Transformations in Geometry

The video tutorial covers congruence and transformations in geometry, focusing on how translations, reflections, and rotations preserve the shape and size of figures. It explains the concept of composition of transformations and how sequences of transformations can demonstrate congruence between figures. Through examples, the tutorial illustrates how to determine congruence between triangles and other figures using various transformations. It also provides guidance on identifying transformations from pre-image to image.

Which of the following transformations does NOT change the size or shape of a figure?

• Reflection

• Translation

• Dilation

• Rotation

Which transformation involves flipping a figure over a line?

• Translation

• Rotation

• Reflection

• Dilation

What is the result called when multiple transformations are applied to a figure?

• Transformation Chain

• Transformation Sequence

• Transformation Composition

• Single Transformation

What is the term for a figure that has been moved without rotation or reflection?

• Reflection

• Rotation

• Translation

• Dilation

In the example of mapping triangle DEF onto triangle HGI, which transformation was NOT used?

• Dilation

• Rotation

• Reflection

• Translation

In the example of triangle ABC mapping onto triangle XYZ, what was the first transformation applied?

• Translation

• Reflection

• Rotation

• Dilation

If two figures cannot be made congruent through transformations, what does this imply?

• They are not congruent

• They are similar

• They are congruent

• They are identical

Which transformation is characterized by turning a figure around a fixed point?

• Rotation

• Dilation

• Translation

• Reflection

When identifying transformations, what does a change in the order of vertices indicate?

• A translation occurred

• No transformation occurred

• A rotation occurred

• A reflection occurred

What does it mean if a figure's orientation is reversed after a transformation?

• No transformation occurred

• A translation occurred

• A reflection occurred

• A rotation occurred