Transformations: Review for Test 1

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a shape in a straight line from one position to another without changing its size, shape, or orientation.

Front

What does the notation \( (x,y) \rightarrow (x-8,y-9) \) represent?

Back

This notation represents a translation of 8 units left and 9 units down.

Front

What is the result of the transformation \( (x,y) \rightarrow (y,-x) \)?

Back

This transformation reflects the point across the line \( y = x \).

Front

Explain the concept of reflection in geometry.

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What does the transformation \( (x,y) \rightarrow (x+13,y-6) \) indicate?

Back

This indicates a translation of 13 units right and 6 units down.

Front

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

Back

Reflecting a point \( (x,y) \) across the x-axis results in the point \( (x,-y) \).

Front

Describe the transformation \( (x,y) \rightarrow (-y,x) \).

Back

This transformation rotates the point 90 degrees counterclockwise around the origin.

Front

What is a 90 degrees clockwise rotation transformation?

Back

A 90 degrees clockwise rotation transforms a point \( (x,y) \) to \( (y,-x) \).

Front

Identify the transformation: A(-6,4) to A'(-4,-6).

Back

This is a reflection across the y-axis.