Exploring Transformations and Congruence in Geometry

What is preserved in a rigid motion transformation?

• Area and volume

• Length and width

• Length, angle measure, and area

• Angle measure and volume

Which of the following transformations involves simply moving a shape to a different location?

• Rotation

• Dilation

• Reflection

• Translation

In a translation, how does the shape change?

• It changes size

• It changes color

• It changes location

• It changes orientation

What does a reflection transformation resemble?

• Looking into a mirror

• Turning a knob

• Moving a shape

• Stretching a shape

Which line acts as the 'mirror' in a reflection transformation?

• The curved line

• The dashed line

• The solid line

• The dotted line

What is the central concept of a rotation transformation?

• Moving a shape

• Turning around a point

• Reflecting a shape

• Changing the size of a shape

How many degrees can a shape be rotated in a rotation transformation?

• Only 90 degrees

• Only 360 degrees

• Any number of degrees

• Only 180 degrees

What happens when you combine a translation and a reflection?

• The shape moves and then flips

• The shape changes size

• The shape rotates and then moves

• The shape changes color

If a shape is moved and then reflected, what type of transformation is this?

• Dilation

• Combined transformation

• Rotation

• Translation

Why are figures A and B not congruent in the given example?

• They have different colors

• They do not fit perfectly after transformations

• They are different sizes

• They are different shapes