Transformations and Symmetry Test 20 24

Front

What is a transformation composition?

Back

A transformation composition is a sequence of transformations applied to a figure, where the result of one transformation becomes the input for the next.

Front

What is the result of reflecting a point across the x-axis?

Back

The result of reflecting a point (x, y) across the x-axis is (x, -y).

Front

What is the result of reflecting a point across the y-axis?

Back

The result of reflecting a point (x, y) across the y-axis is (-x, y).

Front

What is the result of rotating a point 90 degrees counterclockwise around the origin?

Back

The result of rotating a point (x, y) 90 degrees counterclockwise around the origin is (-y, x).

Front

What is the result of rotating a point 180 degrees around the origin?

Back

The result of rotating a point (x, y) 180 degrees around the origin is (-x, -y).

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, defined by a scale factor (K).

Front

What does a scale factor K > 1 indicate in dilation?

Back

A scale factor K > 1 indicates an enlargement of the figure.

Front

What does a scale factor 0 < K < 1 indicate in dilation?

Back

A scale factor 0 < K < 1 indicates a reduction of the figure.

Front

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

Back

Reflecting a figure across the line y = x swaps the x and y coordinates of each point.

Front

What is the composition of a reflection across the x-axis followed by a reflection across the y-axis?

Back

The composition results in a rotation of 180 degrees around the origin.