is the effect of reflecting a shape across the line y=x?

Back

Reflecting a shape across the line y=x swaps the x-coordinates and y-coordinates of each point in the shape.

Front

What is the effect of reflecting a shape across the line y=-x?

Back

Reflecting a shape across the line y=-x swaps the x-coordinates and y-coordinates of each point in the shape and changes their signs.

Front

What is a sequence of transformations?

Back

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

Front

How can you determine if a transformation maps a shape onto itself?

Back

A transformation maps a shape onto itself if the final position of the shape after the transformation is identical to its original position.

Front

What is the significance of the order of transformations?

Back

The order of transformations is significant because applying transformations in different sequences can lead to different final positions of the shape.